Percentage – MCQs
1. If the price of a book is increased
by 20% and later decreased by 20%, the net change in price is:
A. No change
B. 4% decrease
C. 2% decrease
D. 4% increase
Answer: B
2. A student scores 36% in an exam and
fails by 72 marks. If passing marks are 40%, what are the maximum marks?
A. 1200
B. 1800
C. 2000
D. 2400
Answer: B
3. What percentage of 250 is 45?
A. 16%
B. 18%
C. 20%
D. 22%
Answer: B
4. The population of a town increases by
10% in the first year and decreases by 10% in the second year. The net change
in population is:
A. No change
B. 1% decrease
C. 2% decrease
D. 1% increase
Answer: B
5. If A is 25% more than B, then B is
how much percent less than A?
A. 20%
B. 25%
C. 30%
D. 15%
Answer: A
6. A salary is increased by 15% and then
again increased by 10%. The total increase in salary is:
A. 25%
B. 26.5%
C. 27%
D. 28%
Answer: B
7. A shopkeeper gives two successive
discounts of 10% and 20%. What is the equivalent single discount?
A. 28%
B. 30%
C. 18%
D. 25%
Answer: A
8. If the cost price of an article is
₹800 and it is sold at a loss of 12.5%, the selling price is:
A. ₹700
B. ₹720
C. ₹750
D. ₹780
Answer: B
9. If 60% of a number is 180, what is
the number?
A. 270
B. 300
C. 320
D. 360
Answer: B
10.The price of an article is increased
by 25%. By what percentage should it be decreased to bring it back to its
original price?
A. 15%
B. 18%
C. 20%
D. 25%
Answer: C
11.If the length of a rectangle is
increased by 10% and breadth is decreased by 10%, the area will:
A. Increase by 1%
B. Decrease by 1%
C. Remain unchanged
D. Increase by 2%
Answer: B
12.A candidate needs 40% marks to pass.
He secures 320 marks and fails by 80 marks. What are the total marks?
A. 800
B. 900
C. 1000
D. 1200
Answer: C
13.What is the percentage increase when
a number changes from 40 to 50?
A. 20%
B. 22%
C. 25%
D. 30%
Answer: C
14.If 75% of the students in a class are
girls and the number of boys is 20, the total number of students is:
A. 60
B. 70
C. 80
D. 90
Answer: C
15.The value of a machine depreciates by
20% every year. What will be its value after 2 years if the present value is
₹50,000?
A. ₹32,000
B. ₹30,000
C. ₹28,000
D. ₹36,000
Answer: A
16.If the price of petrol rises from ₹80
to ₹88 per litre, the percentage increase is:
A. 8%
B. 9%
C. 10%
D. 12%
Answer: C
17.In an election, a candidate gets 55%
votes and wins by 1500 votes. Total votes polled are:
A. 10,000
B. 12,000
C. 15,000
D. 18,000
Answer: C
18.If A’s income is 
% more than B’s,
then B’s income is what percent of A’s?
A. 65%
B. 70%
C. 75%
D. 80%
Answer: C
19.A number is increased by 50% and then
decreased by 50%. The final value is:
A. Same as original
B. 25% less than original
C. 50% less than original
D. 10% less than original
Answer: B
20.If 20% of x = 30% of y, then x : y =
A. 2 : 3
B. 3 : 2
C. 4 : 3
D. 3 : 4
Answer: B
21.25% of 480 =
A. 100
B. 110
C. 120
D. 140
Ans: C
22.What percentage of 200 is 30?
A. 10%
B. 12%
C. 15%
D. 18%
Ans: C
23.If the price of an article increases
by 20% and then decreases by 20%, the net change is:
A. No change
B. 4% increase
C. 4% decrease
D. 2% decrease
Ans: C
24.60% of a number is 360. The number
is:
A. 500
B. 550
C. 600
D. 650
Ans: C
25.If A is 20% more than B, B is how
much percent less than A?
A. 15%
B. 16⅔%
C. 20%
D. 25%
Ans: B
26.A student scores 35% and fails by 90
marks. Passing marks are 40%. Maximum marks are:
A. 1200
B. 1500
C. 1800
D. 2000
Ans: B
27.A quantity is increased by 10% and
then again increased by 20%. The total increase is:
A. 30%
B. 32%
C. 33%
D. 28%
Ans: B
28.Equivalent discount for successive
discounts of 20% and 10% is:
A. 28%
B. 30%
C. 18%
D. 25%
Ans: A
29.The population of a town decreases by
10% in the first year and increases by 10% in the next year. Net change is:
A. No change
B. 1% increase
C. 1% decrease
D. 2% increase
Ans: C
30.If 40% of x = 20% of y, then x : y =
A. 1 : 2
B. 2 : 1
C. 3 : 2
D. 4 : 5
Ans: A
31.A salary of ₹20,000 is increased by
15%. New salary is:
A. ₹22,500
B. ₹23,000
C. ₹24,000
D. ₹25,000
Ans: B
32.What percent of 3 hours is 45
minutes?
A. 20%
B. 25%
C. 30%
D. 35%
Ans: B
33.If the length of a rectangle
increases by 20% and breadth decreases by 10%, area:
A. Increases by 8%
B. Decreases by 8%
C. Increases by 10%
D. No change
Ans: A
34.A number is first increased by 50%
and then decreased by 50%. Net result is:
A. No change
B. 25% decrease
C. 20% decrease
D. 10% decrease
Ans: B
35.If 75% of students are girls and
girls = 45, total students are:
A. 50
B. 55
C. 60
D. 65
Ans: C
36.If cost price is ₹800 and loss is
12.5%, selling price is:
A. ₹700
B. ₹720
C. ₹750
D. ₹780
Ans: B
37.The price of sugar increases from ₹40
to ₹44 per kg. Percentage increase is:
A. 8%
B. 9%
C. 10%
D. 12%
Ans: C
38.If A’s income is 25% more than B’s,
B’s income is what percent of A’s?
A. 70%
B. 75%
C. 80%
D. 85%
Ans: C
39.What is 12.5% of 640?
A. 60
B. 70
C. 80
D. 90
Ans: C
40.If 30% of x = 45, then x =
A. 120
B. 135
C. 150
D. 180
Ans: C
41.Successive increases of 10% and 10%
give a net increase of:
A. 20%
B. 21%
C. 22%
D. 19%
Ans: B
42.If the radius of a circle increases
by 10%, area increases by:
A. 10%
B. 20%
C. 21%
D. 22%
Ans: C
43.A student needs 50% to pass. He gets
270 marks and fails by 30 marks. Total marks:
A. 500
B. 540
C. 600
D. 620
Ans: C
44.If 20% of a number is added to it,
the new number becomes 180. Original number:
A. 140
B. 150
C. 160
D. 170
Ans: B
45.The value of a machine depreciates by
10% per year. After 2 years, its value becomes ₹8100. Original value:
A. ₹9000
B. ₹9500
C. ₹10000
D. ₹11000
Ans: C
46.If the price of an article is
increased by 25%, it must be reduced by what percent to restore original price?
A. 20%
B. 25%
C. 15%
D. 18%
Ans: A
47.If 60% of students passed and 240
failed, total students:
A. 400
B. 500
C. 600
D. 700
Ans: B
48.What percent is 45 out of 300?
A. 12%
B. 15%
C. 18%
D. 20%
Ans: B
49.If x is increased by 25%, it becomes
250. x =
A. 180
B. 190
C. 200
D. 210
Ans: C
50.If 80% of a number is 160, the number
is:
A. 180
B. 190
C. 200
D. 220
Ans: C
51.If 15% of a number is 90, the number
is:
A. 450
B. 500
C. 550
D. 600
Ans: B
52.The cost of an article is increased
by 30%. By what percent should it be reduced to get back the original cost?
A. 20%
B. 22%
C. 23 ¹⁄₁₃%
D. 25%
Ans: C
53.If 40% of the students in a class are
girls and the number of boys is 36, total students are:
A. 54
B. 60
C. 90
D. 72
Ans: C
54.A number is increased by 10% and then
decreased by 10%. The net result is:
A. No change
B. 1% increase
C. 1% decrease
D. 2% decrease
Ans: C
55.If the price of petrol falls from
₹100 to ₹90 per litre, the percentage decrease is:
A. 8%
B. 9%
C. 10%
D. 11%
Ans: C
56.If A is 40% less than B, then B is
how much percent more than A?
A. 40%
B. 60%
C. 66⅔%
D. 70%
Ans: C
57.What percent of 2 kg is 500 g?
A. 20%
B. 25%
C. 30%
D. 35%
Ans: B
58.A salary is increased by 20% and then
decreased by 10%. The net change is:
A. 8% increase
B. 10% increase
C. 12% increase
D. No change
Ans: A
59.If 70% of a number is 350, the number
is:
A. 450
B. 480
C. 500
D. 550
Ans: C
60.The value of a car depreciates by 20%
in the first year and 10% in the second year. Total depreciation is:
A. 28%
B. 30%
C. 32%
D. 25%
Ans: A
61.What percent of 1 hour is 15 minutes?
A. 20%
B. 25%
C. 30%
D. 35%
Ans: B
62.If the length of a square is
increased by 10%, its area increases by:
A. 10%
B. 20%
C. 21%
D. 22%
Ans: C
63.A student scores 60% and gets 360
marks. Total marks are:
A. 500
B. 550
C. 600
D. 650
Ans: C
64.If 25% of x = 50% of y, then x : y =
A. 1 : 2
B. 2 : 1
C. 3 : 2
D. 4 : 1
Ans: B
65.The price of an article is increased
by 15%. If the new price is ₹920, original price was:
A. ₹780
B. ₹800
C. ₹820
D. ₹850
Ans: B
66.If 12.5% of a number is 25, the
number is:
A. 150
B. 180
C. 200
D. 220
Ans: C
67.A shopkeeper offers successive
discounts of 10% and 15%. The net discount is:
A. 23.5%
B. 24%
C. 25%
D. 26.5%
Ans: A
68.What is the percentage increase from
80 to 100?
A. 20%
B. 22%
C. 25%
D. 30%
Ans: C
69.If 90% of a number is 270, the number
is:
A. 280
B. 300
C. 320
D. 350
Ans: B
70.A student gets 420 marks and passes
by 20 marks. If passing marks are 40%, total marks are:
A. 1000
B. 1050
C. 1100
D. 1200
Ans: A
71.If the population of a city increases
by 5% annually, the increase after 2 years is:
A. 10%
B. 10.25%
C. 11%
D. 12%
Ans: B
72.What percent is 36 of 240?
A. 12%
B. 15%
C. 18%
D. 20%
Ans: B
73.If the price of sugar rises by 20%,
by what percent must consumption be reduced so that expenditure remains the
same?
A. 15%
B. 16⅔%
C. 18%
D. 20%
Ans: B
74.If 80% students pass an exam and 120
fail, total students are:
A. 500
B. 550
C. 600
D. 650
Ans: C
75.A number is increased by 25%. The
increase is 50. Original number:
A. 150
B. 180
C. 200
D. 250
Ans: C
76.What is 20% of 2.5 hours?
A. 20 min
B. 25 min
C. 30 min
D. 35 min
Ans: C
77.If the side of a cube is increased by
10%, its volume increases by:
A. 21%
B. 30%
C. 33.1%
D. 40%
Ans: C
78.The income of A is 20% more than B.
By what percent is B’s income less than A’s?
A. 15%
B. 16⅔%
C. 18%
D. 20%
Ans: B
79.If the marked price of an article is
₹2000 and discount is 15%, selling price is:
A. ₹1600
B. ₹1650
C. ₹1700
D. ₹1750
Ans: B
80.What percent of 500 is 125?
A. 20%
B. 22%
C. 25%
D. 30%
Ans: C
81.If 35% of a number is 280, the number
is:
A. 700
B. 750
C. 800
D. 850
Ans: C
82.The cost price of an article is ₹400.
If it is sold at a profit of 25%, selling price is:
A. ₹480
B. ₹500
C. ₹520
D. ₹550
Ans: B
83.What is the percentage decrease from
250 to 200?
A. 15%
B. 18%
C. 20%
D. 25%
Ans: C
84.If the price of rice increases by
10%, by what percent should consumption be decreased to keep expenditure same?
A. 8%
B. 9%
C. 10%
D. 11%
Ans: B
85.A student scores 480 marks and fails
by 20 marks. If passing marks are 50%, total marks are:
A. 900
B. 960
C. 1000
D. 1200
Ans: C
86.If 60% of A = 40% of B, then A : B =
A. 2 : 3
B. 3 : 2
C. 4 : 3
D. 5 : 3
Ans: B
87.A number is decreased by 20%. The
decrease is 80. Original number is:
A. 320
B. 360
C. 400
D. 450
Ans: C
88.What percent of 1 day is 6 hours?
A. 20%
B. 25%
C. 30%
D. 35%
Ans: B
89.If the value of a machine depreciates
by 25%, its value becomes ₹15,000. Original value:
A. ₹18,000
B. ₹20,000
C. ₹22,000
D. ₹24,000
Ans: B
90.If the radius of a circle is reduced
by 10%, the area is reduced by:
A. 10%
B. 18%
C. 19%
D. 21%
Ans: C
Section B
Q.1 Veena bought a watch costing Rs.
1404 including sales tax at 8%. She asked the shopkeeper to reduce the price of
the watch so that she can save the amount equal to the tax. The reduction of
the price of the watch is?
A. Rs.108
B. Rs.104
C. Rs.112
D. Rs.120
E. None of these
Answer & Explanation B. Rs.104
Explanation: 1.08x = 1404 x = 1300 The reduction of the price of the watch =
104
Q.2 A Sales Executive gets a
commission on total sales at 8%. If the sale is exceeded Rs.10,000 he gets an
additional commission as a bonus of 4% on the excess of sales over Rs.10,000.
If he gets the total commission of Rs.950, then the bonus he received is?
A. 40
B. 50
C. 36
D. 48
E. None of these
Answer & Explanation B. 50
Explanation: Commission up to 10000 = 10000 * 8/100 = 800 Ratio = 2x:x ;
Commission = 2x, Bonus = x ; Bonus = 950 – 800 * 1/3 = 150 * 1/3 = 50
Q.3 In a College there are 1800
students. Last day except 4% of the boys all the students were present in the
college. Today except 5% of the girls all the students are present in the
college, but in both the days number of students present in the college, were
same. The number of girls in the college is?
A. 1000
B. 400
C. 800
D. 600
E. 1200
Answer & Explanation C. 800
Explanation: From Options; let Number of girls = 800 Number of boys = 1000 96%
of 1000 + 800 = 95% of 800 + 1000[satisfies the condition; Check the condition
with other options also]
Q.4 In a library 60% of the books are
in Hindi, 60% of the remaining books are in English rest of the books are in
Malayalam. If there are 4800 books in English, then the total number of books
in Malayalam are?
A. 3400
B. 3500
C. 3100
D. 3200
E.None of these
Answer & Explanation D. 3200
Explanation: Let there are X books in the library. Hindi books = 60% of X = 60X
/100 = 0.6X Remaining Books = X – 0.6X = 0.4X English books = 40% of reaming
books = 60% of 0.4X = 0.24X. Malayalam Books = X-0.6X -0.24X = 0.16X Given,
0.24X = 4800 X = 4800/0.24 = 20000 Malayalam Books = 0.16X = 0.16*20000 = 3200.
Q.5 80% of a small number is 4 less
than 40% of a larger number. The larger number is 125 greater than the smaller
one. The sum of these two numbers is
A. 325
B. 345
C. 355
D. 365
E. None of these
Answer & Explanation C. 355 Explanation:
smaller number = x; larger number = y 0.8x + 4 = 0.4y 4y – 8x = 40 y – x = 125
x = 115; y = 240 x + y = 355
Q.6 In a private company 60% of the
employees are men and 48% of the employees are Engineer and 66.6% of Engineers
are men. The percentage of women who are not engineers is?
A. 60%
B. 50%
C. 55%
D. 65%
E. 45%
Answer & Explanation A. 60%
Explanation: Men = 600x Women = 400x Total engineers = 480x Male engineers =
480x * 0.66 = 320x Women who are Engineers = 160x Women who are not Engineers =
400x – 160x = 240x Required percentage = 240/400 * 100 = 60%
Q.7 Initially, Suresh has Rs.200 in
his paytm wallet then he increased it by 20%. Once again he increased his
amount by 25%. The final value of money in his wallet will be how much %
greater than the initial amount?
A. 40%
B. 50%
C. 80%
D. 60%
E. None of these
Answer & Explanation B. 50%
Explanation: 200 + 20% of 200 = 240 240 + 25% of 240 = 300 Required percentage
= 300 – 200/200 * 100 = 50%
Q.8 Mr.Ramesh gives 10% of some
amount to his wife and 10% of the remaining to hospital expenses and again 10%
of the remaining amount to charity. Then he has only Rs.7290 with him. What is
the initial sum of money with that person?
A. Rs.8000
B. Rs.9000
C. Rs.10000
D. Rs.20000
E. Rs.17200
Answer & Explanation C. Rs.10000
Explanation: Remaining amount = x * 0.9 * 0.9 * 0.9 0.729x = 7290 x = 10000
Q.9 Initially, a shopkeeper had “x”
pens. A customer bought 10% of pens from “x” then another customer bought 20%
of the remaining pens after that one more customer purchased 25% of the
remaining pens. Finally, shopkeeper is left with 270 pens in his shop. How many
pens were there initially in his shop?
A. 200
B. 800
C. 400
D. 600
E. 500
Answer & Explanation E. 500
Explanation: x*0.9*0.8*0.75 =270 x = 270 * 10000 / 9 * 8 * 75 x = 500
Q.10 The cost of packaging of the
oranges is 20% the cost of fresh oranges themselves. The cost of oranges
increased by 30% but the cost of packaging decreased by 50%, then the
percentage change of the cost of packed oranges, if the cost of packed oranges
is equal to the sum of the cost of fresh oranges and cost of packaging
A. 14.5%
B. 16.66%
C. 14.33%
D. 13.66%
E. None of these
Answer & Explanation B. 16.66%
Explanation: Let initial Cost of fresh, oranges = 100. packaging cost = 20.
Initial total cost = 100 + 20 = 120 after increasing in cost of fresh mangoes
30%, Cost of fresh mangoes = 130 And cost of packing go down by 50 % so, Cost
of packing = 10. Total cost = 130 + 10 = 140. Increased cost = 140 – 120 = 20.
% increased = (20*100) /120 = 16.66%.
Q.11 Cost Price of two laptops is
same. One of the laptops is sold at a profit of 15% and the Selling Price of
another one laptop is Rs. 3400 more than the first one. The net profit is 20%.
What is the Cost Price of Each laptop?
A.36000
B.40000
C.48000
D.34000
E.None of these
Answer & Explanation D.34000
Explanation: (2x*1.15) + 3400 = 2x*1.20 2.4x – 2.3x = 3400 x = 34000
Q.12 In an office there are 40%
female employees. 50% of the male employees are UG graduates. The total 52% of
employees are UG graduates out of 1800 employees. What is the number of female
employees who are UG graduates?
A. 362
B. 412
C. 396
D. 428
E. None of these
Answer & Explanation C. 396
Explanation: Total employees = 1800 female employees = 40% male employees = 60%
50% of male employess = UG graduates = 30% Female employees who are UG
graduates = 22% 22% of 1800 = 396
Q.13 Ravi got 70% in English and 56%
in Biology and the maximum marks of both papers is 100. What percent does he
score in Maths, if he scores 60% marks in all the three subjects?. Maximum
Marks of Maths paper is 200.
A. 30%
B. 40%
C. 45%
D. 25%
E. 57%
Answer & Explanation E. 57%
Explanation: 70 + 56 + x = 60% of all three subjects 70 + 56 + x = 60% of 400 x
= 240 – 126 = 114 % = 114/200 * 100 = 57%
Q.14 Mr.Ravi’s salary was reduced by
25% for three months. But after the three months, his salary was increased to
the original salary. What is the percentage increase in salary of Mr.Ravi?
A. 33.33%
B. 42.85%
C. 28.56%
D. 16.66%
E. None of these
Answer & Explanation A. 33.33%
Explanation: Percentage increase = 25/75 * 100 = 33.33%
Q.15 In an election only two
candidates A and B contested 30% of the voters did not vote and 1600 votes were
declared as invalid. The winner, A got 4800 votes more than his opponent thus
he secured 51% votes of the total voters on the voter list. Percentage votes of
the loser candidate, B out of the total voters on the voter list is:
A. 5.6%
B. 3%
C. 6.2%
D. 5%
E. 4.6%
Answer & Explanation B. 3%
Explanation: Total voters on the voter list = x 0.51x + 0.51x – 4800 = 0.70x –
1600 1.02x – 4800 = 0.70x – 1600 x = 10000 Votes of the loser candidate = 5100
– 4800 = 300 Percentage votes of the loser candidate = 300/10000 * 100 = 3%
Q. 16 In a school there are 2000
students. On January 2nd, all the students were present in the school except 4%
of the boys and on January 3rd, all the students are present in the school
except 28/3% of the girls, but in both the days number of students present in
the school, were same. The number of girls in the school is?
A. 400
B. 1200
C. 800
D. 600
E. None of these
Answer & Explanation D. 600
Explanation: From Options; let Number of girls = 600 Number of boys = 1400 96%
of 1400 + 600 = [600 – 28/3 % of 600] + 1400 = 1944[satisfies the condition;
Check the condition with other options also]
Some More Important Questions
1.A mixture contains milk and water in the ratio 7 : 3. If 20 litres of water
is added to the mixture, the percentage of milk becomes 50%. What was the
initial quantity of the mixture?
(a) 40 litres
(b) 50 litres
(c) 60 litres
(d) 70 litres
Answer: (c)
2.In what ratio must a mixture of 40% alcohol be mixed with pure alcohol so
that the resulting mixture contains 70% alcohol?
(a) 2 : 1
(b) 3 : 2
(c) 1 : 1
(d) 3 : 1
Answer: (b)
3.A vessel contains 60 litres of a mixture of milk and water in which milk is
25%. How much of the mixture should be replaced with milk so that milk becomes
50%?
(a) 15 litres
(b) 20 litres
(c) 25 litres
(d) 30 litres
Answer: (b)
4.A shopkeeper mixes two varieties of rice costing ₹48/kg and ₹72/kg in such
a ratio that by selling the mixture at ₹64/kg, he gains 20%. The ratio of the
cheaper to dearer rice is:
(a) 3 : 2
(b) 2 : 3
(c) 1 : 2
(d) 4 : 3
Answer: (a)
5.A container has a mixture of sugar and salt in the ratio 5 : 3 by weight.
If 8 kg of sugar is added, the percentage of sugar becomes 70%. What was the
initial weight of the mixture?
(a) 32 kg
(b) 40 kg
(c) 48 kg
(d) 56 kg
Answer: (b)
6.A solution contains 30% acid. If 15 litres of water is added, the acid
percentage reduces to 20%. What was the original quantity of the solution?
(a) 30 litres
(b) 40 litres
(c) 45 litres
(d) 60 litres
Answer: (b)
7.Two mixtures A and B contain alcohol and water in the ratios 4 : 1 and 3 :
2 respectively. In what ratio should A and B be mixed so that the resulting
mixture contains 62.5% alcohol?
(a) 1 : 1
(b) 2 : 3
(c) 3 : 2
(d) 5 : 3
Answer: (c)
8.A mixture contains tea and sugar in the ratio 9 : 1. If 10 kg of sugar is
added, the ratio becomes 3 : 1. What was the original quantity of the mixture?
(a) 20 kg
(b) 30 kg
(c) 40 kg
(d) 50 kg
Answer: (c)
9.A vessel contains a mixture of milk and water. If 20% of the mixture is
replaced by water, milk content reduces by 10%. What was the original
percentage of milk?
(a) 40%
(b) 50%
(c) 60%
(d) 70%
Answer: (c)
10.In a mixture of 120 litres, milk is 30% more than water. How much water
must be added so that milk becomes 40% of the mixture?
(a) 20 litres
(b) 25 litres
(c) 30 litres
(d) 35 litres
11.A vessel contains 80 litres of a mixture of milk and water. 25% of the
mixture is replaced by milk and this operation is repeated once again. If
finally the percentage of milk becomes 68.75%, what was the initial percentage
of milk?
(a) 40%
(b) 45%
(c) 50%
(d) 55%
Answer: (b)
12.Two solutions A and B contain alcohol in the ratio 7 : 3 and 3 : 7 respectively.
They are mixed in such a way that the final mixture contains 50% alcohol. What
is the ratio of A to B?
(a) 3 : 7
(b) 7 : 3
(c) 5 : 7
(d) 7 : 5
Answer: (b)
13.A mixture contains sugar, salt and sand in the ratio 6 : 5 : 4 by weight.
If the price per kg of sugar, salt and sand are in the ratio 3 : 2 : 1
respectively, then sugar contributes what percentage to the total cost of the
mixture?
(a) 45%
(b) 50%
(c) 54%
(d) 60%
Answer: (c)
14.A container has a mixture of acid and water. 10 litres of the mixture is
replaced by water, reducing acid concentration by 10%. If this process is
repeated once more, the acid concentration reduces to 36%. What was the initial
concentration of acid?
(a) 50%
(b) 55%
(c) 60%
(d) 65%
Answer: (c)
15.A solution of 60 litres contains alcohol and water. After replacing 20% of
the solution with pure alcohol, the concentration of alcohol increases by 15%.
What was the original percentage of alcohol?
(a) 30%
(b) 35%
(c) 40%
(d) 45%
Answer: (b)
16.A mixture of rice costs ₹54/kg. Cheaper rice costs ₹48/kg and dearer rice
costs ₹72/kg. If the mixture is sold at 20% profit, what is the ratio of
cheaper rice to dearer rice?
(a) 3 : 1
(b) 2 : 1
(c) 1 : 2
(d) 5 : 3
Answer: (c)
17.In a 100-litre mixture of milk and water, milk is 20 litres more than
water. How much water must be added so that milk becomes 37.5% of the mixture?
(a) 40 litres
(b) 50 litres
(c) 60 litres
(d) 70 litres
Answer: (b)
18.A vessel contains 90 litres of milk. 10 litres of milk is replaced by water
three times successively. What percentage of milk remains in the vessel finally
(approx.)?
(a) 70%
(b) 72%
(c) 74%
(d) 76%
Answer: (d)
19.Two mixtures contain milk and water in the ratios 5 : 3 and 7 : 5
respectively. How much of the first mixture must be mixed with 48 litres of the
second mixture so that the resulting mixture contains 60% milk?
(a) 32 litres
(b) 36 litres
(c) 40 litres
(d) 44 litres
Answer: (b)
20.A mixture contains alcohol and water in the ratio 4 : 1. 20 litres of the
mixture is replaced by water and then 20 litres of the new mixture is replaced
by alcohol. If finally alcohol becomes 70%, what was the original quantity of
the mixture?
(a) 50 litres
(b) 60 litres
(c) 80 litres
(d) 100 litres
Answer: (c)
SOME EXTRA QUESTIONS
1.
A mixture contains
milk and water in the ratio 11:9. If 10 litres of water is added, milk becomes
50%. Initial quantity?
(a) 80 L (b) 90 L (c) 100 L (d) 110 L
Ans: (c)
2.
40% acid solution
is mixed with 70% acid solution to get 55%. Ratio?
(a) 2:1 (b) 3:2 (c) 1:1 (d) 5:3
Ans: (b)
3.
A vessel has 60 L
mixture. 15 L replaced by water → milk reduces by 12.5%. Original milk %?
(a) 40 (b) 45 (c) 50 (d) 55
Ans: (c)
4.
Tea worth ₹80/kg
mixed with ₹120/kg in 3:2. CP of mixture?
(a) 96 (b) 100 (c) 104 (d) 108
Ans: (c)
5.
Sugar : Sand =
7:3. If sand is 12 kg, total mixture?
(a) 28 (b) 30 (c) 36 (d) 40
Ans: (b)
6.
Alcohol in a
mixture is 25%. How much pure alcohol added to 40 L to make it 50%?
(a) 10 (b) 15 (c) 20 (d) 25
Ans: (c)
7.
Two mixtures have
milk % as 60% and 30%. Ratio to get 50%?
(a) 1:2 (b) 2:1 (c) 3:2 (d) 2:3
Ans: (b)
8.
In 90 L milk, 10
L replaced thrice. Milk left (%)?
(a) 72 (b) 74 (c) 76 (d) 78
Ans: (c)
9.
Rice at ₹48 and
₹72 mixed. Mixture sold at ₹64 with 20% profit. Ratio?
(a) 1:2 (b) 2:3 (c) 3:2 (d) 4:3
Ans: (c)
10.
A solution has
20% salt. Water added equal to solution. New %?
(a) 8 (b) 10 (c) 12 (d) 15
Ans: (b)
11.
Milk exceeds
water by 20 L in 100 L. Milk %?
(a) 50 (b) 55 (c) 60 (d) 70
Ans: (c)
12.
If 25% mixture
replaced twice, remaining original %?
(a) 56.25 (b) 62.5 (c) 68.75 (d) 75
Ans: (c)
13.
Acid reduced from
50% to 40% by adding 10 L water. Original quantity?
(a) 40 (b) 50 (c) 60 (d) 70
Ans: (c)
14.
Two alloys A(3:1)
and B(5:3). Resultant 60% copper. Ratio?
(a) 2:1 (b) 3:2 (c) 4:3 (d) 5:4
Ans: (b)
15.
Milk + water =
120 L. Milk is 25% more than water. Milk?
(a) 66 (b) 72 (c) 75 (d) 80
Ans: (c)
16.
Sugar increased
by 20% then reduced by 20%. Net change?
(a) +4% (b) –4% (c) 0 (d) +2%
Ans: (b)
17.
30% alcohol mixed
with water in 2:1. Final %?
(a) 10 (b) 15 (c) 20 (d) 25
Ans: (b)
18.
Salt is 15 kg in
mixture. After adding 5 kg salt, % becomes 50%. Initial mixture?
(a) 20 (b) 25 (c) 30 (d) 35
Ans: (c)
19.
Milk removed =
20% thrice. Remaining milk %?
(a) 48.8 (b) 51.2 (c) 56 (d) 60
Ans: (a)
20.
Two solutions 20%
& 50%. Result 35%. Ratio?
(a) 1:1 (b) 2:3 (c) 3:2 (d) 5:3
Ans: (c)
21.
If sugar is 40%
of 50 kg mixture, sugar (kg)?
Ans: (b) 20
22.
Milk is 60 L,
water added makes milk 40%. Water added?
Ans: (c) 30
23.
Replacement twice
leaves 81%. Replaced % each time?
Ans: (b) 10
24.
Tea worth ₹100/kg
mixed with ₹80/kg. Mean ₹92. Ratio?
Ans: (c) 3:1
25.
Alcohol reduced
from 60% to 45% by adding 15 L water. Quantity?
Ans: (d) 60
26.
Sugar:Salt = 4:1,
cost ratio 5:2. Sugar cost %?
Ans: (c) 80
27.
Milk:Water = 7:5,
milk increased by 10 L gives equal. Mixture?
Ans: (b) 60
28.
Acid removed 20%
thrice. Remaining %?
Ans: (a) 51.2
29.
Rice mixture sold
at loss 10%, SP ₹54. CP?
Ans: (c) 60
30.
Solution diluted
25%, new % 30. Original %?
Ans: (d) 40
Q31.Two solutions contain alcohol and water
in the ratios 5 : 3 and 7 : 5 respectively. In what ratio should they be mixed
so that alcohol is 60% in the final mixture?
(a) 2 : 3
(b) 3 : 2
(c) 4 : 5
(d) 5 : 4
Q32.A vessel contains 75 litres of a mixture
of milk and water. If milk is 25 litres more than water, find the percentage of
milk.
(a) 60%
(b) 65%
(c) 66⅔%
(d) 70%
Q33.A solution of acid and water contains
30% acid. If 20 litres of water is added, the acid percentage reduces to 20%.
Find the original quantity of the solution.
(a) 40 L
(b) 50 L
(c) 60 L
(d) 80 L
Q34.In a mixture of sugar, salt and sand in
the ratio 4 : 3 : 3 by weight, the cost per kg are in the ratio 5 : 3 : 1
respectively. What percentage of the total cost is due to sugar?
(a) 45%
(b) 50%
(c) 55%
(d) 62.5%
Q35.A container has 100 litres of a
milk–water mixture. 20 litres of the mixture is replaced by water twice. Find
the percentage of milk left finally.
(a) 40%
(b) 44%
(c) 48%
(d) 52%
Q36.Two varieties of rice costing ₹50/kg and
₹70/kg are mixed in such a ratio that the cost price of the mixture becomes
₹62/kg. Find the ratio of the two varieties.
(a) 2 : 3
(b) 3 : 2
(c) 4 : 1
(d) 5 : 2
Q37.In a 120-litre mixture of milk and
water, milk is 40% of the mixture. How much water must be added so that milk
becomes 30%?
(a) 30 L
(b) 40 L
(c) 48 L
(d) 60 L
Q38.A solution contains alcohol and water in
the ratio 3 : 2. If 20 litres of the solution is replaced by pure alcohol, the
ratio becomes 7 : 3. Find the initial quantity of the solution.
(a) 50 L
(b) 60 L
(c) 70 L
(d) 80 L
Q39.A mixture contains sugar and sand in the
ratio 5 : 3. If 16 kg of sand is added, the ratio becomes 5 : 7. Find the
initial quantity of the mixture.
(a) 32 kg
(b) 40 kg
(c) 48 kg
(d) 56 kg
Q40.A vessel contains 90 litres of milk. 15
litres of milk is replaced by water repeatedly twice. What percentage of milk
remains finally?
(a) 49%
(b) 56%
(c) 62%
(d) 64%
Q41.Two solutions of 25% and 75% acid are
mixed to get 55% acid. Find the ratio of the two solutions.
(a) 1 : 2
(b) 2 : 3
(c) 3 : 2
(d) 4 : 1
Q42.In a mixture, alcohol is 20%. If 10
litres of pure alcohol is added, the percentage becomes 40%. Find the original
quantity.
(a) 20 L
(b) 25 L
(c) 30 L
(d) 40 L
Q43.A mixture of 60 litres contains alcohol
and water. After removing 15 litres of mixture and replacing it with water,
alcohol reduces by 10%. Find the original percentage of alcohol.
(a) 30%
(b) 35%
(c) 40%
(d) 45%
Q44.Two alloys contain copper and zinc in the
ratios 7 : 3 and 3 : 7 respectively. In what ratio should they be mixed so that
copper becomes 50%?
(a) 1 : 1
(b) 2 : 3
(c) 3 : 2
(d) 5 : 4
Q45.A mixture of milk and water is in the
ratio 9 : 7. How much water must be added to 64 litres of the mixture so that
the ratio becomes 3 : 5?
(a) 16 L
(b) 20 L
(c) 24 L
(d) 32 L
Q46.A vessel contains 80 litres of milk. 20
litres is replaced by water and this process is repeated once again. Find the
final percentage of milk.
(a) 42%
(b) 56.25%
(c) 60%
(d) 62.5%
Q47.In a solution, water is 80%. If 20
litres of pure acid is added, the acid percentage becomes 40%. Find the
original quantity.
(a) 40 L
(b) 50 L
(c) 60 L
(d) 80 L
Q48.A mixture contains sugar and salt in the
ratio 5 : 1. If 12 kg of salt is added, the ratio becomes 5 : 3. Find the
original quantity of the mixture.
(a) 24 kg
(b) 30 kg
(c) 36 kg
(d) 42 kg
Q49.A mixture contains 60 litres of alcohol.
If water equal to 25% of the mixture is added, alcohol percentage becomes 40%.
Find the original quantity of the mixture.
(a) 120 L
(b) 135 L
(c) 150 L
(d) 180 L
Q50.A vessel contains milk and water in the
ratio 4 : 1. If 20 litres of water is added, the ratio becomes 2 : 1. Find the
original quantity of the mixture.
(a) 40 L
(b) 50 L
(c) 60 L
(d) 80 L
Q.51 A vessel contains 100 litres of a
milk–water mixture in which milk is 60%. 25 litres of the mixture is replaced
by water. What is the final percentage of milk?
(a) 45%
(b) 48%
(c) 50%
(d) 52%
Q52.Two solutions contain salt in the ratio
3 : 5 and 7 : 3 respectively. In what ratio should they be mixed so that the
resulting mixture contains 50% salt?
(a) 1 : 1
(b) 2 : 3
(c) 3 : 2
(d) 4 : 3
Q53.A solution is 40% acid. How much water
must be added to 50 litres of this solution so that acid becomes 25%?
(a) 20 L
(b) 25 L
(c) 30 L
(d) 40 L
Q54.A mixture of rice is sold at ₹66/kg at a
profit of 10%. If the rice was mixed in the ratio 2 : 3, find the cost of the
cheaper rice (cost of dearer rice = ₹72/kg).
(a) ₹48
(b) ₹50
(c) ₹54
(d) ₹56
Q55.A vessel contains 80 litres of milk. 10
litres of milk is replaced by water four times successively. What percentage of
milk remains finally (approx.)?
(a) 52%
(b) 56%
(c) 59%
(d) 62%
Q56.In a mixture, sugar is 25% and salt is
15%. What percentage of the mixture is sand?
(a) 50%
(b) 55%
(c) 60%
(d) 65%
Q57.A solution contains alcohol and water in
the ratio 5 : 7. How much alcohol must be added to 96 litres of the solution to
make alcohol 50%?
(a) 24 L
(b) 30 L
(c) 36 L
(d) 48 L
Q58.Two mixtures are in the ratio 3 : 4 and
5 : 6 respectively. How much of the first mixture should be mixed with 44
litres of the second to get a mixture with 45% of the first ingredient?
(a) 24 L
(b) 28 L
(c) 32 L
(d) 36 L
Q59.A vessel contains 60 litres of a mixture
of milk and water. After replacing 12 litres of the mixture with water, milk
reduces by 20%. What was the original percentage of milk?
(a) 40%
(b) 45%
(c) 50%
(d) 60%
Q60.A mixture of sugar and salt is in the
ratio 7 : 3. If 10 kg of sugar is added, sugar becomes 75% of the mixture. Find
the original quantity of the mixture.
(a) 30 kg
(b) 40 kg
(c) 50 kg
(d) 60 kg
Q61.A vessel contains 120 litres of milk and
water in the ratio 5 : 3. How much water must be added so that the ratio
becomes 5 : 4?
(a) 10 L
(b) 12 L
(c) 15 L
(d) 18 L
Q62.A solution of 50 litres contains 20%
alcohol. How much pure alcohol must be added to make it 30%?
(a) 5 L
(b) 7.5 L
(c) 10 L
(d) 12.5 L
Q63.In a mixture of tea costing ₹96/kg, tea
costing ₹80/kg is mixed with another variety. If the ratio is 3 : 2, find the
cost of the dearer tea.
(a) ₹112
(b) ₹116
(c) ₹120
(d) ₹124
Q64.A vessel contains milk and water in the
ratio 8 : 5. If 26 litres of water is added, the ratio becomes 4 : 3. Find the
initial quantity.
(a) 52 L
(b) 65 L
(c) 78 L
(d) 91 L
Q65.A mixture contains 45 litres of alcohol.
If 15 litres of water is added, alcohol becomes 60%. Find the original
quantity.
(a) 60 L
(b) 65 L
(c) 75 L
(d) 90 L
Q66.A container has a mixture of milk and
water. If 30% of the mixture is replaced by water, milk reduces by 21%. What
was the original percentage of milk?
(a) 50%
(b) 60%
(c) 70%
(d) 75%
Q67.Two solutions contain acid in the ratio
2 : 5 and 3 : 7 respectively. They are mixed in equal quantities. Find the
percentage of acid in the resulting mixture.
(a) 28%
(b) 30%
(c) 32%
(d) 35%
Q68.A mixture contains sugar, salt and sand
in the ratio 5 : 3 : 2. What percentage of the mixture is salt?
(a) 20%
(b) 25%
(c) 30%
(d) 35%
Q69.A vessel contains 100 litres of milk. 20
litres of milk is replaced by water thrice. What percentage of milk remains?
(a) 40.96%
(b) 51.2%
(c) 60%
(d) 64%
Q70.A solution contains 70% water. How much
water must be added to 40 litres of solution to make water 80%?
(a) 10 L
(b) 15 L
(c) 20 L
(d) 25 L
Q71.Two alloys contain copper and zinc in
the ratios 3 : 2 and 7 : 3. In what ratio should they be mixed so that copper
becomes 60%?
(a) 1 : 2
(b) 2 : 3
(c) 3 : 4
(d) 4 : 5
Q72.A mixture of rice costs ₹60/kg. If rice
costing ₹50/kg and ₹70/kg are mixed, find the ratio.
(a) 1 : 1
(b) 2 : 3
(c) 3 : 2
(d) 4 : 1
Q73.In a mixture, alcohol is 30%. If 20
litres of pure alcohol is added, alcohol becomes 50%. Find the original
quantity.
(a) 40 L
(b) 50 L
(c) 60 L
(d) 80 L
Q74.A vessel contains 72 litres of milk and
water in the ratio 5 : 3. How much milk must be added to make the ratio 3 : 1?
(a) 12 L
(b) 18 L
(c) 24 L
(d) 30 L
Q75.A mixture of salt and sugar weighs 40
kg. Sugar is 60%. How much salt must be added to make sugar 50%?
(a) 6 kg
(b) 8 kg
(c) 10 kg
(d) 12 kg
Q76.A vessel contains 90 litres of alcohol.
30 litres is replaced by water twice. What percentage of alcohol remains?
(a) 44.4%
(b) 49.4%
(c) 55.6%
(d) 60%
Q77.A solution is diluted by 20% water. If
the new concentration is 32%, what was the original concentration?
(a) 36%
(b) 40%
(c) 45%
(d) 50%
Q78.A mixture contains milk and water in the
ratio 11 : 5. If 24 litres of water is added, milk becomes 50%. Find the original
quantity.
(a) 64 L
(b) 80 L
(c) 96 L
(d) 112 L
Q79.A mixture of tea worth ₹120/kg is
obtained by mixing two varieties in the ratio 3 : 5. If one variety costs
₹96/kg, find the cost of the other.
(a) ₹132
(b) ₹135
(c) ₹138
(d) ₹144
Q80.A vessel contains 150 litres of a
mixture. Milk is 50 litres more than water. Find the percentage of milk.
(a) 60%
(b) 62.5%
(c) 66.67%
(d) 70%
Q81.A vessel contains 200 litres of a
milk–water mixture in which milk is 25% more than water. Find the percentage of
milk.
(a) 55%
(b) 60%
(c) 62.5%
(d) 66.67%
Q82.A mixture contains alcohol and water in
the ratio 7 : 3. If 20 litres of water is added, alcohol becomes 56%. Find the
original quantity of the mixture.
(a) 70 L
(b) 80 L
(c) 90 L
(d) 100 L
Q83.Two solutions of salt contain 30% and
60% salt respectively. In what ratio should they be mixed so that the resulting
mixture contains 45% salt?
(a) 1 : 1
(b) 2 : 1
(c) 3 : 2
(d) 4 : 3
Q84.A vessel contains 64 litres of milk. 16
litres of milk is replaced by water three times successively. What percentage
of milk remains finally?
(a) 31.64%
(b) 36.42%
(c) 42.19%
(d) 48.83%
Q85.A mixture of rice costs ₹68/kg. If rice
costing ₹60/kg and ₹80/kg are mixed in the ratio 3 : 1, find the percentage
profit if the mixture is sold at ₹75/kg.
(a) 8%
(b) 10%
(c) 12.5%
(d) 15%
Q86.A solution contains 45 litres of
alcohol. If 25% of the solution is replaced by water, alcohol percentage
becomes 40%. Find the original quantity of the solution.
(a) 80 L
(b) 90 L
(c) 100 L
(d) 120 L
Q87.A mixture contains sugar, salt and sand
in the ratio 4 : 3 : 1. What percentage of the mixture is sand?
(a) 10%
(b) 12.5%
(c) 15%
(d) 20%
Q88.A vessel contains 100 litres of milk. 20
litres is replaced by water and this operation is repeated four times. What
percentage of milk remains finally (approx.)?
(a) 32.77%
(b) 40.96%
(c) 48.83%
(d) 52.43%
Q89.Two mixtures of milk and water are in
the ratios 9 : 5 and 5 : 3 respectively. In what ratio should they be mixed so
that the final mixture contains 62.5% milk?
(a) 1 : 2
(b) 2 : 1
(c) 3 : 2
(d) 4 : 3
Q90.A solution is diluted by adding 20%
water. If the new concentration is 24%, what was the original concentration?
(a) 30%
(b) 32%
(c) 36%
(d) 40%
Q91.A vessel contains 150 litres of milk and
water in the ratio 7 : 3. How much water must be added so that the ratio
becomes 7 : 5?
(a) 15 L
(b) 20 L
(c) 25 L
(d) 30 L
Q92.A mixture of tea costing ₹84/kg is
obtained by mixing two varieties in the ratio 5 : 3. If the cost of cheaper tea
is ₹72/kg, find the cost of dearer tea.
(a) ₹96
(b) ₹100
(c) ₹108
(d) ₹112
Q93.A mixture contains milk and water in the
ratio 13 : 7. If 20 litres of water is added, milk becomes 50% of the mixture.
Find the original quantity.
(a) 80 L
(b) 100 L
(c) 120 L
(d) 140 L
Q94.A solution contains 60% acid. If 15
litres of water is added, the concentration becomes 48%. Find the original quantity
of the solution.
(a) 50 L
(b) 60 L
(c) 75 L
(d) 90 L
Q95.A vessel contains 72 litres of a mixture
of milk and water in the ratio 5 : 3. How much water must be removed to make
the ratio 3 : 2?
(a) 6 L
(b) 8 L
(c) 10 L
(d) 12 L
Q96.A mixture contains alcohol and water in
the ratio 11 : 9. How much water must be added to 100 litres of the mixture to
make alcohol 45%?
(a) 10 L
(b) 15 L
(c) 20 L
(d) 25 L
Q97.Two alloys contain copper and zinc in
the ratios 4 : 1 and 3 : 2 respectively. In what ratio should they be mixed so
that copper becomes 65%?
(a) 1 : 1
(b) 2 : 3
(c) 3 : 2
(d) 4 : 3
Q98.A mixture of sugar and salt weighs 60
kg. Sugar is 40%. How much sugar must be added to make sugar 50%?
(a) 6 kg
(b) 10 kg
(c) 12 kg
(d) 15 kg
Q99.A vessel contains 90 litres of alcohol.
30 litres is replaced by water thrice. What percentage of alcohol remains
finally?
(a) 29.6%
(b) 34.3%
(c) 36.5%
(d) 44.4%
Q100.A solution contains 25% salt. How much
water must be added to 80 litres of the solution so that salt becomes 20%?
(a) 10 L
(b) 15 L
(c) 20 L
(d) 25 L
ANSWERS
31.(b) 32.(c)
33.(c)34.(d)35.(b) 36.(b)37.(b) 38.(b)39.(a) 40.(b)41.(c) 42.(b) 43.(c)
44.(a)45.(c) 46.(b)47.(c) 48.(c)49.(c) 50.(c)51.(b) 52.(c)53.(c) 54.(b)55.(c)
56.(a)57.(c) 58.(b)59.(c) 60.(b) 61.(b) 62.(c)63.(c) 64.(b)65.(c) 66.(c)67.(b)
68.(c)69.(b) 70.(c) 71.(b)72.(a)73.(b) 74.(c)75.(c) 76.(b)77.(b) 78.(c)79.(d)
80.(c) 81.(c) 82. (d) 83.(a) 84.(c) 85.(c) 86. (c)
87. (b) 88. (b) 89. (b) 90.(c) 91.(b) 92.(c) 93.(b) 94.(c) 95.(b) 96.(c) 97.(a)
98.(c) 99.(d) 100.(c)