प्रतिशत
प्रतिशत
Percentage
(A) 56% (B) 33%
Exercise -1 (C) 48% (D) 40%
6. Price of rice is increased by 30%, and
1. A is 20% less then B, then by what consumption is decreased by 20%,
percent B is more than A? then find out the effect on its
A, B 20% B, A expenditute?
30%
(A) 25% (B) 30% 20%
(C) 20% (D) 50%
2. If income of A is 30% more than that
(A) 4% increase (B) 5% increase
of B. Then by what percent income of
(C) 10% decrease (D) 20% decrease
B less than A?
7. The price of the ticket in a picture
A B 30% hall increased by 30%. If no. of visitors
B A is increased by 10% then find out the
effect on income?
1 30%
(A) 30% (B) 13 % 10%
3
1 2
(C) 23 % (D) 26 % (A) 43% increase (B) 48% increase
13 3
3. 50% of a% of b is equal to 75% of b% (C) 50% decrease (D) 43% decrease
of c. Which of the following is c ? 8. If the side of a square is increased by
25%. Then find out the effect on its
b a% 50% c b% 75%
area?
c
25%
(A) 1.5a (B) 0.667a
(C) 0.5a (D) 1.25a
4. Two numbers are 60% and 20% more (A) 55.33% increase
than a third number respectively. (B) 56.25% increase
Then find out second number is what (C) 55% increase
percent of the first number? (D) 50% increase
9. Price of rice is increased by 20%, by
60% 20%
what percent its consumption be
decreased so that the overall
expenditure remains same?
(A) 50% (B) 70% 20%
(C) 65% (D) 75%
5. The price of vegetable increase by 30%
and its consumption also increased
by 20%, then find out the increase in 2
(A) 16 % (B) 20%
its expenditure? 3
30% 1 2
20% (C) 8 % (D) 15 %
4 3
10. If the length of cuboid is increased by and that of females by 10% then the
50% and breadth is decreased by 20% population would incrase to 16300. Find
and its height is decreased by 20% the number of females in the town.
then find out the effect on its volume?
50% 8% 10%
20%
20%
(A) 3000 (B) 5000
(A) 4% decrease (C) 4000 (D) 6000
(B) 50% decrease 15. A man spends 60% of his income. If
(C) 8% increase his income increases by 15% and
(D) 10% increase expenditure also increases by 5%.
11. Population of a town is 8000. First Then find out the percentage
year it is increased by 40% and second increment in his savings?
year it is increased by 20%. Then 60%
find out the population after 2 years? 15%
8000 40%
5%
20%
(A) 35% (B) 30%
(A) 10000 (B) 13440 (C) 50% (D) 40%
(C) 9200 (D) 10560 16. A man spends 70% of his income. If
12. Population of a city is 10,000. First his income is increased by 24% and
year it increased by 10% then second his expenditures also increased by
year it decreased by 20% and third 15%. Then find out the effect on his
year it increased by 30%. Then find savings?
out the population after 3 years? 70%
10000
24%
10% 20%
15%
30%
(A) 45% (B) 40%
(A) 11440 (B) 12000 (C) 50% (D) 48%
(C) 11500 (D) 12800 17. A man spends 20% on food, 15% on
13. Population of town is increased by rent, 20% on medicines, 5% on
10% in first and in second year it education, 10% on import and 10%
increased by 20%. Population is 26400 on others. If he saves `6000. There
after 2 years. Then find out the find out his income?
population before 2 years? 20% 15%
10%
20% 5% 10%
20%
10%
26400
6000
65%
(A) 25% (B) 15%
2748 (C) 20% (D) 30%
32. In an exam 52% failed in English and
42% in Maths. If 17% failed in both
(A) 8580 (B) 8720 subjects. Then find out the percentage
(C) 9000 (D) 9160 who passed in both subjects.
29. In an election between two candidates 52%
75% of the candidates cast their votes 42% 17%
out of which 2% are invalid. A candi-
dates got 9261 votes which was 75% of
valid votes. Find the total number of
(A) 23 (B) 21
votes.
(C) 25 (D) 22
75%
33. Out of some members 42% like 36. There is 40% salt in a mixture of
Cricket, 47% like Football, 15% like water and salt of 5 liters. If 3 liters
both and 7800 neither like Cricket water added to the mixture, then find
nor Football. Then find out the total out the percentage of salt in the
members? mixture?
42% 5 40%
47% 3
15% 7800
(A) 20% (B) 25%
(C) 22% (D) 30%
37. There is 90% copper in a mixture of
Copper and Zinc of 80 kg. Some
(A) 30000 (B) 35000
quantity of Zinc is added to the
(C) 25000 (D) 20000
mixture and now percentage of Copper
34. In a family ratio between rice, fish
is 60%. Then find out how much Zinc
and edible oil expenditure is 12:17:3.
added in the mixture?
If 20%, 30% & 50% increament is
80 90%
done on these articles. What will be
total increament in the expenditure
of family ? 60%
2. A number is divided in two parts in (A) 32% increased (B) 38% increased
such a way that 80% of the first part (C) 40% increased (D) 5% decreased
is 3 more than the 60% the second 6. If the length of the Cuboid is
part and 80% of the second part is 6 decreased by 50% breadth is
more than 90% of the first part. Then increased by 20% and its height is
find out the number? decreased by 20%, then out the its
volume gets -
80% 60% 50%
3 80% 20% 20%
90% 6
(A) 10% Profit (B) 10% Loss (A) 42% (B) 62%
(C) No loss no profit (C) 82% (D) None of these
(D) None of these 68. Three solid Balls, whose radiaus are
63. In an exam A & B secured 60% and 1 cm, 2 cm and 3 cm are respectively
30% marks respectively there total by meltin,g we form a new ball. In
marks are 783. Then find out the this process 25% material goes waste.
total marks in the exam? Then find out the radiaus of new ball?
A B 1 2 3
60% 30%
783 25%
104. Fresh grapes contain 90% water by 108. A recduction of 20% in the price of
weight while dried grapes contain 20% sugar enables a person to by 3 kg more
water by weight. What is the weight for L300. Find the reduced price per
of dry grapes available from 20 kg of kg of sugar.
fresh grapes?
90%
20%
(A) L25 (B) L20
(A) 2 kg (B) 5 kg (C) L30 (D) L15
(C) 2.5 kg (D) 10 kg 109. Out of 2500 people, only 60% have the
105. Sea water contains 5% salt by weight. saving habit. If 30% save with bank,
How many kg of fresh water must be 32%. with post office and the rest with
added to 60 kg of sea water for the shares, the number of shareholders
content of salt in solution to be made are
3%.
5%
3%
(A) 450 (B) 570
(A) 30 (B) 35 (C) 950 (C) 1250
(C) 40 (D) 45 110. There is a rebate of 15% if electric bills
106. The total population of a village is 5000. are paid in time. A man got a rebote of
The number of males and females L54 by paying the bill in time. His
increases by 10% and 15% respectively electric bill was:
and consequently the population of the
village becomes 5600. What was the 15%
number of males in the village?
1
7
2
90 100
100% = ×100 = 1800 = =5 Ans.
5 45
20 66 5
x x 29. 350× + x = 1256×
100 2 100 8
21. 50 = 231 + x = 785 x = 554
y y 5
100
3 75 25
30. 4240× × × = 53×9 = 437
120x 5 100 100
100 2 4x 2 x 1 30
150y 5 5y = y = Ans. 80
5 2 100
100 31. = 24 x = 1
x
x x
22. = y 32. = y
160 125
x x
100 2 x 3 100 5 x 8
60 = y = 200 = y =
y 5 20 y 9 9
100 100
23. =x 33. I II III
= 20×x 130 140 100
= 30×x (I) 130 6
30x 20x (II) ×100 = 140 ×100 = 92 7 %
% = ×100 = 50%
20x
1 1 1
24. = 40x 34. %= × = 0.005
2 2 100
= 50x
60 1
50x 40x 35. = ×100 = 37 %
= ×100 = 25% 160 2
40x 36. = 5x : 4x
40 ( 20) 40
25. = 40 + (–20) + 5x × = 12
100 100
= 12% x=6
26. =x 50
= 4x = 24× = 12
90 100 100
x× = 30 x =
100 3 7
37. = 400× = 28
100 100
R% 40
3 9
= 6400× = 576
100 120 100
×R% = 40 R =
3 100 604 151 15
= 20% (I+II) = ×100 = =8 %
6800 17 17
R 25 1 38. x
27. = ×100 = ×100 = 33 %
100 R 75 3 40
x× + 24 = x
25 100
28. x× = 182 x = 728
100 2x + 120 = 5x x = 40
15 20 1
= 20 + 15 – = 2% 50. 20% 5 6
100 5
40 1
41. A = B× 20% 5 4
100 5
25 24
25
B = C× 1
100 = ×100 = 4% Ans.
25
25 40
A = C× × =C 10% 2nd Method
100 100
42. I II III 20 20
= 20–20– = 4%
70 63 100 100
1
70 63 51. 20%
= ×100 = 10% 5
70
4 800
43. 0.003 = 0.3%
1 200
100x 5 1000 Ans.
44. = ×25% = = 4x
25 2nd method
= × 40% = 2.5x x 20%
80
x 4x 2.5x x× = 800 x = 1000
100
4x 10 1
×100 = 160 52. = ×100 = 11 %
2.5x 100 10 9
10 1 2nd method
45. y, x = ×100 = 9 %
110 11
60 3 100 10%
90
46. A× = B×
100 4 10 1
= ×100 = 11 %
3 3 A 5 90 9
A× = B× = 3rd method
5 4 B 4
47. =x 10 1
= ×100 = 11 %
110 120 90 9
= x× × = 33 53. Old% × old value = new% × new value
100 100
40 × 50 = x×25
132 x = 3300 x = 25
x = 80
20 20
48. 20+20 + = 44% = 80–50 = 30
100
54. 50×9 = x×30
x = 15
= 15–9 = 6
55. 300 × 60 = x × 50 60 30
x = 360 x× +x× = 783
100 100
= 360–300 = 60 9x = 7830
56. = 40% = (178+22) x = 870
200 120 125
100% = ×100 = 500 64. = 8500× × =12750
40 100 100
AaBbCc 65. = a2
57. = ×100
ABC 1
10% 10 11
10 20 10 10
40 50 60
= 100 100 100 ×100 1
40 50 60 10% 10 11
10
20 1 100 121
= ×100 = 13 %
150 3 21
% = ×100 = 21%
10 15 20 100
58. A× = B× = C×
100 100 100 10 10
A:B:C=6:4:3 66. = 10–10– = 1%
100
4 67.
B = ×78000 = 24000
13 40 30
59. = 40+30+ 82%
100
12 : 17 :3 = 32 68. =
20% 30% 50% × 75%
2.4 5.1 1.5 =9 4 4 75
9 1 R3 = ( r13 + r23 + r33 ) ×
3 3 100
%= ×100 = 28 %
32 8
3
5 R3 = (13 + 23 + 33)×
4
60. dis. = 1,00,00,000× = Rs. 500000
100 R3 = 27 R = 3
61. 4% = 720 69. = 100%
720 = 71%, = 29%
100% = ×100 = 18000
4 = 71–29 = 42% = 756
756
= 20% = 100% = ×100 = 1800
42
120% = 100%
90 110
18000 70. =x× × = x–50
100 100
= ×120 = 15000
120
99x
40 50 –x = –50 x = 5000
100
62. = –40 + 50 – 10%
100 71. = 100–(70+65–73)
= 173 – 135 = 38%
63. =x
1200 200
= 100 / 3 × = 2400 44 5
3 = ×100 = 30 %
144 9
80. x
–10%
y
10%
125 10 15 20
88. A× =B× =C×
100 100 100
110 90
x = 125× × x = 123.75 A : B : C
100 100
12 : 8 : 6
81. =x
7800
100 100 B’s income = ×8 = Rs. 2400
x = 3600× × 36
80 30
90 110 95.
89. x× × = x – 50
100 100
100%
99x = 100x – 5000 x = 5000
Ans. (68–
90.
100% 20%
120% W C
75% 10% 82.5% 52 48
(100%-68) (100%-68)
100 100
25% 37.5%
12.5 52 48
% = ×100 = 50% (100%–68) –(100%–68) = 98
25 100 100
91. 5 4
(100%–68) = 98
100
100% – 68 = 2450
100% = 2518 Ans.
20% 80%
4 96.
1
1 = 40% 100%
10%
40
1× = 0.4 = 0.6 90%
100
=5 10%
81%
0.6
%= ×100 = 12%
5
W C
20 40 54 46
92. = × = 40 81× – 81× = 1620
100 20 100 100
16 6
93. = 16–6– = 9.04% = 5424
100 8
81× = 1620
5424 100
= ×100 = 60000
9.04 1620 100 100
100% = = 25000 Ans.
81 8
94.
x y 97. = 450
= 325
= 175
z
= 50
= 450–50 = 400
z-y x-z
= 325 + 175 – 400
=z–y+x–z=x–y
xz zx
% = xy = yx %
1040
1kg Rs. 48
= ×100 = 8000
13
103. = 100%
48 54
= = Rs. 16 = ×100 = 360
3 15
108. 111. = 40%
1 = 10
20% 5 : 4
5 10
4 : 5 = ×100 = 25
40
1 : 1
diff. = 5–4 = 1 3kg
1 3 kg Rs. 300 60 40
1kg Rs. 100 112.
70% 30% 40% 60%
100
= = Rs. 20 Ans.
5 70 40
= 60 × + 40×
109. = 2500 100 100
= 60% = 42 + 16 = 58 Ans.
60 113. = 80
= 2500× = 1500 60 75%
100
30 75
30% = 1500 × = 450 = 60 × = 45
100 100
32 80%
32% = 1500 × = 480
100 80
= 80× = 64
= 1500 – (450 + 480) 100
1500 – 930 = 570 Ans. = 64 – 45 = 19
110. = 15% x
15% 54 = 20× = 19
100
x = 85% Ans.
A B C
346.5 315 300
114.
10% 5%