Chapter:

30+ RATIO, PROPORATION AND PERCENTAGE Solved MCQs

in Business Mathematics

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Chapter: RATIO, PROPORATION AND PERCENTAGE

1.	In a library, the ratio of number of story books to that of non-story books was 4:3 and total number of story books was 1248. When some more story books were bought, the ratio became 5:3. Find the number of story books bought.
A.	312
B.	321
C.	936
D.	1560
Answer» A. 312

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2.	The ratio of the present age of father to that of son is 7:2. After 10 years their ages will be in the ratio of 9:4. The present ages of the father is
A.	35 years
B.	40 years
C.	30 years
D.	25 years
Answer» A. 35 years

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3.	Rs. 8400 is divided among A, B, C and D in such a way that the shares of A and B, B and C, and C and D are in the ratios of 2:3, 4:5 and 6:7 respectively. The share of A is
A.	rs. 1280
B.	rs. 8400
C.	rs. 8210
D.	rs. 1320
Answer» A. rs. 1280

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4.	Ajay and Raj together have Rs. 1050. On taking Rs. 150 from Ajay, Ajay will have same amount as what Raj had earlier. Find the ratio of amounts with Ajay and Raj initially.
A.	3:4
B.	7:1
C.	1:3
D.	4:3
Answer» D. 4:3

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5.	Price of each article of type P, Q, and R is Rs. 300, Rs. 180 and Rs. 120 respectively. Suresh buys articles of each type in the ratio 3:2:3 in Rs. 6480. How many articles of type Q did he purchase?
A.	8
B.	14
C.	20
D.	none of the above
Answer» A. 8

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6.	The ratio of market prices of wheat and paddy is 2:3 and the ratio of quantities consumed in a family is 5:4. Find the ratio of expenditure of wheat and paddy.
A.	6:5
B.	5:6
C.	1:1
D.	8:15
Answer» B. 5:6

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7.	The three numbers are in the ratio 1/2 : 2/3 : 3/4. The difference between greatest and smallest numbers is 36. Find the numbers.
A.	72, 84, 108
B.	60, 72, 96
C.	72, 84, 96
D.	72, 96, 108
Answer» A. 72, 84, 108

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8.	If a:b = 5:7 and c:d = 2a:3b, then ac : bd is
A.	20:38
B.	50:147
C.	10:21
D.	50:151
Answer» B. 50:147

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9.	If x:y = 3:4, then (7x+3y):(7x-3y) is equal to
A.	5:2
B.	4:3
C.	11:3
D.	37:19
Answer» C. 11:3

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10.	The product of two positive numbers is 4752 and their ratio is 11:12. The smaller of these numbers is
A.	72
B.	60
C.	66
D.	75
Answer» C. 66

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11.	Two numbers are in ratio 2:3. If 2 be subtracted from the first and 2 be added to the second, the ratio becomes 1:2. Find the sum of the numbers.
A.	30
B.	28
C.	24
D.	10
Answer» A. 30

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12.	How to divide 3395 in ratio of 42 : 32 : 23?
A.	1470, 1120 and 805
B.	1550, 1235 and 610
C.	1245, 1150 and 1000
D.	1764, 1022 and 529
Answer» A. 1470, 1120 and 805

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13.	a:b = 3:7 and b:c = 9:5. What is a:b:c?
A.	3:15:5
B.	21:16:45
C.	3:7:5
D.	27: 63:35
Answer» D. 27: 63:35

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14.	Income ratio of Ramesh and Suresh is 5:6. Their spending ratio is 7:9. Ramesh saves 4000 and Suresh saves 3000. Income and spending respectively of Ramesh and Suresh are
A.	ramesh - 25000, 21000; suresh – 30000, 27000
B.	ramesh - 36000, 32000; suresh – 30000, 27000
C.	ramesh - 30000, 27000; suresh – 36000, 32000
D.	none of the above
Answer» A. ramesh - 25000, 21000; suresh – 30000, 27000

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15.	10/13 = 11/28 = 21/11 = 12/11 = K. What is K?
A.	6/7
B.	12/13
C.	10/11
D.	59/63
Answer» A. 6/7

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16.	Find the mean proportional between 7 and 63?
A.	35
B.	21
C.	27
D.	30
Answer» B. 21

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17.	Find A:B:C:D when A:B = 2:3 ; B:C = 7:9 ; C:D = 5:7
A.	70 : 105 : 135 : 189
B.	105 : 115 : 236 :189
C.	70 : 124 : 155 : 201
D.	12 : 78 : 256 : 189
Answer» A. 70 : 105 : 135 : 189

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18.	What is 4th proportional in 9, 13 and 153?
A.	251
B.	181
C.	175
D.	221
Answer» D. 221

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19.	Ratio of two numbers is 3:8. On adding 5 to both numbers, the ratio becomes 2:5. Which is the smaller number out of the two?
A.	64
B.	120
C.	45
D.	105
Answer» C. 45

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20.	The 3rd proportional to 18 and 54 is?
A.	144
B.	72
C.	162
D.	972
Answer» C. 162

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21.	285 is summation of 3 numbers. Ratio between 2nd and 3rd numbers is 6:5. Ratio between 1 st and 2nd numbers is 3:7. The 3rd number is?
A.	135
B.	150
C.	124
D.	105
Answer» D. 105

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22.	It was intended that Rs. 585 be divided among P, Q and R in the ratio of 4 : 3 : 2, but by mistake the distribution was made in the proportion of 1/4 : 1/3 : 1/2. How much does 'R' gain by the error?
A.	rs. 99
B.	rs. 126
C.	rs. 140
D.	rs. 152
Answer» C. rs. 140

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23.	a : b : : 3 : 5, b : c : : 4 : 3 and c : d : : 4 : 5, a : d = ?
A.	4 :5
B.	16 : 25
C.	64 : 25
D.	64 : 125
Answer» B. 16 : 25

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24.	By giving Rs. 50 to M, A would have the amount equal to what M had earlier. If the sum of the amounts with A and M is Rs. 650. What is the ratio of the amount with A to that with M earlier?
A.	7 : 4
B.	5 : 3
C.	2 : 1
D.	7 : 6
Answer» D. 7 : 6

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25.	What will be the fraction of 20%
A.	1/4
B.	1/5
C.	1/10
D.	none of above
Answer» B. 1/5

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26.	What will be the fraction of 4%
A.	1/20
B.	1/5
C.	1/75
D.	1/25
Answer» D. 1/25

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27.	The ratio 5:20 expressed as percent equals to
A.	50 %
B.	125 %
C.	25 %
D.	none of above
Answer» C. 25 %

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28.	2.09 can be expressed in terms of percentage as
A.	2.09%
B.	20.9%
C.	209%
D.	0.209%
Answer» C. 209%

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29.	What is 15 percent of 34
A.	5.10
B.	4.10
C.	3.10
D.	2.10
Answer» A. 5.10

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30.	A’s salary is 50% more than B’s. How much percent is B’s salary less than A’s?
A.	33(1/4)%
B.	33(1/3)%
C.	33(1/2)%
D.	33%
Answer» B. 33(1/3)%

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31.	The price of cooking oil has increased by 25%. By what percent should a family reduce the consumption of cooking oil so as not to increase the expenditure in this account?
A.	20%
B.	25%
C.	18%
D.	16%
Answer» A. 20%

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32.	Ramesh’s salary was reduced by 10% and then the reduced salary was increased by 10%. What was his ultimate loss?
A.	0%
B.	10%
C.	1%
D.	5%
Answer» C. 1%

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33.	5% of 5% of Rs. 100 is
A.	rs. 0.25
B.	rs. 0.50
C.	rs. 10
D.	rs. 25
Answer» A. rs. 0.25

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30+ RATIO, PROPORATION AND PERCENTAGE Solved MCQs

In a library, the ratio of number of story books to that of non-story books was 4:3 and total number of story books was 1248. When some more story books were bought, the ratio became 5:3. Find the number of story books bought.

The ratio of the present age of father to that of son is 7:2. After 10 years their ages will be in the ratio of 9:4. The present ages of the father is

Rs. 8400 is divided among A, B, C and D in such a way that the shares of A and B, B and C, and C and D are in the ratios of 2:3, 4:5 and 6:7 respectively. The share of A is

Ajay and Raj together have Rs. 1050. On taking Rs. 150 from Ajay, Ajay will have same amount as what Raj had earlier. Find the ratio of amounts with Ajay and Raj initially.

Price of each article of type P, Q, and R is Rs. 300, Rs. 180 and Rs. 120 respectively. Suresh buys articles of each type in the ratio 3:2:3 in Rs. 6480. How many articles of type Q did he purchase?

The ratio of market prices of wheat and paddy is 2:3 and the ratio of quantities consumed in a family is 5:4. Find the ratio of expenditure of wheat and paddy.

The three numbers are in the ratio 1/2 : 2/3 : 3/4. The difference between greatest and smallest numbers is 36. Find the numbers.

If a:b = 5:7 and c:d = 2a:3b, then ac : bd is

If x:y = 3:4, then (7x+3y):(7x-3y) is equal to

The product of two positive numbers is 4752 and their ratio is 11:12. The smaller of these numbers is

Two numbers are in ratio 2:3. If 2 be subtracted from the first and 2 be added to the second, the ratio becomes 1:2. Find the sum of the numbers.

How to divide 3395 in ratio of 42 : 32 : 23?

a:b = 3:7 and b:c = 9:5. What is a:b:c?

Income ratio of Ramesh and Suresh is 5:6. Their spending ratio is 7:9. Ramesh saves 4000 and Suresh saves 3000. Income and spending respectively of Ramesh and Suresh are

10/13 = 11/28 = 21/11 = 12/11 = K. What is K?

Find the mean proportional between 7 and 63?

Find A:B:C:D when A:B = 2:3 ; B:C = 7:9 ; C:D = 5:7

What is 4th proportional in 9, 13 and 153?

Ratio of two numbers is 3:8. On adding 5 to both numbers, the ratio becomes 2:5. Which is the smaller number out of the two?

The 3rd proportional to 18 and 54 is?

285 is summation of 3 numbers. Ratio between 2nd and 3rd numbers is 6:5. Ratio between 1 st and 2nd numbers is 3:7. The 3rd number is?

It was intended that Rs. 585 be divided among P, Q and R in the ratio of 4 : 3 : 2, but by mistake the distribution was made in the proportion of 1/4 : 1/3 : 1/2. How much does 'R' gain by the error?

a : b : : 3 : 5, b : c : : 4 : 3 and c : d : : 4 : 5, a : d = ?

By giving Rs. 50 to M, A would have the amount equal to what M had earlier. If the sum of the amounts with A and M is Rs. 650. What is the ratio of the amount with A to that with M earlier?

What will be the fraction of 20%

What will be the fraction of 4%

The ratio 5:20 expressed as percent equals to

2.09 can be expressed in terms of percentage as

What is 15 percent of 34

A’s salary is 50% more than B’s. How much percent is B’s salary less than A’s?

The price of cooking oil has increased by 25%. By what percent should a family reduce the consumption of cooking oil so as not to increase the expenditure in this account?

Ramesh’s salary was reduced by 10% and then the reduced salary was increased by 10%. What was his ultimate loss?

5% of 5% of Rs. 100 is

In a library, the ratio of number of story books to that of non-story books was 4:3 and total
number of story books was 1248. When some more story books were bought, the ratio became
5:3. Find the number of story books bought.

Price of each article of type P, Q, and R is Rs. 300, Rs. 180 and Rs. 120 respectively. Suresh
buys articles of each type in the ratio 3:2:3 in Rs. 6480. How many articles of type Q did he
purchase?

285 is summation of 3 numbers. Ratio between 2nd and 3rd numbers is 6:5. Ratio between
1
st and 2nd numbers is 3:7. The 3rd number is?

It was intended that Rs. 585 be divided among P, Q and R in the ratio of 4 : 3 : 2, but by
mistake the distribution was made in the proportion of 1/4 : 1/3 : 1/2. How much does 'R' gain by
the error?

By giving Rs. 50 to M, A would have the amount equal to what M had earlier. If the sum of
the amounts with A and M is Rs. 650. What is the ratio of the amount with A to that with M
earlier?