Business Mathematics solved MCQs

chapters
1 of 7
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

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

a. 35 years

B. 40 years

c. 30 years

d. 25 years

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

4. Ajay and Raj together have Rs. 1050. On taking Rs. 150 from Ajay, Ajay will have sameamount 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

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

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

a. 6:5

B. 5:6

c. 1:1

d. 8:15

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

a. 72, 84, 108

B. 60, 72, 96

c. 72, 84, 96

d. 72, 96, 108

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

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

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

a. 72

B. 60

c. 66

d. 75

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

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

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

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

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

16. Find the mean proportional between 7 and 63?

a. 35

B. 21

c. 27

d. 30

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

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

a. 251

B. 181

c. 175

d. 221

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

a. 64

B. 120

c. 45

d. 105

20. The 3rd proportional to 18 and 54 is?

a. 144

B. 72

c. 162

d. 972

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

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

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

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

25. What will be the fraction of 20%

a. 1/4

B. 1/5

c. 1/10

d. none of above

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