Business Mathematics Solved MCQs

Chapters

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
discuss
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
discuss
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
discuss
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
discuss
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
discuss
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
discuss
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
discuss
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
discuss
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
discuss
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
discuss
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
discuss
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
discuss
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
discuss
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
discuss
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
discuss
16.

Find the mean proportional between 7 and 63?

A.35
B.21
C.27
D.30
Answer» B. 21
discuss
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
discuss
18.

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

A.251
B.181
C.175
D.221
Answer» D. 221
discuss
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
discuss
20.

The 3rd proportional to 18 and 54 is?

A.144
B.72
C.162
D.972
Answer» C. 162
discuss
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
discuss
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
discuss
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
discuss
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
discuss
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
discuss
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