# Ratio and Proportion

1. An amount of Rs.6240 is divided among A, B and C in the ratio 1/2 : 1/3 : 1/4. Find the share of C?

A. Rs.1280

B. Rs.1380

C. Rs.1400

D. Rs.1440

Explanation:

Ratio 1/2 : 1/3 : 1/4 = 6 : 4 : 3
C's share = (3/13) x 6240 = 1440

2. If a : b = 2 : 5, then (5a + b) : (3a + 2b) is:

A. 15 : 19

B. 15 : 16

C. 12 : 17

D. 12 : 13

Explanation:

(5a + b) : (3a + 2b) = [(5 x 2) + 5] / [(3 x 2) + (2 x 5)] = 15 : 16

3. If A : B = 4 : 7, B : C = 3 : 4, C : D = 7 : 11, then A : D is:

A. 3 : 7

B. 3 : 11

C. 7 : 22

D. 7 : 9

Explanation:

Multiplying all, we get A : D = 3 : 11

4. The ratio of the ages of A and B is 4/3 : 5/4. By what percent is A’s age more than that of B?

A. (3) 1/3

B. 5

C. (6) 2/3

D. (7) 1/7

Explanation:

Percent more = [(4/3) - (5/4)]/(5/4) x 100 = (1/12)/(5/4) x 100 = 100/15 = (6) 2/3 %

5. The ratio of the number of boys and girls in a school is 14 : 16. If the percentage increase in the number of boys and girls be 20% and 10% respectively, the new ratio becomes:

A. 8 : 9

B. 17 : 18

C. 21 : 22

D. 19 : 20