Question

A sum of Rs. 31866 is divided between A, B and C such that the ratio of shares of A and B is 9 : 8 and that of A and C is 4 : 5, The share (in Rs.) of B is:
1. 10152
2. 12690
3. 8460
4. 9024

Answer 1

Correct Answer - Option 4 : 9024

Given:

The total sum of money = Rs. 31866

Ratio of A and B = 9 : 8

Ratio of A and C = 4 : 5

Calculation:

Let the total sum be x

Simplifying the ratios to get the same unit by cross multiplication

Ratio of A and B = (9 : 8) × 4

⇒ 36 : 32

Ratio of A and C = (4 : 5) × 9

⇒ 36 : 45

Ratio of A, B and C = 36 : 32 : 45

Total sum = Rs. (36x + 32x + 45x)

⇒ 113x = 31866

⇒ x = 282

The share of B = 32x = (32 × 282)

⇒ 9024

∴ The share of B is 9024