Asum of Rs 31866 is divided between A B and C such that the ratio of shares of A and B is 9 8 and th...........

Quantitative Aptitude (CGL) Ratio, Proportion

Asum 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:

This questions was previously asked in

SSC CGL 17th August 2021 Shift-1

9024

12690

10152

8460

- To solve the problem, we need to understand the ratios.

- The ratio of shares between A and B is given as 9:8.

- The ratio of shares between A and C is given as 4:5.

- To find a combined ratio for all three, you can equate the ratios by expressing A's share in terms that work for both ratios.

- Suppose A's share is 36 units (least common multiple of 9 and 4).

- B's share becomes (36/9)*8 = 32 units.

- C's share becomes (36/4)*5 = 45 units.

- Therefore, the overall ratio of A, B, and C is 36:32:45.

- Total units = 36 + 32 + 45 = 113 units.

- Total amount = Rs 31866, so each unit is worth Rs 31866/113 = Rs 282.

- B's share in units = 32 units.

- So, B's share in Rs = 32 * 282 = 9024 .

- Option 1: 9024 is the correct answer.

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