Multiple choice

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. 9024

  2. 10254

  3. 8546

  4. 9224
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A Correct answer
Explanation

To find B's share, first determine the combined ratio A:B:C. Given A:B = 9:8 and A:C = 4:5, make A's part equal by converting to A:B = 36:32 and A:C = 36:45. This gives A:B:C = 36:32:45, where the total is 113 parts. B's share is (32/113) × 31866 = 9024.

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