Multiple choice

A sum of Rs. 11,236 is divided among A, B and C such that the ratio of the shares of A and B is (3 ∶ 5) and the ratio of the shares of A and C is (4 ∶ 7). The share of B is: (in Rs.)

  1. 4452

  2. 3392

  3. 4240

  4. 2544
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

From A:B = 3:5, let A = 3k and B = 5k. From A:C = 4:7, C = (7/4)A = (7/4) × 3k = 21k/4. Total: 3k + 5k + 21k/4 = 8k + 5.25k = 13.25k = 53k/4 = 11236. So k = 11236 × 4/53 = 424. B's share = 5k = 5 × 424 = 2120. Wait - let me recalculate: 3k + 5k + 21k/4 = (8k × 4 + 21k)/4 = 53k/4 = 11236, so k = 11236 × 4/53 = 848. B = 5k = 4240.

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