Multiple choice

A sum of Rs. 12000 is divided between A, B, C, and D such that the ratio of shares of A and B is (8 : 9), that of B and C is (2 : 3) and that of C and D is (9 : 13). What is the difference between the shares of B and D?

  1. 2760

  2. 2520

  3. 2400

  4. 1320
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B Correct answer
Explanation

Chain the ratios: A:B = 8:9, B:C = 2:3, C:D = 9:13. Convert to common terms: A:B = 8:9 = 16:18, B:C = 2:3 = 18:27, C:D = 9:13 = 27:39. So A:B:C:D = 16:18:27:39. Total parts = 16+18+27+39 = 100. Each part = 12000/100 = 120. D - B = 39×120 - 18×120 = 21×120 = 2520.

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