Multiple choice

A sum of Rs. 7000 is divided among A, B and C in such a way that the shares of A and B are in the ratio 2 : 3 and those of B and C are in the ratio 4 : 5. The share of B is

  1. Rs. 2400

  2. Rs. 3000

  3. Rs. 1600

  4. Rs. 2000
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A:B = 2:3, B:C = 4:5. To combine, multiply A:B by 4 and B:C by 3: A:B:C = 8:12:15. Total parts = 8+12+15 = 35. B's share = (12/35) * 7000 = 12 * 200 = 2400.

AI explanation

Combine A:B and B:C into a single continuous ratio. For A:B = 2:3 and B:C = 4:5, multiply the first ratio by 4 to get A:B = 8:12, and multiply the second ratio by 3 to get B:C = 12:15. The combined ratio of A:B:C is 8:12:15, making the total 35 parts. B's share is (12/35)*7000, which equals Rs. 2400.

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