Multiple choice

Divide Rs. 9800 among A, B and C in such a way that the ratio of the shares of A and B is 2 : 3 and that of the shares of B and C is 4 : 5. Find the respective shares of A, B and C.

  1. Rs. 2240, Rs. 3360 and Rs. 4200

  2. Rs. 800, Rs. 4200 and Rs. 4800

  3. Rs. 2400, Rs. 3800 and Rs. 3600

  4. Rs. 2000, Rs. 2400 and Rs. 5400
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A:B = 2:3 = 8:12. B:C = 4:5 = 12:15. Ratio A:B:C = 8:12:15. Total parts = 8+12+15 = 35. One part = 9800 / 35 = 280. A = 8 * 280 = 2240. B = 12 * 280 = 3360. C = 15 * 280 = 4200.

AI explanation

To make the ratio uniform, combine A:B and B:C into a single 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, giving a total of 35 parts. A's share is (8/35)*9800 = Rs. 2240, B's share is (12/35)*9800 = Rs. 3360, and C's share is (15/35)*9800 = Rs. 4200.

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