Multiple choice

A sum of Rs. 432 is divided among Ramesh, Rajesh and Suresh, such that Ramesh gets Rs. 144 more than Rajesh and Rajesh gets Rs. 72 more than Suresh. Find the ratio of the shares of Ramesh, Rajesh and Suresh, respectively.

  1. 10 : 9 : 2

  2. 2 : 5 : 11

  3. 11 : 5 : 2

  4. 2 : 5 : 13

  5. None of these
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C Correct answer
Explanation

Let Suresh's share be x. Rajesh = x + 72. Ramesh = (x + 72) + 144 = x + 216. Total = x + x + 72 + x + 216 = 3x + 288 = 432. 3x = 144, so x = 48. Suresh = 48, Rajesh = 120, Ramesh = 264. Ratio 264 : 120 : 48 simplifies to 11 : 5 : 2.

AI explanation

Let Suresh's share be x, making Rajesh's share x + 72 and Ramesh's share (x + 72) + 144 = x + 216. Their total sum is x + (x + 72) + (x + 216) = 432, which simplifies to 3x + 288 = 432, meaning 3x = 144 and x = 48. The respective shares are Rs. 264, Rs. 120 and Rs. 48. Dividing these by 24 gives the ratio 11:5:2.

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