Multiple choice

A sum of Rs. 407 is to be divided among A, B and C so that their shares are in the ratio 1/4:1/5:1/6. Find their respective shares.

  1. Rs. 165, Rs. 132, Rs. 110

  2. Rs. 165, Rs. 110, Rs. 132

  3. Rs. 132, Rs. 110, Rs. 165

  4. Rs. 110, Rs. 132, Rs. 165

  5. Rs. 110, Rs. 165, Rs. 132
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A Correct answer
Explanation

Ratio 1/4 : 1/5 : 1/6 = 15 : 12 : 10. Total parts = 37. One part = 407 / 37 = 11. Shares = 15*11, 12*11, 10*11 = 165, 132, 110.

AI explanation

The given ratio of their shares is 1/4 : 1/5 : 1/6. To convert this to whole numbers, multiply by the least common multiple of 4, 5, and 6, which is 60, giving the simplified ratio 15 : 12 : 10. The sum of the ratio values is 15 + 12 + 10 = 37 parts. The share of A is (15 / 37) * 407 = Rs. 165, the share of B is (12 / 37) * 407 = Rs. 132, and the share of C is (10 / 37) * 407 = Rs. 110.

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