Multiple choice

Rs. 1087 was divided among A, B and C such that if Rs. 10, 13 and 14 be diminished from their shares respectively the remainders will be in the ratio of 3 : 5 : 7. What is the share of A?

  1. Rs. 220

  2. Rs. 210

  3. Rs. 310

  4. Rs. 320
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A Correct answer
Explanation

Total = 1087. After diminishing: 1087 - (10+13+14) = 1087 - 37 = 1050. Ratio 3:5:7 sum = 15. One part = 1050 / 15 = 70. A's share = 3 * 70 + 10 = 210 + 10 = 220.

AI explanation

Subtract the total deduction of Rs. 37 from Rs. 1087 to get a remaining amount of Rs. 1050. This remainder is distributed in the ratio 3 : 5 : 7, so A's remaining share is 3/15 of 1050, which equals Rs. 210. Adding back the Rs. 10 that was diminished from A's share gives A's original share of Rs. 220.

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