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Select the correct answerA sum of Rs. 3115 is divided among A, B and C such that if Rs. 25, Rs. 28 and Rs. 52 be diminished from their shares respectively, the remainder shall be in the ratio of 8 : 15 : 20. Find the share of each?OptionsRs.685, Rs.1178, Rs.1252Rs.585, Rs.1078, Rs.1452Rs.485, Rs.1088, Rs.1352Rs.785, Rs.1378, Rs.1652

Question

Select the correct answerA sum of Rs. 3115 is divided among A, B and C such that if Rs. 25, Rs. 28 and Rs. 52 be diminished from their shares respectively, the remainder shall be in the ratio of 8 : 15 : 20. Find the share of each?OptionsRs.685, Rs.1178, Rs.1252Rs.585, Rs.1078, Rs.1452Rs.485, Rs.1088, Rs.1352Rs.785, Rs.1378, Rs.1652

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Solution

The problem can be solved by following these steps:

  1. The problem states that if Rs. 25, Rs. 28 and Rs. 52 are diminished from the shares of A, B and C respectively, the remainder will be in the ratio of 8:15:20. This means that the original shares of A, B and C are in the ratio of 8x+25 : 15x+28 : 20x+52.

  2. The sum of these shares is given as Rs. 3115. So, we can set up the equation: (8x+25) + (15x+28) + (20x+52) = 3115.

  3. Simplifying this equation gives: 43x + 105 = 3115.

  4. Subtract 105 from both sides to get: 43x = 3010.

  5. Divide both sides by 43 to find the value of x: x = 70.

  6. Substitute x = 70 back into the ratios to find the original shares: A's share = 8x+25 = 870+25 = Rs. 585, B's share = 15x+28 = 1570+28 = Rs. 1078, and C's share = 20x+52 = 20*70+52 = Rs. 1452.

So, the correct answer is Rs.585, Rs.1078, Rs.1452.

This problem has been solved

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