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.485, Rs.1088, Rs.1352Rs.785, Rs.1378, Rs.1652Rs.585, Rs.1078, Rs.1452Rs.685, Rs.1178, Rs.1252

The problem can be solved by following these steps:

1. First, we need to understand that the shares of A, B, and C after diminishing Rs. 25, Rs. 28, and Rs. 52 respectively are in the ratio of 8:15:20.

2. The total ratio is 8 + 15 + 20 = 43.

3. Now, we need to find the total amount after diminishing Rs. 25, Rs. 28, and Rs. 52 from the shares of A, B, and C respectively. This is Rs. 3115 - Rs. 25 - Rs. 28 - Rs. 52 = Rs. 3010.

4. Now, we can find the shares of A, B, and C after diminishing by dividing Rs. 3010 in the ratio of 8:15:20.

   For A, it's (8/43) * 3010 = Rs. 560 For B, it's (15/43) * 3010 = Rs. 1050 For C, it's (20/43) * 3010 = Rs. 1400

5. Finally, we add back the diminished amounts to find the original shares.

   For A, it's Rs. 560 + Rs. 25 = Rs. 585 For B, it's Rs. 1050 + Rs. 28 = Rs. 1078 For C, it's Rs. 1400 + Rs. 52 = Rs. 1452

So, the correct answer is Rs. 585 for A, Rs. 1078 for B, and Rs. 1452 for C. Therefore, the correct option is Rs.585, Rs.1078, Rs.1452.