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A sum of Rs. 15525 is divided among Sunil, Anil and Jamil such that if Rs. 22, Rs. 35 and Rs. 48 be diminished from their shares respectively, their remaining sums shall be in the ratio 7 : 10 : 13. What would have been the ratio of their sums if Rs. 16, Rs. 77 and Rs. 37 respectively were added to their original shares?
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- 9 :13 : 17
- 18 : 26 : 35
- 36 : 52 : 67
- None of these
Correct Option: C
According to the question,
Amount to be distributed in the ratio 7 : 10 : 13
= Rs. (15525 – 22 – 35 – 45)
= Rs. 15420
Sum of the terms of ratio
= 7 + 10 + 13 = 30
Sunil’s share = Rs. | × 15420 | = Rs. 3598 | |||
30 |
Anil’s share = Rs. | × 15420 | = Rs. 5140 | |||
30 |
Jamil’s share = Rs. | × 15420 | = Rs. 6682 | |||
30 |
Ratio after respective increase in each share
= (3598 + 22 + 16) : (5140 + 35 + 77) : (6682 + 48 + 37)
= 3636 : 5252 : 6767
= 36 : 52 : 67