A sum of Rs 15525 is divided among Sunil Anil and Jamil such that if Rs 22 Rs 35 and Rs 48 be dimini...........

Quantitative Aptitude (CGL) Ratio, Proportion

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?

9:13:17

18:26:35

36:52:67

None of these

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Explanation:

Let they divide the Amount in the ratio of x, y, and z.
Now,
According to question,
We know that when Rs. 22, Rs. 12 and Rs. 48 is diminshed the ratio become 7 : 10 : 13
x - 22 = 7a => x = 7a + 22
y - 35 = 10a => y = 10 + 35
z - 48 = 13a => z = 13a + 48
∴ 7a + 22 + 10a + 35 + 13a + 48 = 15525
30a = 15525 - 105
a=15420/30
a = 514
Hence,
x=7a+22=7×514+22=3620
y=10a+35=7×514+35=5175
z=13a+48=13+114+48=6730
Now, after adding Rs. 16, Rs. 77, and Rs. 37 in x, y and z respectively.
The ratio is
3620 + 16 : 5175 + 77 : 6730 + 37
3636 : 5252 : 6767
36×101:52×101:67×101
Required ratio = 36 : 52 : 67