A sum on $₹15525$ is divided among Sunil, Anil and Jamil such that if $₹22$, Rs 35 and $\text{ ₹ }48$ 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 $₹16$, Rs 77 and $₹37$ respectively were added to their original shares?

Given,

Overall sum $=15525$

The sum which is distributed 

$$\begin{gathered} =15525-22-35-48 \\ =15420 \end{gathered}$$

We have, the remained shares of Sunil, Anil and Jamil are in the ratio of $=7:10:13$

Sum of them,

$\Rightarrow 7+10+13=30$ unit

Now this will equal to 15420. So,

$\begin{array}{l}\Rightarrow 30\text{ unit }=15420\\ \Rightarrow 1\text{ unit }=514\end{array}$

Sunil's share $=7\times 514+22+16=3636$

Anil's share $=10\times 514+35+77=5252$

Jamil's share $=13\times 514+48+37=6767$

So, the ratio of share of Sunil, Anil and Jamil become

$=3636:5252:6767$

$=36:52:67$