Explanation

Here,
The given ratio is 8\;:\;7
Let, A got ₹\;8x.
And, B got ₹\;7x.
According to the question,
₹\;(8x+7x)\;=\;₹\;225
\rightarrow ₹\;15x=₹\;225
\rightarrow x\;=₹\large\frac{225}{15} _{[cross multiply]}
\rightarrow x=₹\;15
So that, A got ₹\;8x or ₹\left(8\times15\right)=₹\;120.
And, B got ₹\;7x or ₹\left(7\times15\right)=₹\;105.
Ans: A got ₹\;120 and B got ₹\;105.

There are more ways to write this math equation:

1. Split ₹ 225 into two parts for A and B, maintaining the ratio of 8 : 7.
2. Divide ₹ 225 between A and B in the ratio of 8 : 7.
3. Distribute ₹ 225 among A and B such that the ratio of their shares is 8 : 7.