Capital investments of two partners, A and B, are different. A gets 20% of the profit as bonus, and the rest of the profit is distributed in the proportion of their investment. If the entire profit were divided in proportion to their capital investment, B would have got Rs. 25,000 more than he gets now. What amount does B get now?

Correct option is D

Given:

A gets 20% of the total profit as bonus.
Remaining 80% is distributed between A and B as per their investment ratio.
If the entire profit was divided in the ratio of investments, B would have got Rs. 25,000 more.
We are to find B's actual current share.

Solution:
Let total profit = Rs. x
Let capital ratio of A and B = a : b
Then,
​$$\begin{aligned}&\text{B's ideal share if full profit is divided in capital ratio:} \\&\quad \frac{b}{a + b} \times x \\[5pt]&\text{B's current share (after A takes 20\% as bonus):} \\&\quad \frac{b}{a + b} \times 0.8x \\[5pt]&\text{Difference between ideal and current share:} \\&\quad \left(\frac{b}{a + b} \times x\right) - \left(\frac{b}{a + b} \times 0.8x\right) = 25{,}000 \\[5pt]&\quad \frac{b}{a + b} \times x \times (1 - 0.8) = 25{,}000 \\[5pt]&\quad \frac{b}{a + b} \times x \times 0.2 = 25{,}000 \\[5pt]&\Rightarrow \frac{b}{a + b} \times x = 1{,}25{,}000 \quad \text{(B's ideal share)} \\[5pt]&\text{B's current share:} \quad 0.8 \times 1{,}25{,}000 = 1{,}00{,}000\end{aligned}$$​​


Final Answer: (d) 1.00 lakh