A, B and C enter into a partnership in a business. A gets \(\frac{3}{5}\) of the profit, and B and C divide the remaining profit equally. If C gets Rs 400 less than A, then the total profit is:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → Rs 1,000
The remaining \(\frac{2}{5}\) of the profit is split equally between B and C, so each gets \(\frac{1}{5}\). The gap between A and C is then a fixed fraction of the profit.
C’s share \(\displaystyle =\frac{1}{2}\times\frac{2}{5}=\frac{1}{5}\) of the profit
A − C \(\displaystyle =\frac{3}{5}-\frac{1}{5}=\frac{2}{5}\) of the profit
\(\frac{2}{5}\) of the profit \(=400\), so the profit \(\displaystyle =400\times\frac{5}{2}=\) Rs 1,000
The total profit is Rs 1,000.