A and B started a business with capitals of Rs 60,000 and Rs 40,000 respectively. They agreed that 50% of the total profit would be divided equally and the remaining profit in the ratio of their capitals. If one partner gets Rs 450 more than the other, find the total profit.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → Rs 4,500
The equal part gives both the same amount, so the whole difference comes from the 50% shared in the ratio 3 : 2.
Capitals ratio \(=3:2\)
Difference \(=50\%\) of profit \(\times\frac{3-2}{5}\), that is \(\frac{1}{10}\) of the profit
Profit \(=450\div\frac{1}{10}=4500\)
The total profit is Rs 4,500.
Why the other options are incorrect
Option (1) Rs 9,000 — Incorrect. With a profit of Rs 9,000 the shares differ by Rs 900, not Rs 450.
Option (3) Rs 2,250 — Incorrect. With a profit of Rs 2,250 the shares differ by Rs 225, not Rs 450.
Option (4) Rs 3,600 — Incorrect. With a profit of Rs 3,600 the shares differ by Rs 360, not Rs 450.