Gopal started a business with a capital of Rs 40,000. After 4 months, Rehana joined as a partner with Rs 72,000. At the end of the year they earned a total profit of Rs 27,500. What is Gopal’s share in the profit?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → Rs 12,500
Profit is shared in the ratio of capital × months. Rehana joined after 4 months, so the money was in the business for only 8 months.
Gopal: \(40000\times12=480000\)
Rehana: \(72000\times8=576000\)
Ratio \(=5:6\), total 11 parts
Gopal’s share \(\displaystyle =\frac{5}{11}\times27500=\) Rs 12,500
Gopal’s share is Rs 12,500.
Why the other options are incorrect
Option (1) Rs 13,750 — Incorrect. This splits the profit equally; it must be shared in the ratio of capital × months.
Option (2) Rs 15,000 — Incorrect. This is Rehana’s share, not Gopal’s.
Option (4) Rs 16,500 — Incorrect. This shares the profit in the ratio of the months only, 12 : 8, leaving out the capitals.