Question

Joseph started a business by investing ₹ 100000. After 2 months, B joined him by investing ₹ 90000. After 4 more months, C joined them by investing ₹ 100000. The ratio of their shares in the profit at the end of the year is:

• A. 10 : 9 : 10
• B. 10 : 9 : 5
• C. 6 : 5 : 3
• D. 4 : 3 : 2

Hint:

To determine profit-sharing ratios in partnerships, multiply each partner's investment by the time (in months) for which it was invested.

Answer 1

The Correct Option is D

We calculate the investment × time for each person: - Joseph: Invested ₹100000 for 12 months = \( 100000 \times 12 = 1200000 \) - B: Invested ₹90000 for 10 months (joined after 2 months) = \( 90000 \times 10 = 900000 \) - C: Invested ₹100000 for 6 months (joined after 6 months) = \( 100000 \times 6 = 600000 \) Now, compute the ratio: \[ 1200000 : 900000 : 600000 = 12 : 9 : 6 = 4 : 3 : 2 \]