Multiple choice

Lakshmi Kant and Pyare Lal were partners in a music business. Lakshmi Kant contributed 1/4 of the capital for 15 months and Pyare Lal received 2/3 of the profit. For how long was Pyare Lal's capital used?

  1. 8 months

  2. 9 months

  3. 10 months

  4. 11 months
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let total capital be C and total profit be P. Lakshmi Kant's capital = C/4 for 15 months. Pyare Lal's capital = 3C/4 for x months. Profit ratio = (C/4 * 15) / (3C/4 * x) = 1/2. 15/3x = 1/2, so 30 = 3x, x = 10.

AI explanation

Using the partnership rule that the ratio of profit equals the ratio of the product of capital and time, Lakshmi Kant's capital fraction is 1/4, making Pyare Lal's capital fraction 3/4. Since Pyare Lal received 2/3 of the profit, we set up the equation (3/4 * T) / (1/4 * 15) = (2/3) / (1/3). Solving 3T / 15 = 2 gives 3T = 30, so Pyare Lal's capital was used for 10 months.

Keep practicing — related questions