Multiple choice

Amit and Bhanu started a partnership firm with their respective capitals in the ratio 7 : 8, and at the end of 8 months, Amit withdrew. If they received the profits in the ratio 7 : 10, for how long was Bhanu's capital used?

  1. 8 months

  2. 9 months

  3. 10 months

  4. 11 months

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Profit ratio = (Capital A * Time A) / (Capital B * Time B). 7/10 = (7 * 8) / (8 * T). 7/10 = 56 / (8T). 56T = 560, so T = 10 months.

AI explanation

Using the partnership formula where profit ratio equals the ratio of investment multiplied by time, we set up the equation 7 x 8 divided by 8 x T equals 7 divided by 10. This simplifies to 56 divided by 8T equals 0.7. Solving for T gives 8T equals 80, so Bhanu's capital was used for 10 months.

Keep practicing — related questions