Multiple choice

The ratio of the capitals of A and B in a partnership was 5 : 6. A withdrew his capital after 8 months. How long was B's capital used if they got the profits in the ratio 5 : 9?

  1. 10 months

  2. 12 months

  3. 14 months

  4. 15 months

  5. 16 months
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Profit ratio = (Capital_A * Time_A) / (Capital_B * Time_B). 5/9 = (5 * 8) / (6 * T_B). 5/9 = 40 / (6 * T_B). 30 * T_B = 360, T_B = 12 months.

AI explanation

Using the partnership formula for profit ratio, (Investment of A * Time of A) divided by (Investment of B * Time of B) equals the profit ratio. Let B's time be T months, so (5 * 8) / (6 * T) = 5 / 9. Cross-multiplying gives 45T = 360, meaning B's capital was used for 12 months.

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