Multiple choice

A and B are partners in a business. They invest in the ratio of 5 : 6; at the end of 8 months A withdraws. If they receive profits in the ratio of 5 : 9, then find how long B’s investment was used.

  1. 12 months

  2. 10 months

  3. 14 months

  4. 15 months

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Profit ratio in partnership equals investment ratio weighted by time. A's investment: 5×8 = 40, B's investment: 6×t where t is months. Profit ratio 5:9 means 40/6t = 5/9, so 360 = 30t, giving t = 12 months. Option B (10 months) and C (14 months) are calculation errors.