Multiple choice

A and B enter into a partnership with capitals in the ratio 7:8 and at the end of 8 months A withdraws. If they receive profits in the ratio of 7:11 find how long B’s capital was used?

  1. 8

  2. 9

  3. 11

  4. 12

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

In partnership, profit distribution is proportional to investment × time. A invested 7 units for 8 months = 56. B invested 8 units for t months = 8t. Given profit ratio 7:11, we have 56 : 8t = 7 : 11. Solving: 8t = 56 × 11/7 = 88, so t = 11 months.

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