M and N enter into a partnership with capitals in the ratio 5 : 6 and at the end of 8 months, M withdraws. If they receive profit in the ratio of 5 : 9. Find how long N's capital was used?

Question: M and N enter into a partnership with capitals in the ratio 5 : 6 and at the end of 8 months, M withdraws. If they receive profit in the ratio of 5 : 9. Find how long N's capital was used?

Solution:
Let the capitals of N was used for X months.
According to the question,
(5 × 8)/(6 × X) = 5/9
⇒ X = 12 months

Hence capital of N was used for = 12 months.