# Discussion of Question with ID = 054 under Partnerships

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### Question

During the first 4 months the investments of A and B were in the ratio 1:3. For the remaining months the investments were in the ratio 3:1. What will be the share of A in an annual profit of Rs. 2400?

A

Rs. 1400.

B

Rs. 1500.

C

Rs. 1300.

D

Rs. 1600.

Soln.
Ans: a

The profits are shared in the ratio of money-months contributed by the partners. Money-months contributed by A are 4 × 1 + 8 × 3 = 28, whereas those by B are 4 × 3 + 8 × 1 = 20. The ratio of these money-months is 7:5. This is the ratio in which the profits would be divided. A's share = 2400 × \$7/{7 + 5}\$ = Rs. 1400.