A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit. Find for how long B's money was used?
Let's say total capital is T, so A invests $$(\frac{T}{4}) \times 15$$ and say B invests for t time $$(\frac{3T}{4}) \times t$$
Hence profit will also be distributed in the ratio of their investment.
So profit distribution ratio will be $$(\frac{T}{4}) \times 15$$ : $$(\frac{3T}{4}) \times t$$
or 5:t
So B's share will be \frac{t}{5+t} = \frac{2}{3}
or t=10
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