Question 111

A started a business with Rs. 20000 and B joined after some time with Rs. 25000. If A and B share the profit in the ratio of 1 : 2 respectively, then what is the ratio of the time period of investment for A and B respectively ?

Solution

Let ratio of the time period of investment for A and B respectively be $$x$$ and $$y$$ years.

Investment of A = Rs. 20,000 and by B = Rs. 25,000

=> Ratio = 4 : 5

Thus, ratio of profits = $$\frac{4x}{5y}=\frac{1}{2}$$

=> $$\frac{x}{y}=\frac{1}{2}\times\frac{5}{4}=\frac{5}{8}$$

$$\therefore$$ Ratio of the time period of investment for A and B respectively = 5 : 8

=> Ans - (C)

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