Question 49

A and B started a business with initial investments in the ratio 5 : 7. If after one year their profits were in the ratio 1 : 2 and the period for A’s investment was 7 months, B invested the money for :

Solution

Let B invested the money for = $$x$$ months

=> Ratio of investments of A : B = $$(5 \times 7) : (7 \times x)$$

= $$5 : x$$

Acc to ques

=> $$\frac{5}{x} = \frac{1}{2}$$

=> $$x = 5 \times 2 = 10$$ months

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