Question 39
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 investment of A and B = Ratio of their profits
Acc to ques,
=> $$\frac{5 \times 7}{7 \times x} = \frac{1}{2}$$
=> $$\frac{5}{x} = \frac{1}{2}$$
=> $$x = 5 \times 2 = 10$$ months
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