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 ? ?->(Show Answer!)

1. 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 ?

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By: anil on 05 May 2019 02.27 am

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 = $$frac{4x}{5y}=frac{1}{2}$$ => $$frac{x}{y}=frac{1}{2} imesfrac{5}{4}=frac{5}{8}$$ $$ herefore$$ Ratio of the time period of investment for A and B respectively = 5 : 8 => Ans - (C)

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