₹ 3757 is to be divided between A and B such | vedclass

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(A) Let $A$'s share be $₹ x$ and $B$'s share be $₹(3757 - x)$.According to the problem,the amount of $A$ after $7$ years equals the amount of $B$ afte

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$1700$

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(A) Let $A$'s share be $₹ x$ and $B$'s share be $₹(3757 - x)$.According to the problem,the amount of $A$ after $7$ years equals the amount of $B$ after $9$ years at $10 \%$ compound interest.$x(1 + \frac{10}{100})^7 = (3757 - x)(1 + \frac{10}{100})^9$Dividing both sides by $(1 + \frac{10}{100})^7$,we get:$x = (3757 - x)(1 + \frac{10}{100})^2$$x = (3757 - x)(\frac{11}{10})^2$$x = (3757 - x)(\frac{121}{100})$$100x = 121(3757 - x)$$100x = 454597 - 121x$$221x = 454597$$x = \frac{454597}{221} = 2057$So,$A$'s share is $₹ 2057$.$B$'s share $= 3757 - 2057 = ₹ 1700$.

₹ $3757$ is to be divided between $A$ and $B$ such that $A$'s share at the end of $7$ years may be equal to $B$'s share at the end of $9$ years. If the rate of interest is $10 \%$ per annum compounded annually,what is $B$'s share (in ₹)?

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