Divide Rs. 2602 between X and Y,so that the a | vedclass

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Question

(A) Let the first part given to $X$ be $Rs. a$ and the second part given to $Y$ be $Rs. (2602 - a)$.According to the question,the amount of $X$ after

Vedclass · Accepted Answer

$Rs. 1352$,$Rs. 1250$

Vedclass · Answer

(A) Let the first part given to $X$ be $Rs. a$ and the second part given to $Y$ be $Rs. (2602 - a)$.According to the question,the amount of $X$ after $7 \,yr$ is equal to the amount of $Y$ after $9 \,yr$ with interest compounded at $4 \%$ per annum.Formula for amount: $A = P(1 + \frac{r}{100})^n$.So,$a(1 + \frac{4}{100})^7 = (2602 - a)(1 + \frac{4}{100})^9$.Dividing both sides by $(1 + \frac{4}{100})^7$,we get:$a = (2602 - a)(1 + \frac{4}{100})^2$.$a = (2602 - a)(1 + \frac{1}{25})^2 = (2602 - a)(\frac{26}{25})^2$.$a = (2602 - a) 	imes \frac{676}{625}$.$625a = 676(2602 - a)$.$625a = 1758952 - 676a$.$1301a = 1758952$.$a = \frac{1758952}{1301} = 1352$.Thus,the first part is $Rs. 1352$ and the second part is $2602 - 1352 = Rs. 1250$.

Divide $Rs. 2602$ between $X$ and $Y$,so that the amount of $X$ after $7 \,yr$ is equal to the amount of $Y$ after $9 \,yr$,the interest being compounded at $4 \%$ per annum.

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