Divide Rs. 1301 between A and B, so that the amount of A after 7 years is equal to the amount of B after 9 years, the interest being compounded at 4% per annum.

676,625

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690,700

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720,750

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840,520

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Solution

The correct option is A
676,625

Let the two parts be Rs. $x$ and Rs. $(1301 - x)$ .

$x (1 + \frac{4}{100})^{7} = (1301 - x) (1 + \frac{4}{100})^{9} \Leftrightarrow \frac{x}{(1301 - x)} = (1 + \frac{4}{100})^{2} = (\frac{26}{25} \times \frac{26}{25})$ .

$\Leftrightarrow 625 x = 676 (1301 - x) \Leftrightarrow 1301 x = 676 \times 1301 \Leftrightarrow x = 676$ .

So, the two parts are Rs. 676 and Rs. (1301 - 676) i.e. Rs. 676 and Rs. 625.

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Divide Rs. 1301 between A and B, so that the amount of A after 7 years is equal to the amount of B after 9 years, the interest being compounded at 4% per annum.

The correct option is A 676,625 Let the two parts be Rs. x and Rs. (1301 − x). x(1+4100)7 = (1301−x)(1+4100)9 ⇔ x(1301−x) = (1+4100)2 = (2625 × 2625). ⇔ 625x = 676(1301 − x) ⇔1301x = 676 × 1301 ⇔ x = 676. So, the two parts are Rs. 676 and Rs. (1301 - 676) i.e. Rs. 676 and Rs. 625.