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A sum of rupe...

Question

A sum of rupees 3903 is divided between P and Q such that the share of P at the end of 8 years is equal to the share of Q after 10 years. Find the share of P if the rate of interest is 4% compounded annually.

2012

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2029

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2028

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2081

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None of these

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Solution

The correct option is C
2028

According to Question
$P \times (1 + \frac{4}{100})^{8}$
=(3903-P) $\times (1 + \frac{4}{100})^{10}$
After solving we get P=2028

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A sum of rupees 3903 is divided between P and Q such that the share of P at the end of 8 years is equal to the share of Q after 10 years. Find the share of P if the rate of interest is 4% compounded annually.

The correct option is C 2028 According to Question P×(1+4100)8 =(3903-P) ×(1+4100)10 After solving we get P=2028

The correct option is C
2028

According to Question
$P \times (1 + \frac{4}{100})^{8}$
=(3903-P) $\times (1 + \frac{4}{100})^{10}$
After solving we get P=2028