Question

The princiapal which will amount to ₹270.40 in 2 years at the rate of 4%per annum compound interest is

Answer 1

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Here is your answer

As we know the formula,
$a = p(1 + \frac{r}{100} ) {}^{n} \\ \\ 270.4 = p(1 + \frac{4}{100} ) {}^{2} \\ \\ 270.4 = p( \frac{ 25 + 1 }{25} ) {}^{2} \\ \\ 270.4 = p( \frac{26}{25} ) {}^{2} \\ \\ p = \frac{270.4 \times 25 \times 25}{26 \times 26} \\ \\ p = 250$
Therefore, Principal is ₹250.

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Answer 2

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Here is your answer

Given:

Amount = ₹270.4

Time = 2 years

Rate of interest = 4% p.a.

As we know that,

$a = p(1 + \frac{r}{100} ) {}^{n} \\ \\ 270.4 = p(1 + \frac{ 4}{100} ) {}^{2} \\ \\ \\ 270.4 = p( \frac{25 + 1}{25} ) {}^{2} \\ \\ 270.4 = p( \frac{26}{25} ) {}^{2} \\ \\ p = \frac{270.4 \times {25}^{2} }{ {26}^{2} } \\ \\ p = 250$
Now,

Principal = ₹250

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