Question

a certain sum amounts to rupees 2970. 25 in 2 years at 9% per annum compounded annually find the sum​

Answer 1

Hey mate here is your answer:

Let the sum be ₹x,

we know,

$amount = sum \times (1 + \frac{rate}{100} ) {}^{n}$

where n=no.of years,

putting given values from question:

$2970.25 = x \times (1 + \frac{9}{100}) {}^{2}$

$2970.25 = x \times \frac{109}{100} \times \frac{109}{100}$

$= > x = \frac{2970.25 \times 100 \times 100}{109 \times 109}$

$x = 2500 \: \: (answer)$