Question

A certain sum amounts to 3 5832 in 2 years at 8% per annum compound interest. Find the sum​

Answer 1

A certain sum amounts to 5832 Rs. in 2 years at 8% per annum compound interest, the sum is :

[A] 5000 Rs.

[B] 5400 Rs.

[C] 5200 Rs.

[D] 5280 Rs.

5832 = $P \left ( 1+\frac{8}{100} \right )^{2}$

=> 5832 = $P \left ( 1+\frac{2}{25} \right )^{2}$

=> 5832 = $P\times \frac{27}{25}\times \frac{27}{25}$

=> P = $\frac{5832 \times 25 \times 25}{27 \times 27}$ = 5000 Rs.

∴ option [A] is correct answer.

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