Farida invests an amount of Rs. 4,800 for 3 years at the rate of 8 p.c.p.a. What approximate amount of compound interest will she obtain at the end of 3 years?

A Rs. 1144

B Rs. 1947

C Rs. 1047

D Rs. 1544

E Rs. 1247

Solution

Correct Answer: Option E

{Formula :
If P is the principle kept at Compound Interest @ r% p.a , amount after n years will be P(1+ r/100)n}

Farida invests an amount of Rs. 4,800 for 3 years at the rate of 8 p.c.p.a.

So amount of the principle after 3 years will be \(= P{\left( {1 + \frac{r}{{100}}} \right)^n}\)

\(= 4800{\left( {1 + \frac{8}{{100}}} \right)^3}\)

\(= 4800{\left( {\frac{{108}}{{100}}} \right)^3}\)

= 6046.61

Amount of compound interest after 3 years = Rs (6046.61 – 4800) = Rs 1246.61 ≈ Rs 1247

Hence the answer is Rs 1247

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