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Question

Mathematics Question on SI & CI

Seema invested an amount of Rs. 16,000 for two years on compound interest and received an amount of Rs. 17,640 on maturity. What is the rate of interest ?

A

5 pcpa

B

8 pcpa

C

4 pcpa

D

Data inadequate

Answer

5 pcpa

Explanation

Solution

The formula for Amount(A) is
Amount (A) = (P) Principal ×[1r100]n\times[1-\frac{r}{100}]^n

Now putting the values given in the question to the equation, we get

17640 = 16000×[1r100]2\times[1-\frac{r}{100}]^2

On solving the equation, we get
r=r= 0.05 = 5%\%
So, the Rate of interest = 5%\% per annum
The correct option is (A)