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A certain sum of money amounts to Rs. 1331 in 3 years at 10 percent compounded annually. Find the sum invested.
Question

A certain sum of money amounts to Rs. 1331 in 3 years at 10 percent compounded annually. Find the sum invested.

A.

Rs. 1050

B.

Rs. 1000

C.

Rs. 1132

D.

Rs. 1100

Correct option is B

Given:
Amount in 3 years = Rs 1331
Formula Used:
Amount=P×(1+r100)n\text{Amount} = P \times \left(1 + \frac{r}{100} \right)^n​​
P → principal; r → rate of interest; n → number of years
Solution:
1331=P×(1+10100)31331=P×(110100)3=>1331=P×(1110)3=>1331=P×13311000 =>P=1331×10001331=10001331 = P \times \left(1 + \frac{10}{100}\right)^3\\1331 = P \times \left(\frac{110}{100}\right)^3 \\\Rightarrow 1331 = P \times \left(\frac{11}{10}\right)^3 \\\Rightarrow 1331 = P \times \frac{1331}{1000} \\\ \\\Rightarrow P = \frac{1331 \times 1000}{1331} = 1000 \\​​

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