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Aman invests Rs.5,000 for three years at a certain rate of interest, compounded annually. At the end of the first year, it amounts to Rs.5,600. Calcul
Question

Aman invests Rs.5,000 for three years at a certain rate of interest, compounded annually. At the end of the first year, it amounts to Rs.5,600. Calculate the rate of interest per annum.

A.

13%

B.

14%

C.

12%

D.

11%

Correct option is C

Given:    

Principal (P): Rs.5,000
Amount at the end of the 1st year (A1): Rs.5,600
Interest earned in the first year = Rs.5,600 - Rs.5,000 = Rs.600
Formula Used:
Simple interest formula: SI=P×R×T100SI = \frac{P\times R \times T}{100}   ​

Solution:
I = Interest earned = Rs.600
P = Principal amount (initial investment) = Rs.5,000
r = Annual interest rate (in decimal form)
t = Time period in years = 1   

SI=P×R×T100SI = \frac{P\times R \times T}{100} 

600 = 5000×R×1100 \frac{5000\times R \times 1}{100} 

R = 12% 

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