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Question

The CI for a sum of money for 2 years at the rate of 10% per annum compounded annually is Rs.315. Find the simple interest for the same sum for the same period at the same rate.

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Solution

Compound interest 2 years =Rs. 315
Let principal=Rs. P
Amount =Principal+Interest
=Rs. P+315
A=P(1+R/100)n
P+315=P(1+10/100)2
=P(11/100)2
P+315=121P/100
100P+31500=121P
21P=31500
P=1500
Principal is Rs. 1500
Simple interest=P×R×T/100
S.I=1500×10×2/100
S.I=30000/100
S.I=300Rs.
Simple interest for 2 years at 10% on Rs. 1500 is Rs. 300.

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