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A sum, when invested at 10% simple interest per annum, amounts to Rs. 2880 after 2 years. What is the simple interest (in Rs.) on the same sum at the
Question

A sum, when invested at 10% simple interest per annum, amounts to Rs. 2880 after 2 years. What is the simple interest (in Rs.) on the same sum at the same rate of interest in 2 years?

A.

960

B.

240

C.

480

D.

1920

Correct option is C

Given:

Final Amount (A) after 2 years = ₹2880
Time (T) = 2 years
Rate of Interest (R) = 10% per annum
Formula Used:
Simple Interest (SI) = P×R×T100\frac {P × R × T}{ 100} ​​
Amount = Principal + S.I
Solution:
Amount = Principal + S.I 
​​2880 =P+(P×10×2100) P + \left( \frac{P \times 10 \times 2}{100} \right)​​
2880 = P + P5\frac{P}{5} 
2880 = 6P5\frac{6P}{5}​  
P = 2400
Simple Interest on same sum = 2400×10×2100=480\frac{2400 × 10 × 2}{100} = ₹480​​

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