Question : For what sum will the simple interest at $R$% per annum for 2 years be $R$?
Option 1: Rs. $\frac{100}{2R}$
Option 2: Rs. $50$
Option 3: Rs. $\frac{100}{R}$
Option 4: Rs.$\frac{200}{R}$
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Correct Answer: Rs. $50$
Solution :
Given:
Simple interest = $R$
Rate = $R$ %
Time = 2 years
Simple interest =$\frac{\text{Principal×Rate×Time}}{100}$
⇒ Principal = $\frac{R×100}{2×R}$
⇒ Principal = Rs.$50$
Hence, the correct answer is Rs.$50$.
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