Question : A sum triple itself in 9 years at simple interest. Find the rate of interest per annum.
Option 1: $38 \frac{2}{9}$%
Option 2: $33 \frac{1}{3}$%
Option 3: $27 \frac{1}{9}$%
Option 4: $22 \frac{2}{9}$%
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Correct Answer: $22 \frac{2}{9}$%
Solution :
Let P be the principal and R be the rate of interest.
Total amount = 3P
Simple interest, SI = 3P – P = 2P
Term, n = 9 years
So, SI = $\frac{PnR}{100}$
⇒ 2P = $\frac{P×9×R}{100}$
⇒ R = $\frac{200}{9}$ = $22\frac{2}{9}$%
Hence, the correct answer is $22\frac{2}{9}$%.
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