Discussion
Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?
Answer: B
\[ \text{SI} = \frac{P \times R \times T}{100} \]
The number of years equals the rate, so write both as \( R \).
\[ 432 = \frac{1200 \times R \times R}{100} = 12R^{2} \]
\[ R^{2} = 36 \quad\Longrightarrow\quad R = 6 \]
So the rate is 6% and the period 6 years. The data are complete, so "cannot be determined" is a trap; the negative root is discarded as a rate.
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