Discussion
Aman invests Rs. 8000 at some rate of interest. Being simple interest the money doubles in 5 years. Raj sees this and invests Rs. 6250 for 3 years at same rate of interest. How much interest does Raj get?
Answer: A
\[ \text{SI} = \frac{P \times R \times T}{100} \]
Doubling means the interest equals the principal.
\[ P = \frac{P \times R \times 5}{100} \quad\Longrightarrow\quad R = 20\% \]
\[ \text{Raj's interest} = \frac{6250 \times 20 \times 3}{100} = \text{Rs. } 3750 \]
Aman's Rs. 8000 never enters Raj's calculation; it serves only to fix the rate, and even that cancels out of the doubling condition.
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