Discussion
A man got Rs. 130 less, as simple interest, when he invested Rs. 2000 for 4 years as compared to investing Rs. 2250 for same duration. What is the rate of interest?
Answer: B
\[ \text{SI} = \frac{P \times R \times T}{100} \]
The two investments share the rate and the four years, so the Rs. 130 gap comes entirely from the Rs. 250 difference in principal.
\[ \frac{(2250 - 2000) \times R \times 4}{100} = 130 \]
\[ \frac{250 \times 4R}{100} = 10R = 130 \quad\Longrightarrow\quad R = 13\% \]
Working out each interest separately gives the same answer but needs two calculations instead of one.
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