Discussion
Ram gets Rs. 2600 for Rs. 2000 in 5 years at some rate of simple interest. Had he invested in other places where rate of simple interest is 3% more than current rate, how much would have Ram got in same time?
Answer: A
\[ \text{SI} = \frac{P \times R \times T}{100} \]
Find the original rate first.
\[ \text{SI} = 2600 - 2000 = 600 \quad\Longrightarrow\quad 600 = \frac{2000 \times R \times 5}{100} = 100R \]
\[ R = 6\% \]
At \( 6 + 3 = 9\% \):
\[ \text{SI} = \frac{2000 \times 9 \times 5}{100} = 900 \quad\Longrightarrow\quad \text{amount} = \text{Rs. } 2900 \]
The extra 3% over 5 years adds \( 2000 \times 0.15 = 300 \) - the same answer in one step.
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