Discussion
The equal amounts of money are deposited in two banks each at 15% per annum for 3.5 years and 5 years respectively. If the difference between their interests is Rs.144, find the each sum?
Answer: B
\[ \text{SI} = \frac{P \times R \times T}{100} \]
Both banks take the same sum at the same rate, so the difference comes from the 1.5 extra years.
\[ \frac{P \times 15 \times 5}{100} - \frac{P \times 15 \times 3.5}{100} = 144 \]
\[ \frac{P \times 15 \times 1.5}{100} = 0.225P = 144 \]
\[ P = \frac{144}{0.225} = \text{Rs. } 640 \]
Checking: Rs. 480 over 5 years against Rs. 336 over 3.5 - a difference of exactly Rs. 144.
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