QQuestion
If the annual rate of simple interest decreases from 5.5% to 4.5%, then the total interest is decreased by ₹ 250. Find the capital.
Exam-ready answer • 02 Mark
✓Answer
Let the capital be x.
SI for 1 year = \text{x × rate × 1}\over100
Decrease in rate (r) = 5.5% – 4.5% = 1%.
Thus, the decrease in interest = \text{x} × 1 × 1\over100 = \frac{x}{100}
⇒ \frac{x}{100} = 250
or, x = 250 × 100 = ₹ 25000.
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