Discussion
The simple interest and the true discount on a certain sum for a given time and at a given rate are Rs. 25 and Rs. 20 respectively. What is the sum ?
Answer: A
Correct answer: Rs. 100
Simple interest is reckoned on the amount and true discount on the present worth, and the standard relation between them is
\[\text{Sum} = \frac{SI \times TD}{SI - TD} = \frac{25 \times 20}{25 - 20} = \frac{500}{5} = 100\]
The gap between the two figures is exactly the interest on the true discount itself.
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