Discussion

A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is?

Answer: C

\[ \text{SI} = \frac{P \times R \times T}{100} \]

Under simple interest each year adds the same amount, so the gap between the two figures is one year's interest.

\[ 854 - 815 = \text{Rs. } 39 \text{ per year} \]

\[ P = 815 - 3 \times 39 = 815 - 117 = \text{Rs. } 698 \]

Working back three years from the three-year amount recovers the principal.

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