Discussion
A sum amount to Rs.1344 in two years at simple interest. What will be the compound interest on the same sum at the same rate of interest for the same period?
Answer: D
Compound interest needs both the principal and the rate, but the question supplies only the final amount.
\[ P + \frac{P \times R \times 2}{100} = 1344 \]
That is one equation in two unknowns, so infinitely many pairs fit. For example:
- \( P = 1200 \) at 6% gives 1344, and CI would be Rs. 148.32
- \( P = 1120 \) at 10% also gives 1344, and CI would be Rs. 235.20
Since the two produce different answers, the data are insufficient. Any of these questions that fixes only the amount, and not the principal or rate separately, is underdetermined.
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