Discussion
A certain amount becomes two times with simple interest in a certain time (T years) at a certain rate of interest (R%) per annum. Then which of the following is not correct about rate and time?
Answer: B
The pair that is not correct is R = 15%, T = 7 years.
A sum doubles when the simple interest equals the principal:
\[ \begin{aligned} \frac{P \times R \times T}{100} &= P \\ \Rightarrow R \times T &= 100 \end{aligned} \]
Checking each option: 10 × 10 = 100, 25 × 4 = 100 and 5 × 20 = 100, so those three double the sum. But 15 × 7 = 105, which gives 105% interest, not exactly 100%.
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