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An amount of Rs. 3000 becomes Rs. 3600 in four years at simple interest. If the rate of interest was 1% more, then what was be the total amount?

  • A.Rs. 3800
  • B.Rs. 3780
  • C.Rs. 3720
  • D.Cannot be determined

Answer: C

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

\[ \text{SI} = 3600 - 3000 = 600 \quad\Longrightarrow\quad 600 = \frac{3000 \times R \times 4}{100} = 120R \]

\[ R = 5\% \]

At 6%:

\[ \text{SI} = \frac{3000 \times 6 \times 4}{100} = 720 \quad\Longrightarrow\quad \text{amount} = \text{Rs. } 3720 \]

The data are complete, so "cannot be determined" is a trap: one extra percentage point over four years adds \( 3000 \times 0.04 = 120 \).

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