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Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?

  • A.Rs.9680
  • B.Rs.9860
  • C.Rs.9380
  • D.Rs.9800

Answer: A

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

Find the rate first.

\[ \text{SI} = 9200 - 8000 = 1200 \quad\Longrightarrow\quad 1200 = \frac{8000 \times R \times 3}{100} = 240R \]

\[ R = 5\% \]

At \( 5 + 2 = 7\% \):

\[ \text{SI} = \frac{8000 \times 7 \times 3}{100} = 1680 \quad\Longrightarrow\quad \text{amount} = \text{Rs. } 9680 \]

The extra 2% over three years adds \( 8000 \times 0.06 = 480 \) - the same answer directly.

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