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Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?

  • A.Rs.1261
  • B.Rs.1440
  • C.Rs.1185
  • D.Rs.1346

Answer: A

\[ A = P\left(1 + \frac{R}{100}\right)^{n}, \qquad \text{CI} = A - P, \qquad \text{SI} = \frac{PRn}{100} \]

\[ A = 8000 \times (1.05)^{3} = 8000 \times 1.157625 = \text{Rs. } 9261 \]

\[ \text{CI} = 9261 - 8000 = \text{Rs. } 1261 \]

Simple interest would be \( 8000 \times 0.15 = 1200 \); the extra Rs. 61 is the interest earned on earlier interest.

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