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In how many years does a sum of Rs. 5000 yield a simple interest of Rs. 16500 at 15% p.a.?

  • A.22
  • B.24
  • C.25
  • D.23

Answer: A

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

\[ 16500 = \frac{5000 \times 15 \times T}{100} = 750\,T \]

\[ T = \frac{16500}{750} = 22 \text{ years} \]

The interest is more than three times the principal, so a long period is expected - at 15% a year it takes over six years just to match the sum.

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