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₹ 6,000 becomes ₹ 7,200 in 4 years at a certain rate of simple interest. If the rate becomes 1.5 times of itself, the amount of the same principal in 5 years will be

  • A.₹ 8,000
  • B.₹ 8,250
  • C.₹ 9,250
  • D.₹ 9,000

Answer: B

The amount will be ₹ 8,250.

The interest is 1,200 in 4 years, so the rate is:

\[ \begin{aligned} R &= \frac{1200 \times 100}{6000 \times 4} = 5\% \\ R' &= 1.5 \times 5 = 7.5\% \end{aligned} \]

\[ SI = \frac{6000 \times 7.5 \times 5}{100} = 2250 \]

The amount is 6,000 + 2,250 = 8,250. 9,000 comes from using 10% (doubling the rate), and 8,000 and 9,250 from other slips.

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