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The True discount on Rs1760 due after a certain time at 12% per annum is Rs160. The time after which it is due is?

  • A.15months
  • B.5months
  • C.12months
  • D.10months

Answer: D

\[ \text{PW} = 1760 - 160 = \text{Rs. } 1600 \]

\[ 160 = \frac{1600 \times 12 \times T}{100} = 192\,T \]

\[ T = \frac{160}{192} = \frac{5}{6} \text{ year} = 10 \text{ months} \]

The interest runs on the Rs. 1600 present worth, not the Rs. 1760 face value; using the latter would give about 9 months.

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