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The true discount on Rs. 1860 due after a certain time at 5% per annum is Rs. 60. After how long is it due ?

  • A.6 months
  • B.8 months
  • C.9 months
  • D.10 months

Answer: C

Correct answer: 8 months

\[60 = \frac{1860 \times 5T}{100 + 5T} \quad\Longrightarrow\quad 60(100 + 5T) = 9300T\]

\[6000 + 300T = 9300T \quad\Longrightarrow\quad 9000T = 6000 \quad\Longrightarrow\quad T = \tfrac{2}{3} \text{ year}\]

Two-thirds of a year is 8 months. The present worth is Rs. 1800, and 8 months of interest on it at 5% is Rs. 60.

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