Discussion
The true discount on Rs. 3520 due after a certain time at 18% per annum is Rs. 320. The time after which it is due is:
Answer: C
\[ \text{PW} = 3520 - 320 = \text{Rs. } 3200 \]
True discount is simple interest on the present worth:
\[ 320 = \frac{3200 \times 18 \times T}{100} = 576\,T \]
\[ T = \frac{320}{576} = \frac{5}{9} \text{ year} \]
That is about 6 months and 20 days. Using the Rs. 3520 face value in place of the present worth gives \( \tfrac{320}{633.6} = \tfrac{4}{9} \) - exactly the distractor offered.
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