The true discount on Rs. 1760 due after a certain time at 12% per annum is Rs. 1

Question

The true discount on Rs. 1760 due after a certain time at 12% per annum is Rs. 160. The time after which it is due is:

Options:

A . 6 months

B . 8 months

C . 9 months

D . 10 months

Answer: Option D

P.W. = Rs. (1760 -160) = Rs. 1600.

So, S.I. on Rs. 1600 at 12% is Rs. 160.

Therefore Time = \(\left(\frac{100\times160}{1600\times12}\right) =\frac{5}{6} years = \left(\frac{5}{6}\times12\right)months = 10 months.\)

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