The bankers discount on Rs. 1600 at 15% per annum is the same as true discount o

Question

The bankers discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is:

Options:

A . 3 months

B . 4 months

C . 6 months

D . 8 months

Answer: Option B

S.I. on Rs. 1600 = T.D. on Rs. 1680.

So, Rs. 1600 is the P.W. of Rs. 1680, i.e., Rs. 80 is on Rs. 1600 at 15%.

So, Time = \(\left(\frac{100\times80}{1600\times15}\right)year = \frac{1}{3}year = 4 months.
\)

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