The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The

Question

The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is:

Options:

A . Rs. 1386

B . Rs. 1764

C . Rs. 1575

D . Rs. 2268

Answer: Option B

Let P.W. be Rs. x.

Then, S.I. on Rs. x at 16% for 9 months = Rs. 189.

So, x x 16 x \(\frac{9}{12}\times\frac{1}{100}\) = 189 or x = 1575.

So, P.W. = Rs. 1575.

So, Sum due = P.W. + T.D. = Rs. (1575 + 189) = Rs. 1764.

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