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### Discussion :: True Discount

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

2.  A. Rs. 1386 B. Rs. 1764 C. Rs. 1575 D. Rs. 1575

Answer : Option B

Explanation :

Let P.W. be Rs. x.

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

x x 16 x$$\frac { 9 } {1 2 } *$$$$\frac { 1 } {100 }$$=189 or x = 1575

P.W. = Rs. 1575.

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

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