the true discount on a bill due 9 months hence at 16..., Discount, General Mathematics

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

A `Rs. 1386` 
B `Rs. 1764` 
C Rs. 1575` 
D `Rs. 2268`

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+ AnswerB

+ ExplanationLet p.w. be Rs. x.

Then, S.l on Rs. x at `16%` for `9` months 

`= Rs. 189.`

`:. x xx 16 xx 9/12 xx 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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