Question
The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is:
Answer: Option B
$$\eqalign{
& {\text{Let}}\,{\text{P}}{\text{.W}}{\text{.}}\,{\text{be}}\,{\text{Rs}}{\text{.}}\,{\text{x}}{\text{.}} \cr
& {\text{Then,}}\,{\text{S}}{\text{.I}}{\text{.}}\,{\text{on}}\,{\text{Rs}}{\text{.}}\,{\text{x}}\,{\text{at}}\,{\text{16}}\% \,{\text{for}}\,{\text{9}}\,{\text{months}} \cr
& = Rs.\,189 \cr
& \therefore x \times 16 \times \frac{9}{{12}} \times \frac{1}{{100}} \cr
& = 189\,or\,x = 1575. \cr
& \therefore P.W. = Rs.\,1575. \cr
& \therefore {\text{Sum}}\,{\text{due}} = P.W. + T.D. \cr
& = Rs.\left( {1575 + 189} \right) \cr
& = Rs.\,1764 \cr} $$
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$$\eqalign{
& {\text{Let}}\,{\text{P}}{\text{.W}}{\text{.}}\,{\text{be}}\,{\text{Rs}}{\text{.}}\,{\text{x}}{\text{.}} \cr
& {\text{Then,}}\,{\text{S}}{\text{.I}}{\text{.}}\,{\text{on}}\,{\text{Rs}}{\text{.}}\,{\text{x}}\,{\text{at}}\,{\text{16}}\% \,{\text{for}}\,{\text{9}}\,{\text{months}} \cr
& = Rs.\,189 \cr
& \therefore x \times 16 \times \frac{9}{{12}} \times \frac{1}{{100}} \cr
& = 189\,or\,x = 1575. \cr
& \therefore P.W. = Rs.\,1575. \cr
& \therefore {\text{Sum}}\,{\text{due}} = P.W. + T.D. \cr
& = Rs.\left( {1575 + 189} \right) \cr
& = Rs.\,1764 \cr} $$
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