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
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & {\text{Let}}\,{\text{P}}{\text{.W}}{\text{.}}\,{\text{be}}\,{\text{Rs}}{\text{.}}\,{\text{x}}{\text{.}} \cr & {\text{Then,}}\,{\text{S}}{\text{.I}}{\text{.}}\,{\text{on}}\,{\text{Rs}}{\text{.}}\,{\text{x}}\,{\text{at}}\,{\text{16}}\% \,{\text{for}}\,{\text{9}}\,{\text{months}} \cr & = Rs.\,189 \cr & \therefore x \times 16 \times \frac{9}{{12}} \times \frac{1}{{100}} \cr & = 189\,or\,x = 1575. \cr & \therefore P.W. = Rs.\,1575. \cr & \therefore {\text{Sum}}\,{\text{due}} = P.W. + T.D. \cr & = Rs.\left( {1575 + 189} \right) \cr & = Rs.\,1764 \cr} $$Related Questions on True Discount
The true discount on Rs. 2562 due 4 months hence is Rs. 122. The rate percent is:
A. 12%
B. 13%
C. 15%
D. 14%
A. Rs. 9025.20
B. Rs. 9200
C. Rs. 9600
D. Rs. 9560
A. Rs. 12,000 in cash
B. Rs. 12,880 at credit
C. Both are equally good
D. Rs. 18.33
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