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Question
What rate present does a man get for his money when in discounting a bill due 10 months hence he deducts 10% of the amount of the bill ?
Options:
A .  $$12\frac{1}{2}\,\% $$
B .  $$13\frac{1}{5}\,\% $$
C .  $$13\frac{1}{3}\,\% $$
D .  $$13\frac{3}{7}\,\% $$
Answer: Option C
Let amount of the bill = Rs. 100. Money deducted = Rs. 10
Money received by the holder of the bill = Rs. (110 - 10) = Rs. 90
∴ S.I. on Rs. 90 for 10 months = Rs. 10
$$\eqalign{
& \therefore {\text{Rate}} = \left( {\frac{{100 \times 10}}{{90 \times \frac{{10}}{{12}}}}} \right)\% \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 13\frac{1}{3}\,\% \cr} $$

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