A shopkeeper expects a gain of $$22\frac{1}{2}$$% on his cost price. If in a week, his sale was of Rs. 392, what was his profit ?
a) Rs. 18.20
b) Rs. 70
c) Rs. 72
d) Rs. 88.25
Answer: c
Explanation:
$$\eqalign{
& {\text{C}}{\text{.P}}{\text{. = Rs}}.\left( {\frac{{100}}{{122.50}} \times 392} \right) \cr
& \,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}.\left( {\frac{{1000}}{{1225}} \times 392} \right) \cr
& \,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{. }}320. \cr
& {\text{Profit}} = {\text{Rs}}.\left( {392 – 320} \right) \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{. }}72 \cr} $$
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