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The profit earned by a shopkeeper by selling a bucket at a gain of 8% is Rs. 28 more than when he sells it at a loss of 8%. The cost price (in Rupees) of the bucket is = ?
Answer & Solution
Correct Answer:
Option
C
Let CP be 100
$$\eqalign{ & \Rightarrow \left( {108 - 92} \right){\text{unit}} = {\text{Rs}}{\text{.}}\,28 \cr & \Rightarrow 16{\text{unit}} = {\text{Rs}}{\text{.}}\,28 \cr & \Rightarrow 1{\text{unit}} = \frac{{28}}{{16}} \cr & \therefore 100{\text{unit}} = \frac{{28}}{{16}} \times 100 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\,175 \cr & {\text{Cost}}\,{\text{Price}} = {\text{Rs}}{\text{.}}\,175 \cr} $$
| CP | SP | |
| Case 1 → | 100 | 108 |
| Case 2 → | 100 | 92 |
$$\eqalign{ & \Rightarrow \left( {108 - 92} \right){\text{unit}} = {\text{Rs}}{\text{.}}\,28 \cr & \Rightarrow 16{\text{unit}} = {\text{Rs}}{\text{.}}\,28 \cr & \Rightarrow 1{\text{unit}} = \frac{{28}}{{16}} \cr & \therefore 100{\text{unit}} = \frac{{28}}{{16}} \times 100 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\,175 \cr & {\text{Cost}}\,{\text{Price}} = {\text{Rs}}{\text{.}}\,175 \cr} $$
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