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 = ?

A. Rs. 170

B. Rs. 190

C. Rs. 175

D. Rs. 165

Answer: Option C

Solution(By Examveda Team)

Let CP be 100

	CP	SP
Case 1 →	100	108
Case 2 →	100	92

$$\eqalign{ & \Rightarrow \left( {108 - 92} \right){\text{unit}} = {\text{Rs}}{\text{.}}\,28 \cr & \Rightarrow 16{\text{unit}} = {\text{Rs}}{\text{.}}\,28 \cr & \Rightarrow 1{\text{unit}} = \frac{{28}}{{16}} \cr & \therefore 100{\text{unit}} = \frac{{28}}{{16}} \times 100 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\,175 \cr & {\text{Cost}}\,{\text{Price}} = {\text{Rs}}{\text{.}}\,175 \cr} $$