A trader sells an article and loses $$12\frac{1}{2}$$%. The ratio of cost price to the selling price is -

A. 7 : 8

B. 9 : 8

C. 8 : 7

D. 8 : 9

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & {\text{Let C}}{\text{.P}}{\text{.}} = {\text{Rs}}{\text{. }}x \cr & {\text{Loss}} = 12\frac{1}{2}\% \cr & {\text{S}}{\text{.P}}{\text{.}} = 87\frac{1}{2}\% {\text{ of Rs}}{\text{. }}x \cr & \,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\left( {\frac{{175}}{2} \times \frac{1}{{100}} \times x} \right) \cr & \,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\frac{{7x}}{8} \cr & \therefore {\text{Required ratio}} \cr & = x:\frac{{7x}}{8} = 8:7 \cr} $$