Question

(3) If selling an article for Rs 220 caused a loss of 12%, what was its cost price?

Answer 1

Cost price of the article = C.P = Rs x (say)
Selling price of the article = S.P = Rs 220
Loss % = 12%
Loss = C.P − S.P
= Rs x − 220
Loss % =$\frac{\mathrm{Loss}}{\mathrm{C}.\mathrm{P}}\times 100$

$$\begin{gathered} \Rightarrow 12=\frac{x-220}{x}\times 100 \\ \Rightarrow 12x=\left(x-220\right)\times 100 \\ \Rightarrow 12x=100x-22000 \\ \Rightarrow 12x-100x=-2200 \\ \Rightarrow -88x=-22000 \\ \Rightarrow 88x=22000 \\ \Rightarrow x=\frac{22000}{88} \\ \Rightarrow x=250 \end{gathered}$$
∴ Cost price of the article is Rs 250.