Question

A sells an article to B at a profit of 25% and B sells it to C at a loss of 20%.Find the cost price of a A,if B incurs a loss of Rs 1500 in this transaction.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{cost}\mathrm{price}\mathrm{of}A\mathrm{is}x. \\ \mathrm{selling}\mathrm{price}\mathrm{of}A=\mathrm{cost}\mathrm{price}\mathrm{of}B=x\left(1+25\%\right)=\frac{5}{4}x \\ \mathrm{Selling}\mathrm{price}\mathrm{of}B=\mathrm{Cost}\mathrm{price}\mathrm{of}C=\frac{5}{4}x\left(1-20\%\right)=\frac{5}{4}x\times \frac{8}{10}=x \\ \mathrm{Loss}\mathrm{of}B=\frac{5}{4}x-x=\frac{x}{4} \\ \mathrm{ATQ}, \\ \frac{x}{4}=1500 \\ \Rightarrow x=\mathrm{Rs}6000 \end{gathered}$$