Question

Find C.P if $S.PisRs18andLoss=40\%$

Answer 1

As it is given that $S.PisRs18andLoss=40\%$

We know that $Loss\%=\frac{loss}{C.P}\times 100----\left(\mathrm{i}\right)$

Let $C.PbeRsx$

Also $Loss=C.P-S.P=Rs(x-18)$

putting values in equation (i)

$$\begin{gathered} \Rightarrow 40=\frac{\left(x-18\right)}{x}\times 100 \\ \Rightarrow \frac{40}{100}=\frac{\left(x-18\right)}{x} \\ \Rightarrow \frac{2}{5}=\frac{\left(x-18\right)}{x} \\ \Rightarrow 2x=5\left(x-18\right) \\ \Rightarrow 2x=5x-90 \\ \Rightarrow 5x-2x=90 \\ \Rightarrow 3x=90 \\ \Rightarrow x=\frac{90}{3}=30 \end{gathered}$$

Hence C.P is $Rs30$