Question

A dealer marks his goods at $35\%$ above the cost price and allows a discount of $20\%$ on the marked price. Find his gain or loss percent.

Answer 1

Let the C.P of goods$=$ Rs.$x$

Now, MP of goods$=x+35\%$ of $x=x+\frac{35x}{100}=\frac{135x}{100}=\frac{27x}{20}$

Now, the rate of discount$=20\%$

Discount$=20\%$ of Rs$\frac{27x}{20}$

$=\frac{20}{100}\times \frac{27x}{20}=\frac{27x}{100}$

Now, S.P$=$M.P$-$Discount$=\frac{27x}{20}-\frac{27x}{100}=\frac{135x-27x}{100}$Rs.$=\frac{108x}{100}=$Rs.$\frac{27x}{25}$

Now,Profit$=$S.P$-$ C.P $=\frac{27x}{25}-x=$ Rs.$\frac{2x}{25}$

Profit $\%=[\frac{profit}{C.P}\times 100]\%$

$=\frac{2x}{25\times x}\times 100\%$

$=8\%$