Question

A mobile phone was marked at $35\%$ above the cost price and a discount of $20\%$ was given on the marked price. Find the profit $\%$ or loss $\%$ made by the shopkeeper.

Answer 1

Let marked price of phone by $Rs100$ and cost price be $Rsx$

Now, $\frac{100-x}{x}=\frac{35}{100}$

or, $10000-100x=35x$

or, $135x=10000$

$\therefore x=74.07$

$\therefore$ Cost price$=Rs74.07$

Discount $=ls(\frac{20}{100}\times 100)=Rs20$

$\therefore$ Selling price$=ls80$

$\therefore$ Selling price $=ls80$

$\because$ Selling price > Cost price

$\therefore$ Profit $=ls(80-74.07)=Rs5.92$

$\therefore$ Profit $\%=\frac{5.92}{74.07}\times 100=8\%$