Question

A shopkeeper earns $15$% profit on a shirt even after allowing $31$% discount on the list price. If the list price is Rs. $125$, then what is the cost price of the shirt?

• A. Rs. $65$
• B. Rs. $75$
• C. Rs. $85$
• D. Rs. $95$

Answer 1

The correct option is B Rs. $75$

$\Rightarrow$ We have given $31\%$ discount on list price and list price of shirt is $Rs.125.$

$\Rightarrow$ Selling price of shirt = $(100-discount)\%\times Listprice$

$\Rightarrow$ Selling price of shirt = $(100-31)\%\times 125=\frac{69}{100}\times 125=86.25$

$\Rightarrow$ Shopkeeper earn $15\%$ profit on cost price.

$\Rightarrow$ $86.25=costprice\times \frac{115}{100}$

$\therefore$ $Costprice=\frac{86.25\times 100}{115}=75.$