Question

A shopkeeper buys an article for Rs $400$ and marks it for sale at a price that may give him $80$% profits on his cost. He however gives $15$% discount on the marked price to his customer.
Calculate:
i) the method price of the article.
ii) the discount in rupees given to the customer,
iii) the actual percentage profit made by the shopkeeper.

Answer 1

$\left(1\right)$ Mark price$=400+\frac{80\times 400}{100}=400+320=720$

$\left(2\right)$ Discount $\%=15\%$

$=15\times \frac{720}{100}=108$

$sp=720-108=612$

$\left(3\right)$ Total profit$=sp-cp=612-400=212$

Profit $=\frac{212}{400}\times 100=53\%$.