Question

A salesman is offered $4$$\%$ discount still he gets $20$$\%$ profit. If printed price of an article is Rs. $850$, then find the cost price of an article.

Answer 1

Given, printed price of article $=$ Rs. $850$
Discount $=4$ $\%$
Profit $=20$ $\%$
Selling price $=850-(\frac{4}{100}\times 850)$
$=850-34$
$=$ Rs. $816$
Let cost price $=$ Rs. $x$
Gain $\%$ $=\left(\frac{S.P.-C.P.}{C.P.}\right)\times \left(100\right)$
$\Rightarrow 20=\left(\frac{816-x}{x}\right)\times 100$
$\Rightarrow 5(816-x)=x$
$\Rightarrow 4080-4x=x$
$\Rightarrow 4080=6x$
$\Rightarrow x=680$
$\therefore$ the cost price of the article is Rs. $680$.