1.

A shopkeeper sold an article at 20% discount and earned d profit of 4%. By what percent the marked price of the article more than the cost price of the article ?1). 20%2). 15%3). 40%4). 25%

Answer»

Solution

Let the cost price of each article = Rs. $100x$

=> SELLING price = $\frac{104}{100} \times 100x = 104X$ ------------------Eqn(1)

Let the marked price = Rs. $100y$

Selling price of article after 20% discount = $\frac{80}{100} \times 100y = 80y$ ------------Eqn(2)

Comparing eqns(1) & (2), we get :

=> $104x = 80y$

=> $\frac{y}{x} = \frac{104}{80} = \frac{13}{10}$

$\therefore$ Required % by which marked price is more than the cost price

= $\frac{13 - 10}{10} \times 100 = 30 \%$



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