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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 ?
- A20%
- B15%
- C40%
- D25%
Answer not set
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0
CCommunity
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
= $\frac{13 - 10}{10} \times 100 = 30 \%$
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
= $\frac{13 - 10}{10} \times 100 = 30 \%$
0
CCommunity
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
= $\frac{13 - 10}{10} \times 100 = 30 \%$
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
= $\frac{13 - 10}{10} \times 100 = 30 \%$