Question

the marked price of an article is Rs 500. The shopkeeper gives a discount of 5%and still makes a profit of 25%.Find the cost price of the article.

Answer 1

Mark price = Rs 500
Discount = 5%
S.P = 500-5%of 500
S.P = 500-5/100*500
S.P = 475
C.P = S.P(100+ Profit %)/100
C.P = 475(100+25)/100
C.P = 475*125/100
C.P = Rs 722

Answer 2

Answer:

 $CP=\frac{100}{100+25}\times 475$

Step-by-step explanation:

Given : The marked price of an article is Rs 500. The shopkeeper gives a discount of 5%and still makes a profit of 25%.

To find : The cost price of the article?

Solution :

Marked price = Rs 500  

Discount = 5 %  

The selling price is

$D=MP\times \frac{D}{100}$

$D=500\times \frac{5}{100}$

$D=25$

$SP=MP-D$

$SP=500-25$

$SP=475$

Selling price = Rs 475

The cost price is

$CP=\frac{100}{100+P\%}\times SP$

$CP=\frac{100}{100+25}\times 475$

$CP=\frac{100}{125}\times 475$

$CP=380$

Therefore, The cost price = Rs 380