Question

the market price of an article is 500 the shopkeper give discount of 5% and still make profit of 25% find the cost price of an article

Answer 1

After discount price 
= 500-5/100*500=500-25= 475 

Now in 475 he get 25% profit
x + 25/100x= 475
x+1/4x=475
5/4x=475
x=475*4/5=380 = cost price of article

Answer 2

Marked price = Rs 500

Discount =5%

Selling price = 500-(5%of 500)

=Rs 475

Profit=25%

Cost price =(100/(100+25))×475

=Rs 380