Make big profit

Tillo L asked:


During a sale, a shopkeeper reduced the advertised selling price of a dress by 20%, resulting in a profit of 4% over her cost of the dress. What percentage of profit would the shopkeeper have made if she had sold the dress at the original selling price?

Category: Mathematics by admin

One Response to “What percentage of profit would the shopkeeper have made if she had sold the dress at the original selling pri?”

1. michiko_chand, on December 3rd, 2008 at 5:53 pm Said:

   Let the original advertised selling price of the dress be x.

   He reduced the price by 20% which is (20/100)x

   So he sold the dress at x-(20/100)x=0.8x

   Now he made a profit of 4%.

   Let the cost of the dress for the shopkeeper be y

   Hence percentage profit= [(Selling Price - Cost price)/cost price]*100
   or 4= [(0.8x-y)/y]*100
   or 4 = (80x-100y)/y
   or 4y=80x-100y
   or 80x=104y
   or 10x=13y
   or y = 10x/13

   Now if he had sold it at original price x, his profit would have been

   [(x-y)/y]* 100

   we know y = 10x/13

   Hence profit = (x-10x/13)/ (10x/13) * 100
   = (3/10)*100
   =30%

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