Marked price and cost price of an article are in ratio 5 : 4. If the profit earned by selling the article is 12.5%, then what is the discount percentage?

M.p:c.p =5 : 4

Profit %= 12.5%

let cost price = 100

Profit of 1st article = $$\frac{12.5}{100}\times100$$

                              = 12.5   

Here 

profit= 12.5

c.p = 100

S.p =100 + 12.5

      = 112.5

Given that c.p = 4x

Assumed c.p = 100

4x = 100

x = $$\frac{100}{4}$$

    = 25

so m.p= $$5\times 25=125$$

Discount = marked price - selling price  

              = 125 - 112.5= 12.5                                

Discount percentage =$$\frac{discount}{marked\ price}\times100$$

                                   =$$\frac{12.5}{125}\times 100$$

                                   = 10$$\%$$