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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$$\%$$
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