A shopkeeper marks up his price by 12% and then allows a 12% discount. What is his profit or loss percentage?
Let's assume the cost price is 100y.
A shopkeeper marks up his price by 12%.
Marked price = 100y of (100+12)%
=Â 100y of 112%
= $$100y \times\frac{112}{100}$$
=Â 112y
Then allows a 12% discount.
Selling price = 112y of (100-12)%
= 112y of 88%
=Â $$112y\times\frac{88}{100}$$
=Â 98.56y
Loss percentage =Â $$\frac{\left(\cos t\ price\ -selling\ price\right)}{\cos t\ price}\times100$$
=Â $$\frac{\left(100y\ -98.56y\right)}{100y}\times100$$
= $$\frac{1.44y}{100y}\times100$$
=Â 1.44%
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