Question 72

A shopkeeper marks up his price by 12% and then allows a 12% discount. What is his profit or loss percentage?

Solution

Let's assume the cost price is 100y.

A shopkeeper marks up his price by 12%.

Marked price = 100y of (100+12)%

= 100y of 112%

= $$100y \times\frac{112}{100}$$

= 112y

Then allows a 12% discount.

Selling price = 112y of (100-12)%

= 112y of 88%

= $$112y\times\frac{88}{100}$$

= 98.56y

Loss percentage = $$\frac{\left(\cos t\ price\ -selling\ price\right)}{\cos t\ price}\times100$$

= $$\frac{\left(100y\ -98.56y\right)}{100y}\times100$$

= $$\frac{1.44y}{100y}\times100$$

= 1.44%


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