Question

A supermarket offers 10% discount on the sale of hosiery items and yet earns a profit of 17% . This is possible because it marks up the price by how much %

Answer 1

It marks up the price by 30%.

Step-by-step explanation:

Since we have given that

Discount% = 10%

Profit % = 17%

So, we need to find the marked price over cost price,

So,it becomes,

$MP=\dfrac{100+P}{100-D}\times CP\\\\\dfrac{MP}{CP}=\dfrac{100+17}{100-10}=\dfrac{117}{90}$

Percentage increase in marked price from cost price is given by

$\dfrac{117-90}{90}\times 100\\\\=\dfrac{27}{90}{100}\\\\=30\%$

Hence,  it marks up the price by 30%.

# learn more:

A supermarket gives 10% discount on the marked prices of all items during a sale. Find amount of

given and sale price if marked price is $110. ($11,899)​

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