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A discount on the marked price of a pair of shoes is 10% for that shopkeeper incurred a loss of 1% on cost price. Find that the marked price is what percent more than the cost price of shoes.

A discount on the marked price of a pair of shoes is 10% for that shopkeeper incurred a loss of 1% on cost price. Find that the marked price is what percent more than the cost price of shoes. Correct Answer 10%

Given

Discount on pair of shoes = 10%

Loss after discount = 1%

Formula used

Marked price × (100 – percentage discount) = Cost price × (100 – percentage loss)

Calculation

According to question

⇒ Marked price × (100 – 10) = Cost price × (100 – 1)

⇒ Marked price / Cost price = 99 / 90

Required Percentage = × 100

⇒ (9 / 90) × 100

⇒ 10%

∴ The required percentage difference is 10%.

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