Question

A department store is offering the same percentage discount on all of their shoes. Suppose one pair of shoes is marked down from $70 to $49. Based on that percentage discount, what would the new price be for a pair of shoes that originally cost $110?

A) $89.00
B) $77.00
C) $73.33
D) $33.00​

Answer 1

To find the new price of the $110 shoes with the same discount that applied to the $70 shoes, first calculate the discount percentage of 30%. Then, apply this percentage to the original price of the $110 shoes, resulting in a new price of $77.00.

Step-by-step explanation:

The student's question involves finding the new price for a pair of shoes that originally cost $110, given the same percentage discount that reduced a pair of $70 shoes to $49. To solve this, first calculate the discount percentage using the initial discounted pair of shoes. Then, apply that percentage to the $110 shoes to find the new discounted price.

First, let's find the discount percentage:

• Original price of the first pair of shoes: $70
• Discounted price of the first pair of shoes: $49
• Discount amount: $70 - $49 = $21
• Discount percentage: ($21 / $70) * 100 = 30%

Next, apply the 30% discount to the original $110 shoes:

• New price = Original price - (Discount percentage * Original price)
• New price = $110 - (30% of $110)
• New price = $110 - ($110 * 0.30)
• New price = $110 - $33
• New price = $77.00

Therefore, the new price for the shoes that originally cost $110, with the 30% discount applied, would be $77.00, which corresponds to option B).