What is the discounted price of each remaining souvenir in …

Mathematics Questions

A gift shop buys souvenirs at a wholesale price of 7.00 dollars each and resells them each at a retail price that is 290% of the wholesale price. At the end of the season, any remaining souvenirs are marked at a discounted price that is 80% off the retail price. What is the discounted price of each remaining souvenir, in dollars?

Short Answer

The retail price of the souvenirs is calculated to be $20.30 after increasing the wholesale cost of $7.00 by 290%. After applying an 80% discount, the final price that customers will pay for each souvenir is $4.06.

Step-by-Step Solution

Step 1: Determine the Retail Price

First, we need to calculate the retail price of the souvenirs based on the wholesale cost. The shop buys each souvenir at a wholesale price of $7.00. To find the retail price, we increase this price by 290%. The calculation is as follows:

  • Retail Price = Wholesale Price ‚àöo 290/100
  • Retail Price = $7.00 ‚àöo 2.90
  • Retail Price = $20.30

Step 2: Calculate the Discounted Price

Once we have the retail price, we can now apply the discount to find out how much each souvenir will cost after the discount. The shop decides to offer a significant discount of 80% off the retail price:

  • Discount Amount = Retail Price ‚àöo 80/100
  • Discount Amount = $20.30 ‚àöo 0.80
  • Price After Discount = Retail Price – Discount Amount

Step 3: Find the Final Price

Lastly, we can calculate the final price after applying the discount. To find the price that customers will pay for each souvenir after the 80% discount, we subtract the discount from the retail price:

  • Price After Discount = Retail Price ‚àöo 20/100
  • Price After Discount = $20.30 ‚àöo 0.20
  • Final Price = $4.06

Related Concepts

Wholesale Price

The cost at which a retailer buys products from the manufacturer or supplier, typically lower than the retail price

Retail Price

The price at which a product is sold to consumers, calculated by adding a markup to the wholesale price

Discount

The reduction in price applied to a product, expressed as a percentage of the retail price, to encourage sales or promote special offers.

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