Math Problem Statement

Eric is looking for the best deal on an electric stove that has a wholesale price of $689. Help him compare the price of the electric stove at two different stores by completing the following: (a) Eric looks at the electric stove in a department store that marks up the electric stove's wholesale price 60%. But because of a customer loyalty program, he would receive a 20% discount off the in-store price. Ignoring tax, how much would he pay for the electric stove at this store? (b) Eric then goes to a superstore that marks up the electric stove's wholesale price 40%. But he is not a member of the superstore's customer loyalty program. He must pay the full in-store price. Ignoring tax, how much would he pay for the electric stove at this store? (c) Select the true statement: - Eric would pay less for the electric stove at the department store. - Eric would pay less for the electric stove at the superstore. - Eric would pay the same amount for the electric stove at the department store and at the superstore.

Solution

Let's solve the problem step by step.


Given Information:

  • The wholesale price of the electric stove = $689.

(a) Department store:

  • The markup on the wholesale price = 60%.
  • Eric gets a 20% discount on the in-store price.

First, calculate the in-store price before the discount: In-store price=689+(689×0.60)=689×1.60=1102.40\text{In-store price} = 689 + (689 \times 0.60) = 689 \times 1.60 = 1102.40

Now, calculate the price after the 20% discount: Price after discount=1102.40(1102.40×0.20)=1102.40×0.80=881.92\text{Price after discount} = 1102.40 - (1102.40 \times 0.20) = 1102.40 \times 0.80 = 881.92

So, Eric pays $881.92 at the department store.


(b) Superstore:

  • The markup on the wholesale price = 40%.
  • Eric does not get any discount.

Calculate the in-store price (no discount): In-store price=689+(689×0.40)=689×1.40=964.60\text{In-store price} = 689 + (689 \times 0.40) = 689 \times 1.40 = 964.60

So, Eric pays $964.60 at the superstore.


(c) True Statement:

  • At the department store, Eric pays $881.92.
  • At the superstore, Eric pays $964.60.

Therefore, the correct answer is: Eric would pay less for the electric stove at the department store.\text{Eric would pay less for the electric stove at the department store.}


Final Answers:

  • (a) $881.92
  • (b) $964.60
  • (c) Eric would pay less for the electric stove at the department store.

Do you want further explanation or have questions?
Here are 5 related questions for deeper practice:

  1. What would the price be at the department store without the loyalty program discount?
  2. If Eric had a 10% discount at the superstore, what would the final price be?
  3. What percentage difference is there between the prices at the two stores?
  4. How much would Eric save by purchasing the stove at the department store instead of the superstore?
  5. If the wholesale price increased to $700, how would that impact the prices at both stores?

Tip: When dealing with multiple percentages, apply the markup or discount step by step to avoid confusion.

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Math Problem Analysis

Mathematical Concepts

Percentage Markup
Percentage Discount
Basic Arithmetic

Formulas

In-store price = Wholesale price × (1 + Markup percentage)
Discounted price = In-store price × (1 - Discount percentage)

Theorems

-

Suitable Grade Level

Grades 6-8