4. A furniture store pays a wholesale price for a mattress. Then, the store marks up the retail price to 150% of the wholesale price. Later,

Question

4. A furniture store pays a wholesale price for a mattress. Then, the store marks up the retail price to 150% of the wholesale price. Later, they put the mattress on sale for 50% off of the retail price. A customer just bought the mattress on sale and paid $1,200. a. What was the retail price of the mattress, before the discount? b. What was the wholesale price, before the markup?

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Acacia 3 years 2021-08-07T01:04:22+00:00 1 Answers 275 views 0

Answers ( )

  1. thugiang
    -1
    2021-08-07T01:06:02+00:00
    Reply

    Answer (For A:

    $2400.

    Step-by-step explanation:

    Given:

    A furniture store pays a wholesale price for a mattress. Then, the store marks up the retail price to 150% of the whole price.

    Later, they put the mattress on sale for 50% off though.

    The customer just left the match is on sale and paid $1200.

    Now, to get the retail price of the mattress before the discount.

    -Let the retail price of mattress before discount be the variable x.

    -And the discount = 50%.

    -Price customer paid after discount = $1200.

    Thus, according to question:

    Step 1: 50% of x = 1200

    Step 2 (simplify): 0.5x = 1200

    Step 3 (divide both sides by 0.5 to get x by itself): x = 1200 / 0.5 = 2400

    Therefore, the retail price of the mattress before discount is $2400.

    Answer (For B):

    $960

    Step-by-step explanation:

    Given:

    The store marks up the retail price to 150% of the wholesale price.

    -Let the wholesale price be p,

    Then do:

    Step 1: (100% + 150%) of p = 2400

    Step 2 (simplify): 250% of p = 2400

    Step 3 (simplify): 2.5p = 2400

    Step 4 (divide both sides by 2.5 to get p by itself): p = 2400 / 2.5 = 960.

    Therefore, the wholesale price, before the markup was $960

    ___________________________________________________________

    I hope you understand and that this helps with your question! 🙂

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