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?

Answer 1

Answer (For A:

$2400.

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

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

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