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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,
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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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Mathematics
3 years
2021-08-07T01:04:22+00:00
2021-08-07T01:04:22+00:00 1 Answers
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Answers ( )
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
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