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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= 1200Step 2 (simplify): 0.5

x= 1200Step 3 (divide both sides by 0.5 to get

xby itself):x= 1200 / 0.5 = 2400Therefore, 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= 2400Step 2 (simplify): 250% of

p= 2400Step 3 (simplify): 2.5

p= 2400Step 4 (divide both sides by 2.5 to get

pby 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! 🙂