Answer:
The retail price of the mattress before discount is $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 [tex]x.[/tex]
And the discount = 50%.
Price customer paid after discount = $1200.
Thus, according to question:
[tex]x-50\%\ of\ x=1200.[/tex]
[tex]x-\frac{50}{100} \times x=1200.[/tex]
[tex]x-\frac{50x}{100}=1200.[/tex]
[tex]x-\frac{x}{2}=1200.[/tex]
[tex]\frac{2x-x}{2}=1200.[/tex]
[tex]\frac{x}{2}=1200.[/tex]
Multiplying both sides by 2 we get:
[tex]x=2400.[/tex]
Therefore, the retail price of the mattress before discount is $2400.
