Question

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. What the retail price of the mattress before the discount?

Answer 1

The retail price of the mattress before discount is $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
`x.`

And the discount = 50%.

Price customer paid after discount = $1200.

Thus, according to question:

`x-50\%\ of\ x=1200.`

`x-(50)/(100) * x=1200.`

`x-(50x)/(100)=1200.`

`x-(x)/(2)=1200.`

`(2x-x)/(2)=1200.`

`(x)/(2)=1200.`

Multiplying both sides by 2 we get:

`x=2400.`

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