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

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 $x.$

And the discount = 50%.

Price customer paid after discount = $1200.

Thus, according to question:

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

$x-\frac{50}{100} \times x=1200.$

$x-\frac{50x}{100}=1200.$

$x-\frac{x}{2}=1200.$

$\frac{2x-x}{2}=1200.$

$\frac{x}{2}=1200.$

Multiplying both sides by 2 we get:

$x=2400.$

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