Question

A store pays a manufacturer $20 for a hat. To make a profit, the store prices the hat 60% higher than the amount they paid. Later, a sale reduces the price of the hat by 10%. Finally, a clearance sale reduces the sale price by 40%. What is the clearance price? Show all of your work.

Answer 1

A store pays a manufacturer $20 for a hat. To make a profit, the store prices the hat 60% higher than the amount they paid. Later, a sale reduces the price of the hat by 10%. Finally, a clearance sale reduces the sale price by 40%. What is the clearance price? Show all of your work

First, we need to calculate the price of the hat after the store priced it 60% higher than what they paid for it:

$20 * 1.6 = $32

So, the hat was priced at $32 after the store marked it up.

Next, we need to calculate the price after the first sale, which reduced the price by 10%:

$32 * (1 - 0.1) = $28.80

So, the hat was priced at $28.80 after the first sale.

Finally, we need to calculate the price after the clearance sale, which reduced the price by 40%:

$28.80 * (1 - 0.4) = $17.28

So, the clearance price of the hat is $17.28.

Answer 2

The original price is $20, and the price is raised by 60%.

To find 60% of 20, you will turn the percent into a decimal, and then multiply, and add:

0.60 * 20 = 12

20 + 12 = 32

The price is now $32.

Then the price is going down by 10%.

You convert the percent to a decimal, then you multiply, and then subtract:

0.10 times 32 = 3.2

32 - 3.2 = 28.8

The price is now $28.80.

Finaly, you are gonna subtract 40% away from 28.80

0.40 * 28.8 = 11.52

28.80 - 11.52 = 17.28

The final price is $17.28.

Explanation:

Hope it helps!

Sorry it took so long.