having issue solving this question

Question

Find the discount rate on a Segway PT shown in the advertisement. Round to the nearest one percent.

original price: $5,200

reduced to: $4,450

_________%

Answer 1

The equation is: Original Price * (1 - Discount Rate) = Final Price

5200 * (1 - Discount Rate) = 4450

1 - Discount Rate = 4450 / 5200

1 - Discount Rate = .8558

Discount Rate = 1 - .8558

Discount Rate = .1442 = 14.42%

Answer 2

Hi Karen, there are a few ways to think about this problem.

First we can see what percentage the discounted price is compared to the original. To do this, we divide the discounted price by the original.

4450/5200 = 0.856 = 85.6%

This means the original was discounted by 100 - 85.6 = 14.4%

This rounds to 14%.

You could also think about it as much the discount itself is compared to the original. To do this, we first find out how much the discount was.

5200 - 4450 = 750

Then we divide the discount by the original price.

750/5200 = 0.144 = 14.4%.

This also rounds to 14%.

Both methods gives us the same answer, but are just different ways to think about the problem.

Hope this helps!

Emily