Question

A cellular phone company is having a sale. Assume that the $50 rebate is given only after the 10% discount is given. Central Mobile Phone Sale10% of new phones$50 rebate with proof of purchase if the total cost of the phone after the discount and rebate was $652, what was the original price of the phone?​

Answer 1

To find the original price of the phone after a 10% discount and $50 rebate, we can set up an equation and solve for the original price. The original price of the phone is $780.

Step-by-step explanation:

To find the original price of the phone, we can use the information given:

1. The total cost after the 10% discount and $50 rebate is $652.
2. The $50 rebate is given only after the 10% discount is given.

Let's assume the original price of the phone is 'x' dollars. After the 10% discount, the price becomes 90% of x, which is 0.9x. After deducting the $50 rebate, the price becomes 0.9x - $50. Since the total cost is $652, we can set up the equation:

0.9x - $50 = $652

Now, let's solve for x:

0.9x = $652 + $50

0.9x = $702

x = $702 / 0.9

x = $780

Therefore, the original price of the phone was $780.