Question

A cellular phone company is having a sale. Assume that the $50 rebate is given only after the 10% discount is given. If the total cost of the phone after the discount and the rebate was $652, what was the original price of the phone?

a. $720
b. $725
c. $729
d. $730

Answer 1

By working backwards from the final cost of $652 after a 10% discount and a $50 rebate, we find that the original price of the phone was $780, which is not one of the provided options. There may be a mistake in the provided question or options.

Step-by-step explanation:

To find the original price of the phone, we can work backwards from the final cost after the discount and rebate. The final cost of the phone is $652 after a 10% discount and a $50 rebate. Let's use x to represent the original price of the phone.

First, we calculate the price after the 10% discount, which would be 90% of the original price, or 0.9 * x. Then, we know the rebate of $50 is applied afterwards:

• 0.9 * x - $50 = $652

We solve for x:

• 0.9 * x = $652 + $50
• 0.9 * x = $702
• x = $702 / 0.9
• x = $780

Therefore, the original price of the phone was $780, which is not listed as an option in the provided choices. It seems there might be a mistake either in the question or the choices given.