Question

A game system is originally priced at $250. It is first discounted by 25%, and then another 10% discount is applied because the box was opened by a customer. What is the sale price of the game system after both discounts, and what is the total percent discount?

A) Sale price after both discounts: $187.50; Total percent discount: 25%
B) Sale price after both discounts: $175.00; Total percent discount: 30%
C) Sale price after both discounts: $225.00; Total percent discount: 10%
D) Sale price after both discounts: $212.50; Total percent discount: 15%

Answer 1

The correct sale price of the game system after both discounts is $168.75 and the total percent discount is 32.5%. The provided options do not contain this correct set of answers.

Step-by-step explanation:

To find the sale price of the game system after both discounts, we need to apply each discount sequentially:

• First, apply the 25% discount to the original price of $250:

Original Price: $250.00

First Discount (25%): $250 x 0.25 = $62.50

Price after First Discount: $250 - $62.50 = $187.50

• Next, apply the 10% discount to the new price:

New Price after First Discount: $187.50

Second Discount (10%): $187.50 x 0.10 = $18.75

Sale Price after Both Discounts: $187.50 - $18.75 = $168.75

Next, to find the total percent discount, we need to calculate the overall reduction from the original price:

Total Discount Amount: $250 - $168.75 = $81.25

Total Percent Discount: ($81.25 / $250) x 100 = 32.5%

Therefore, neither A, B, C, nor D is correct. The answer is:

Sale price after both discounts: $168.75; Total percent discount: 32.5%