Question

A new DVD player has a purchase price of $240. With the extended warranty, the total coast is $286. What percent of the purchase price is the price of the warranty?

A 19%
B. 24%
C29%
D. 16%

Answer 1

16 percentage

Step-by-step explanation:

purchase price of dvd player= $240

with extended warranty total cost=$286

Now,

with extended warranty, amount added to purchase price=$286-$240

=$46

Percent of purchase price to price of warranty=40/240×100

=16.67%

Answer 2

The cost of the warranty is 19.17% of the purchase price of the DVD player, so 19% (Option A) is the correct answer.

Step-by-step explanation:

To determine what percent of the purchase price is the price of the warranty for the DVD player, we need to calculate the difference between the total cost with the warranty and the purchase price. Then, we find out what percentage that difference is of the original purchase price.

• Total cost with warranty: $286
• Purchase price without warranty: $240
• Warranty cost: $286 - $240 = $46

Now to find the percentage:

Percentage of purchase price that is warranty cost = (Warranty cost ÷ Purchase price) × 100

= ($46 ÷ $240) × 100

= 0.1917 × 100

= 19.17%

Therefore, the cost of the warranty is 19.17% of the purchase price of the DVD player. When we look at the options provided, 19% (Option A) is the closest to our calculation, hence it is the correct answer.