Question

A chromebook is marked with a price of $640. In a sale, a shop reduces the price to $560. (a)Calculate the reduction as a percentage of the marked price. (b) $560 is 25% more than the amount the shop paid for the chromebook. Calculate the amount the shop paid for the chromebook.​

Answer 1

Explanation:

(a) To calculate the reduction as a percentage of the marked price, we can use the formula:

Reduction Percentage = (Reduction / Marked Price) * 100

Given:

Marked Price = $640

Reduction = $640 - $560 = $80

Substituting these values into the formula:

Reduction Percentage = ($80 / $640) * 100

Reduction Percentage ≈ 12.5%

Therefore, the reduction as a percentage of the marked price is approximately 12.5%.

(b) To find the amount the shop paid for the chromebook, we can use the information that $560 is 25% more than the amount the shop paid.

Let's assume the amount the shop paid is X dollars.

25% more than X can be calculated as:

X + (25/100) * X = X + 0.25X = 1.25X

Given:

$560 = 1.25X

To find X, we can divide both sides of the equation by 1.25:

X = $560 / 1.25

X = $448

Therefore, the shop paid $448 for the chromebook.