The price of a package of 4 pens is $8.00. The same pens are sold at $2.50 each. If Alex bought three packages of pens rather than buying 12 pens individually, the amount he saved on 12 pens is what percent of the amount he paid?
A) 12%
B) 20%
C) 25%
D) 30%
He paid:
8 ∙ $3 = $24
If same pens are sold at $2.50 each then price of 12 pens = 12 ∙ $2,5 = $30
He saved:
$30 - $24 = $6
percent:
( $6 / $30 ) ∙ 100% = 0.2 ∙ 100% = 20%
He paid:
3 ∙ $8 = $24
To find the amount Alex saved on 12 pens by buying three packages instead of buying individually, we need to calculate the difference in cost between the two options.
The cost of buying 12 pens individually is 12 * $2.50 = $30.00.
The cost of buying three packages is 3 * $8.00 = $24.00.
To calculate the amount Alex saved, we subtract the cost of buying three packages from the cost of buying 12 pens individually: $30.00 - $24.00 = $6.00.
To find the percentage, we divide the amount saved by the amount paid and multiply by 100: ($6.00 / $30.00) * 100 = 20%.
Therefore, the amount Alex saved on 12 pens is 20% of the amount he paid.
The correct answer is B) 20%.
To find out the amount Alex saved on buying three packages of pens instead of buying 12 pens individually, we need to compare the cost of buying 12 pens individually with the cost of buying three packages of pens.
Let's first calculate the cost of buying 12 pens individually. We know that the cost of each pen is $2.50, so the total cost of buying 12 pens individually would be 12 pens * $2.50/pen = $30.00.
Now, let's calculate the cost of buying three packages of pens. Each package contains 4 pens, so buying three packages would give us a total of 3 packages * 4 pens/package = 12 pens. The cost of each package is $8.00, so the total cost of buying three packages of pens would be 3 packages * $8.00/package = $24.00.
To find the amount Alex saved, we need to find the difference between the cost of buying 12 pens individually and the cost of buying three packages of pens. The amount saved is $30.00 - $24.00 = $6.00.
Now, to find the percentage that the amount saved represents of the amount paid, we can use the formula:
Percentage = (Amount saved / Amount paid) * 100
Substituting the values we found, the percentage is (6.00 / 30.00) * 100 = 20%.
Therefore, the amount Alex saved on 12 pens is 20% of the amount he paid.
The correct answer is B) 20%.