Question

The buyer needs a group of T-shirts for a special sale. He buys 40 dozen at $84/dozen, 20 dozen at $96/ dozen, and 15 dozen at $120/dozen. If he marks them all at a sale price of $18.00 each, what markup percent is realized on the merchandise?

137

likes

685 views

Answer to a math question The buyer needs a group of T-shirts for a special sale. He buys 40 dozen at $84/dozen, 20 dozen at $96/ dozen, and 15 dozen at $120/dozen. If he marks them all at a sale price of $18.00 each, what markup percent is realized on the merchandise?

$Expert avatar$

Santino

4.5

112 Answers

The buyer needs a group of T-shirts for a special sale. He buys 40 dozen at $84/dozen, 20 dozen at $96/ dozen, and 15 dozen at $120/dozen. If he marks them all at a sale price of $18.00 each, what markup percent is realized on the merchandise? To find the markup percent, we need to calculate the total cost of purchasing the T-shirts and compare it to the total revenue from selling them. Let's start by calculating the total cost of purchasing the T-shirts. The buyer buys 40 dozen at $84/dozen, which is a total cost of: $84/dozen * 40 dozen = $3360 Then, the buyer buys 20 dozen at $96/dozen, which is a total cost of: $96/dozen * 20 dozen = $1920 Finally, the buyer buys 15 dozen at $120/dozen, which is a total cost of: $120/dozen * 15 dozen = $1800 Now, let's calculate the total cost: Total Cost = $3360 + $1920 + $1800 = $7080 Next, let's calculate the total revenue from selling the T-shirts. The buyer marks all the T-shirts at a sale price of $18.00 each. To find the total revenue, we need to multiply the sale price by the total number of T-shirts. There are 40 dozen + 20 dozen + 15 dozen = 75 dozen T-shirts. Since a dozen is equal to 12, the total number of T-shirts is: 75 dozen * 12 = 900 T-shirts Now, let's calculate the total revenue: Total Revenue = $18.00/T-shirt * 900 T-shirts = $16200 The markup is the difference between the total revenue and the total cost. Markup = Total Revenue - Total Cost Markup = $16200 - $7080 = $9120 The markup percent is calculated by dividing the markup by the total cost and then multiplying by 100. Markup Percent = (Markup / Total Cost) * 100 Now, let's calculate the markup percent: Markup Percent = ($9120 / $7080) * 100 Markup Percent = 128.81% Therefore, the markup percent realized on the merchandise is 128.81%. ∴ Answer: The markup percent realized on the merchandise is 128.81%.

Frequently asked questions (FAQs)

What is the value of sin(A) if A is an acute angle in a right triangle with an opposite side of length 5 and a hypotenuse of length 13?

What is the derivative of f(x) = 5x^3 - 2x^2 + 7x + 3?

What is the length of the altitude of an isosceles triangle if the base is 12 cm?

New questions in Mathematics

If we have the sequence: 3, 6, 12, 24 Please determine the 14th term.

find the value of the tangent if it is known that the cos@= 1 2 and the sine is negative. must perform procedures.

Calculate the 6th term of PA whose 1st term is 6.5 and the ratio 5

I) Find the directional derivative of 𝑓(𝑥, 𝑦) = 𝑥 sin 𝑦 at (1,0) in the direction of the unit vector that make an angle of 𝜋/4 with positive 𝑥-axis.

what is the annual rate on $525 at 0.046% per day for 3 months?

Find all real numbers x that satisfy the equation \sqrt{x^2-2}=\sqrt{3-x}

What’s the slope of a tangent line at x=1 for f(x)=x2. We can find the slopes of a sequence of secant lines that get closer and closer to the tangent line. What we are working towards is the process of finding a “limit” which is a foundational topic of calculus.