Math  /  Numbers & Operations

QuestionDJI manufactures the Mavic Air 2 quadcopter and offered a 5/3/25 / 3 / 2 chain discount to primary customers. Drone Nerds is a primary customer and ordered 20 Mavic Air 2's for a total $26,000\$ 26,000 list price.
Required: a. What was the net price of the quadcopters?
Note: Do not round intermediate calculations. Round your final answer to the nearest cent.
Net price b. What was the trade discount amount?
Note: Do not round intermediate calculations. Round your final answer to the nearest cent.
Trade discount

Studdy Solution

STEP 1

1. The list price of 20 Mavic Air 2 quadcopters is 26,000.<br/>2.Thechaindiscountprovidedis26,000.<br />2. The chain discount provided is 5\%,, 3\%,and, and 2\%$.
3. The net price is calculated by applying each discount sequentially to the remaining amount after the previous discount.
4. The trade discount amount is the difference between the list price and the net price.
5. All calculations should be performed without intermediate rounding, and the final results should be rounded to the nearest cent.

STEP 2

1. Calculate the price after the first discount of 5%5\%.
2. Calculate the price after the second discount of 3%3\% on the new amount.
3. Calculate the price after the third discount of 2%2\% on the new amount.
4. Determine the net price of the quadcopters.
5. Calculate the trade discount amount by subtracting the net price from the list price.

STEP 3

Calculate the price after the first discount of 5%5\%.
The first discount amount is: First discount amount=$26000×5100=$1300 \text{First discount amount} = \$26000 \times \frac{5}{100} = \$1300
The new price after the first discount is: Price after first discount=$26000$1300=$24700 \text{Price after first discount} = \$26000 - \$1300 = \$24700

STEP 4

Calculate the price after the second discount of 3%3\% on the new amount.
The second discount amount is: Second discount amount=$24700×3100=$741 \text{Second discount amount} = \$24700 \times \frac{3}{100} = \$741
The new price after the second discount is: Price after second discount=$24700$741=$23959 \text{Price after second discount} = \$24700 - \$741 = \$23959

STEP 5

Calculate the price after the third discount of 2%2\% on the new amount.
The third discount amount is: Third discount amount=$23959×2100=$479.18 \text{Third discount amount} = \$23959 \times \frac{2}{100} = \$479.18
The new price after the third discount is: Price after third discount=$23959$479.18=$23479.82 \text{Price after third discount} = \$23959 - \$479.18 = \$23479.82

STEP 6

Determine the net price of the quadcopters.
The net price is: Net price=$23479.82 \text{Net price} = \$23479.82

STEP 7

Calculate the trade discount amount by subtracting the net price from the list price.
The trade discount amount is: Trade discount amount=$26000$23479.82=$2520.18 \text{Trade discount amount} = \$26000 - \$23479.82 = \$2520.18
The net price of the quadcopters is \$23479.82.
The trade discount amount is \$2520.18.

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