Question

The table below shows the earnings, in thousands of dollars, for three different commissioned employees. $2,000 3% on all sales 7% on all sales 5% on the first $40,000 8% on anything over $40,000 December 4. 4 5. 6 5. 2 January 2003. 5 3. 85 3. 6 February 2004. 7 4. 9 4. 4 Who had the largest dollar amount in sales for the month of December? a. The salary plus commission employee. B. The straight commission employee. C. The graduated commission employee. D. They each had the same dollar amount in sales. Please select the best answer from the choices provided A B C D.

Answer 1

The employee who had the largest dollar amount in sales for the month of December is: Option A: The salary plus commission employee.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

$\dfrac{a}{100} \times b$

The missing table for this problem is attached below.

The total income of employees in a specific month are:

• For X: $2000 + 3% of all sales X does in that specific month
• For Y: 7% of all sales Y does  in that specific month
• For Z: 5% of all sales Z does in that specific month

For the given case, we need their total amount for the month of December.

• Case 1: Total amount in dollars for X, in December month:

Sales X did in December = $4400

Thus, total amount  X  got in month of December =

$2000  + 3% of $4400

3% of 4400 is $\dfrac{4400}{100} \times 3 = 132$ (in dollars)

Thus,  total amount  X  got in month of December = $2000 + $132 = $2,132

• Case 2: Total amount in dollars for Y, in December month:

Sales Y did in December = $5600

Thus, total amount  Y  got in month of December =

7% of $5600

7% of 5600 is $\dfrac{5600}{100} \times 7 = 392$ (in dollars)

Thus,  total amount  Y  got in month of December = $392

• Case 3: Total amount in dollars for Z, in December month:

Sales Z did in December = $4400

Thus, total amount  Z  got in month of December =

$2000  + 3% of $5200

5% of 5200 is $\dfrac{5200}{100} \times 6 = 312$ (in dollars)

Thus,  total amount  Z got in month of December = $312

Thus, X gets largest dollar amount in December month. X gets salary + commission, so, the employee who had the largest dollar amount in sales for the month of December is: Option A: The salary plus commission employee.

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