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umka2103 [35]
3 years ago
6

Tamara gets paid an annual salary of $48,000 and earns 4% commission on all sales she makes. If Tamara wants to make $6,000 this

month, how much in sales does she need to have?
a. $30,000
b. $50,000
c. $100,000
d. $150,000
Mathematics
1 answer:
Ronch [10]3 years ago
7 0
<span>Given that Tamara's annual salary is $48,000 means that his monthly salary is $48,000 / 12 = $4,000. For Tamara to make $6,000 this month, she needs to make an additional $2,000 from commissions in addition to her salary. Given that she earns 4% commision on all sales, let the sale she needs to make to get $2,000 be S, then 4 / 100 x S = 2000 this gives 0.04S = 2000 giving that S = 2000 / 0.04 = 50,000. Therefore, Tamara needs to make a sales of $50,000 to be able to earn $6,000 this month.</span>
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Question:

A salesperson earns commission on the sales that she makes each month.

The salesperson earns a 5% commission on the first $5,000 she has in sales.

The salesperson earns a 7.5% commission on the amount on her sales that are greater than $5,000.  

Part A:

This month the salesperson had $8,000 in sales. What amount of commission, in dollars, did she earn?

Part B:

The salesperson earned $1,375 in commission, last month. How much money, in dollars, did she have in sales last month?

Answer:

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B) The total sales amount  =  $20000

Step-by-step explanation:

<h3><u>Part A </u></h3>

Given:

Total amount earned =  $8,000 in sales

To Find :

The amount of commission, in dollars

Solution:

The commission she earns = Commission 1+ Commission 2----------(1)

Commission 1 = 5% of 5000

Commission 2  = 7.5 % of (8000- 5000}

Finding commission 1:

= 5% of 5000

= \frac{5}{100} \times 5000

= 0.05 \times 5000

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Finding commission 2:

=  7.5 % of (3000)

=\frac{7.5}{100}\times 3000

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Substituting (2) and (3) in (1)

The commission she earns = $250 + $225 = $575

<h3><u>Part B</u></h3>

Given:

Total commission earned = $1375

To Find :

The total sales amount = ?

Solution ;

Let the sales amount be x

Then

1375 = 5% of  5000 + 7.5 % of (x -5000)

1375 = 0.05 \times 5000 + 0.075 \times (x -5000)

1375 = 250 + 0.075x - 375

1375 = -125 + 0.075 x

1375 +125 = 0.075 x

1500 = 0.075x

x = \frac{1500}{0.075}

x = 20000

The total sales amount  is $20000

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Step-by-step explanation:

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