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Each week, a clothing salesperson receives a commission equal

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Each week, a clothing salesperson receives a commission equal  [#permalink]

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New post 21 Jun 2018, 09:16
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Each week, a clothing salesperson receives a commission equal to 15 percent of the first $500 in sales and 20 percent of all additional sales that week. What commission would the salesperson receive on total sales for the week of $1,300 ?

A. $195

B. $227

C. $235

D. $260

E. $335



NEW question from GMAT® Official Guide 2019


(PS07308)

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Re: Each week, a clothing salesperson receives a commission equal  [#permalink]

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New post 21 Jun 2018, 09:25
The commision that the salesperson will receive for that week is 500*0.15+(x-500)*0.2, where x is the salesperson's sales above $500. So, 500*0.15+(1300-500)*0.2=75+160=$235

The correct answer is C.
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Each week, a clothing salesperson receives a commission equal  [#permalink]

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New post 21 Jun 2018, 12:18
Bunuel wrote:
Each week, a clothing salesperson receives a commission equal to 15 percent of the first $500 in sales and 20 percent of all additional sales that week. What commission would the salesperson receive on total sales for the week of $1,300 ?

A. $195

B. $227

C. $235

D. $260

E. $335

NEW question from GMAT® Official Guide 2019


(PS07308)


The slabs for computing the commision on the sales of x are as follows:
1. 15% on the first $500 in sales. \(0.15*$500 = $75\) when x > $500
2. 20$ on the remaining amount (x - $500) where x is the total sales amount.

The total commision is \(75 + 0.20.2(x - 500) = 75 + 0.2x - 100 = 0.2x - 25\)

Given: Weekly sales of the clothing salesperson is $1300(Here, x = $1300)

Therefore, the total commission received by the clothing salesperson is \(0.2x - 25 = 260 - 25 =\) $235(Option C)
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Re: Each week, a clothing salesperson receives a commission equal  [#permalink]

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New post 22 Jun 2018, 06:51

Solution



Given:
    • A salesperson receives a commission equal to 15 percent of the first $500 in sales and 20 percent of all additional sales that week

To find:
    • The commission the salesperson received on a sale of $1300 in a week

Approach and Working:
    • Commission for first $500 sale = 15% of $500 = $75
    • Commission for the remaining sale = 20% of ($1300 - $500) = 20% of $800 = $160
    • Therefore, total commission = $75 + $160 = $235

Hence, the correct answer is option C.

Answer: C
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Each week, a clothing salesperson receives a commission equal  [#permalink]

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New post 22 Jun 2018, 09:04
Bunuel wrote:
Each week, a clothing salesperson receives a commission equal to 15 percent of the first $500 in sales and 20 percent of all additional sales that week. What commission would the salesperson receive on total sales for the week of $1,300 ?

A. $195

B. $227

C. $235

D. $260

E. $335



NEW question from GMAT® Official Guide 2019


(PS07308)

1) Amount earned on sales = $500

For the first $500 in sales (of the total $1,300 in sales), the salesperson earns 15%
\((.15*$500)=$75\)
Earned so far: $75

2) Amount earned on rest of sales = $800

Remaining sales on which she earns 20% commission? ($1,300 - $500) = $800

She earns 20% on that amount:
\((.20*$800)=$160\)
Second amount earned: $160

Total amount earned: ($75 + 160) = $235

Answer C
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Re: Each week, a clothing salesperson receives a commission equal  [#permalink]

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New post 25 Jun 2018, 11:54
Bunuel wrote:
Each week, a clothing salesperson receives a commission equal to 15 percent of the first $500 in sales and 20 percent of all additional sales that week. What commission would the salesperson receive on total sales for the week of $1,300 ?

A. $195

B. $227

C. $235

D. $260

E. $335


We can express the solution as:

0.15 x 500 + 0.2(1300 - 500) = 75 + 160 = 235

Answer: C
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Each week, a clothing salesperson receives a commission equal  [#permalink]

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New post 03 Mar 2019, 16:18
[1] Equation

Where x >= 500

500 * 15% + (x - 500) * 20%

= 75 + (x - 500) * 20%

[2] Solve

x = 1300

75 + (1300 - 500) * 20%

= 75 + 800 * 20%

= 75 + 160

= 235
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Each week, a clothing salesperson receives a commission equal   [#permalink] 03 Mar 2019, 16:18
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