Each week, a clothing salesperson receives a commission equal

Question

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)

A. $195
B. $227
C. $235
D. $260
E. $335

(PS07308)

avigutman · Accepted Answer

Video solution from Quant Reasoning:
 https://www.youtube.com/watch?v=X0esaQiQik4

Iakovos1995 · Answer

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.

pushpitkc · Answer

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)

EgmatQuantExpert · Answer

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

generis · Answer

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

ScottTargetTestPrep · Answer

We can express the solution as:

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

Answer: C

audentes · Answer

Equation

Where x >= 500

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

= 75 + (x - 500) * 20%

Solve

x = 1300

75 + (1300 - 500) * 20%

= 75 + 800 * 20%

= 75 + 160

= 235

BijayKru · Answer

15% of 1st 500 sale = 75$
remaining ( 1300-500) $ = 800$

Now he is getting 20% of 800$ = 160$

So in total commission = 160+75= 235 $

Kinshook · Answer

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. 
15% * $500 = $75

What commission would the salesperson receive on total sales for the week of $1,300 ?
$1300 - $500 = $800
20% * $800 = $160

Total commission = $75 + $160 = $235

IMO C

Abhishek009 · Answer

\frac{15}{100}*500 + \frac{20}{100*800} = 75 + 160 = 235 , Amswer will be (C)

GMATinsight · Answer

Answer: Option C

Video solution by  GMATinsight

https://www.youtube.com/watch?v=Vd5YKXZ-ilk

MBAHOUSE · Answer

Many algebra questions at the GMAT have an equation that is the multiplication of quantity x average value.
GMAT is about to recognize patterns. The pattern recognition gives you speed.

Kimberly77 · Answer

BrentGMATPrepNow , Hi Brent, could you advise why this formula 500*0.15+(x-500)*0.2 = 1300 not getting the right answer? Thanks

BrentGMATPrepNow · Answer

I'll answer your question with another question: In your equation, 500*0.15+(x-500)*0.2 = 1300, what does x represent?

Presumably, x = the total sales, which means 500*0.15+(x-500)*0.2 represents the total commission the salesman will receive on x dollars worth of sales. 
In other words, 500*0.15+(x-500)*0.2 = the total commission the salesman will receive on x dollars worth of sales.

Since the question tells us that the salesperson had $1300 in total sales, all you need to do is replace x with 1300 in your equation. 
We get: 500*0.15 + (1300-500)*0.2 = the total commission the salesman will receive on x dollars worth of sales. 
Simplify: $75 + $160 = the total commission the salesman will receive on x dollars worth of sales. 
In other words, $235 the total commission the salesman will receive on x dollars worth of sales. 
Answer: C

Kimberly77 · Answer

Great explanation thanks  BrentGMATPrepNow , so the issue here is I've repeated total sales twice here ...

BrentGMATPrepNow · Answer

That's right. 
Once you create the equation  500*0.15 + (1300-500)*0.2 = the total commission the salesman will receive on x dollars worth of sales. , all you need to do is replace x with 1300 in your equation.

Kimberly77 · Answer

Sure thanks  BrentGMATPrepNow  and noted.

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Each week, a clothing salesperson receives a commission equal

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