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roger23
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The monthly commission earned by a salesperson is x percent of the 25 Apr 2024, 15:39
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79% (02:13) correct 21% (02:45) wrong based on 439 sessions

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The monthly commission earned by a salesperson is x percent of the selling price of each printer sold plus an additional $20 for each of the first 10 printers sold and $30 for each printer sold thereafter. If the salesperson earned a commission of $305 by selling 12 printers last month­ for a total selling price of $1,800, what was the value of x?

A. 1.0
B. 1.5
C. 2.0
D. 2.5
E. 3.0­
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D
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Bunuel
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The monthly commission earned by a salesperson is x percent of the 26 Apr 2024, 00:07
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delphsan
The monthly commission earned by a salesperson is x percent of the selling price of each printer sold plus an additional $20 for each of the first 10 printers sold and $30 for each printer sold thereafter. If the salesperson earned a commission of $305 by selling 12 printers last month­ for a total selling price of $1,800, what was the value of x? 

A. 1.0
B. 1.5
C. 2.0
D. 2.5
E. 3.0­
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­The salesperson earned:

  • x% of $1,800, hence $1,800*x/100
  • $20 for each of the first 10 printers sold, hence $20*10 = $200
  • $30 for each printer sold thereafter, hence $30*(12 - 10) = $60

Hence, $1,800*x/100 + $200 + $60 = $305:

$1,800*x/100 = $45

x = 45/18

x = 2.5

Answer: D
 ­
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The monthly commission earned by a salesperson is x percent of the 29 Apr 2024, 22:17
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bb , Bunuel MartyMurray, In the question it was said that total selling price is 1800$. The commission was earned on the s.p of each printer and not on the total S.P.  Kindly check the highlghted portion and the solution provided. It seems you calculated on the total s.p wherein the question asked to calculate it on each printer's s.p.  Thank you in advance ,
Bunuel

delphsan
The monthly commission earned by a salesperson is x percent of the selling price of each printer sold plus an additional $20 for each of the first 10 printers sold and $30 for each printer sold thereafter. If the salesperson earned a commission of $305 by selling 12 printers last month­ for a total selling price of $1,800, what was the value of x? 

A. 1.0
B. 1.5
C. 2.0
D. 2.5
E. 3.0­
­The salesperson earned:


x% of $1,800, hence $1,800*x/100


  • $20 for each of the first 10 printers sold, hence $20*10 = $200
  • $30 for each printer sold thereafter, hence $30*(12 - 10) = $60

Hence, $1,800*x/100 + $200 + $60 = $305:

$1,800*x/100 = $45

x = 45/18

x = 2.5

Answer: D
 ­
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The monthly commission earned by a salesperson is x percent of the 30 Apr 2024, 00:17
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sayan640
bb , Bunuel MartyMurray, In the question it was said that total selling price is 1800$. The commission was earned on the s.p of each printer and not on the total S.P.  Kindly check the highlghted portion and the solution provided. It seems you calculated on the total s.p wherein the question asked to calculate it on each printer's s.p.  Thank you in advance ,
Bunuel

delphsan
The monthly commission earned by a salesperson is x percent of the selling price of each printer sold plus an additional $20 for each of the first 10 printers sold and $30 for each printer sold thereafter. If the salesperson earned a commission of $305 by selling 12 printers last month­ for a total selling price of $1,800, what was the value of x? 

A. 1.0
B. 1.5
C. 2.0
D. 2.5
E. 3.0­
­The salesperson earned:


x% of $1,800, hence $1,800*x/100





  • $20 for each of the first 10 printers sold, hence $20*10 = $200
  • $30 for each printer sold thereafter, hence $30*(12 - 10) = $60

Hence, $1,800*x/100 + $200 + $60 = $305:

$1,800*x/100 = $45

x = 45/18

x = 2.5

Answer: D
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­You are missing a point. We are given that "The monthly commission earned by a salesperson is x percent of the selling price of each printer sold", which implies that the salesperson gets x% of (number of printers sold)(price of a printer), which in turn equals the total selling price.­
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The monthly commission earned by a salesperson is x percent of the 30 Apr 2024, 01:24
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sayan640
Why do we have to consider "total number of items" instead of taking only each item's price into consideration? 

 
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Let me ask you: you sell 12 printers, each for $150, for a total of $1,800. You get x percent of the selling price of each printer sold. How much would you get? Wouldn't it be (x/100) * 150 * 12 = x/100 * 1,800?­
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The monthly commission earned by a salesperson is x percent of the Updated on: 30 Apr 2024, 02:31
Originally posted by sayan640 on 30 Apr 2024, 02:19.
Last edited by sayan640 on 30 Apr 2024, 02:31, edited 1 time in total.
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Thank you Bunuel for clearing my doubts patiently. 
Actually the question said that x percent of s.p of each printer. Hence I considered the individual price ( S.P of each printer ).
I think it would have been clearer , if it said " x percent of the total selling price of each printer sold. " 
Thank you once again , Bunuel.
Bunuel

sayan640
Why do we have to consider "total number of items" instead of taking only each item's price into consideration? 



 
Let me ask you: you sell 12 printers, each for $150, for a total of $1,800. You get x percent of the selling price of each printer sold. How much would you get? Wouldn't it be (x/100) * 150 * 12 = x/100 * 1,800?­
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The monthly commission earned by a salesperson is x percent of the 30 Apr 2024, 02:29
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sayan640
Thank you Bunuel for clearing my doubts patiently. 
Actually the question said that x percent of s.p of each printer. Hence I considered the individual price.
I think it would have been clearer , if it said " x percent of the total selling price of each printer sold. " 
Thank you once again , Bunuel.

­
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This is an official question. Hence, the phrase "x percent of the selling price of each printer sold" is extremely precise and does not need an improvement of any sort.­
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The monthly commission earned by a salesperson is x percent of the 16 Dec 2025, 19:10
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