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Martha receives an annual salary of $20,000 plus a commission of 10 pe

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Martha receives an annual salary of $20,000 plus a commission of 10 pe  [#permalink]

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New post 25 Jan 2018, 23:55
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Question Stats:

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Martha receives an annual salary of $20,000 plus a commission of 10 percent on sales in excess of $80,000 while Sandra receives an annual salary of $30,000 plus a 5 percent commission on her total annual sales only if they exceed $120,000. Which sales figures would result in equal earnings for both Marta and Sandra?

A. $100,000
B. $150,000
C. $240,000
D. $360,000
E. $400,000

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Martha receives an annual salary of $20,000 plus a commission of 10 pe  [#permalink]

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New post 26 Jan 2018, 00:48
Bunuel wrote:
Martha receives an annual salary of $20,000 plus a commission of 10 percent on sales in excess of $80,000 while Sandra receives an annual salary of $30,000 plus a 5 percent commission on her total annual sales only if they exceed $120,000. Which sales figures would result in equal earnings for both Marta and Sandra?

A. $100,000
B. $150,000
C. $240,000
D. $360,000
E. $400,000


Let \(S\) be the sale when both the salaries are equal

so we have \(20000+10\)%\(*(S-80000)=30000+5\)%\(*S\)

Solving we get \(S=360000\)

Option D
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Martha receives an annual salary of $20,000 plus a commission of 10 pe  [#permalink]

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New post Updated on: 29 Jan 2018, 12:02
Bunuel wrote:
Martha receives an annual salary of $20,000 plus a commission of 10 percent on sales in excess of $80,000 while Sandra receives an annual salary of $30,000 plus a 5 percent commission on her total annual sales only if they exceed $120,000. Which sales figures would result in equal earnings for both Marta and Sandra?

A. $100,000
B. $150,000
C. $240,000
D. $360,000
E. $400,000


We can create the following equation in which n = total sales:

20,000 + 0.1(n - 80,000) = 30,000 + 0.05n

0.1n - 8,000 = 10,000 + 0.05n

0.05n = 18,000

n = 18,000/.05 = 360,000

Answer: C
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Originally posted by JeffTargetTestPrep on 29 Jan 2018, 11:01.
Last edited by JeffTargetTestPrep on 29 Jan 2018, 12:02, edited 1 time in total.
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Re: Martha receives an annual salary of $20,000 plus a commission of 10 pe  [#permalink]

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New post 29 Jan 2018, 11:56
JeffTargetTestPrep wrote:
Bunuel wrote:
Martha receives an annual salary of $20,000 plus a commission of 10 percent on sales in excess of $80,000 while Sandra receives an annual salary of $30,000 plus a 5 percent commission on her total annual sales only if they exceed $120,000. Which sales figures would result in equal earnings for both Marta and Sandra?

A. $100,000
B. $150,000
C. $240,000
D. $360,000
E. $400,000


We can create the following equation in which n = total sales:

20,000 + 0.1(n - 80,000) = 30,000 + 0.05(n -120,000)

0.1n - 8,000 = 10,000 + 0.05n - 6,000

0.05n = 12,000

n = 12,000/.05 = 1,200,000/5 = 240,000

Answer: C


Hi JeffTargetTestPrep

5% commission is on total sales. So the second equation should be 0.5n

Posted from my mobile device
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Re: Martha receives an annual salary of $20,000 plus a commission of 10 pe  [#permalink]

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New post 29 Jan 2018, 12:02
niks18 wrote:
JeffTargetTestPrep wrote:
Bunuel wrote:
Martha receives an annual salary of $20,000 plus a commission of 10 percent on sales in excess of $80,000 while Sandra receives an annual salary of $30,000 plus a 5 percent commission on her total annual sales only if they exceed $120,000. Which sales figures would result in equal earnings for both Marta and Sandra?

A. $100,000
B. $150,000
C. $240,000
D. $360,000
E. $400,000


We can create the following equation in which n = total sales:

20,000 + 0.1(n - 80,000) = 30,000 + 0.05(n -120,000)

0.1n - 8,000 = 10,000 + 0.05n - 6,000

0.05n = 12,000

n = 12,000/.05 = 1,200,000/5 = 240,000

Answer: C


Hi JeffTargetTestPrep

5% commission is on total sales. So the second equation should be 0.5n

Posted from my mobile device


Good call!

My solution has been amended.
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Re: Martha receives an annual salary of $20,000 plus a commission of 10 pe  [#permalink]

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New post 03 Feb 2018, 00:22
Bunuel wrote:
Martha receives an annual salary of $20,000 plus a commission of 10 percent on sales in excess of $80,000 while Sandra receives an annual salary of $30,000 plus a 5 percent commission on her total annual sales only if they exceed $120,000. Which sales figures would result in equal earnings for both Marta and Sandra?

A. $100,000
B. $150,000
C. $240,000
D. $360,000
E. $400,000


I understood the equation methodology but If I do it simply by calculating then why is C coming out as an answer?

Let C = 240, 000 be an answer

for Martha = 20,000 + (10/100 ) * (240,000 - 80,000)

= 36,000

for Sandra = 30,000 + (5/100) * (240,000 - 120,000)

= 36,000


THEN WHY IS C wrong? please help
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Re: Martha receives an annual salary of $20,000 plus a commission of 10 pe  [#permalink]

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New post 03 Feb 2018, 00:29
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rocko911 wrote:
Bunuel wrote:
Martha receives an annual salary of $20,000 plus a commission of 10 percent on sales in excess of $80,000 while Sandra receives an annual salary of $30,000 plus a 5 percent commission on her total annual sales only if they exceed $120,000. Which sales figures would result in equal earnings for both Marta and Sandra?

A. $100,000
B. $150,000
C. $240,000
D. $360,000
E. $400,000


I understood the equation methodology but If I do it simply by calculating then why is C coming out as an answer?

Let C = 240, 000 be an answer

for Martha = 20,000 + (10/100 ) * (240,000 - 80,000)

= 36,000

for Sandra = 30,000 + (5/100) * (240,000 - 120,000)

= 36,000


THEN WHY IS C wrong? please help


Check the highlighted part: 5% from TOTAL annual sales.

For 240, 000 Sandra gets 30,000 + (5/100)*240,000 = 42,000.
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Re: Martha receives an annual salary of $20,000 plus a commission of 10 pe  [#permalink]

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New post 03 Feb 2018, 00:34
Bunuel wrote:
rocko911 wrote:
Bunuel wrote:
Martha receives an annual salary of $20,000 plus a commission of 10 percent on sales in excess of $80,000 while Sandra receives an annual salary of $30,000 plus a 5 percent commission on her total annual sales only if they exceed $120,000. Which sales figures would result in equal earnings for both Marta and Sandra?

A. $100,000
B. $150,000
C. $240,000
D. $360,000
E. $400,000


I understood the equation methodology but If I do it simply by calculating then why is C coming out as an answer?

Let C = 240, 000 be an answer

for Martha = 20,000 + (10/100 ) * (240,000 - 80,000)

= 36,000

for Sandra = 30,000 + (5/100) * (240,000 - 120,000)

= 36,000


THEN WHY IS C wrong? please help


Check the highlighted part: 5% from TOTAL annual sales.

For 240, 000 Sandra gets 30,000 + (5/100)*240,000 = 42,000.


Thanks ...i totally ignored that part...got it now
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Re: Martha receives an annual salary of $20,000 plus a commission of 10 pe  [#permalink]

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New post 03 Feb 2018, 07:06
Bunuel wrote:
Martha receives an annual salary of $20,000 plus a commission of 10 percent on sales in excess of $80,000 while Sandra receives an annual salary of $30,000 plus a 5 percent commission on her total annual sales only if they exceed $120,000. Which sales figures would result in equal earnings for both Marta and Sandra?

A. $100,000
B. $150,000
C. $240,000
D. $360,000
E. $400,000


Let \(x\)be the total sales.

\(20,000 + 0.1(x - 80,000) = 30,000 + 0.05x\)

\(0.05x = 18,000\)

\(x = 360,000\)
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Re: Martha receives an annual salary of $20,000 plus a commission of 10 pe   [#permalink] 03 Feb 2018, 07:06
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