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25 Jan 2018, 23:55
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Difficulty:

95% (hard)

Question Stats:

30% (01:23) correct 70% (02:23) wrong based on 67 sessions

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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 _________________ PS Forum Moderator Joined: 25 Feb 2013 Posts: 1142 Location: India GPA: 3.82 Martha receives an annual salary of$20,000 plus a commission of 10 pe [#permalink]

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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 Target Test Prep Representative Status: Head GMAT Instructor Affiliations: Target Test Prep Joined: 04 Mar 2011 Posts: 2570 Martha receives an annual salary of$20,000 plus a commission of 10 pe [#permalink]

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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 _________________ Jeffery Miller Head of GMAT Instruction GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions 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. PS Forum Moderator Joined: 25 Feb 2013 Posts: 1142 Location: India GPA: 3.82 Re: Martha receives an annual salary of$20,000 plus a commission of 10 pe [#permalink]

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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 Target Test Prep Representative Status: Head GMAT Instructor Affiliations: Target Test Prep Joined: 04 Mar 2011 Posts: 2570 Re: Martha receives an annual salary of$20,000 plus a commission of 10 pe [#permalink]

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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. _________________ Jeffery Miller Head of GMAT Instruction GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions Manager Joined: 11 Feb 2017 Posts: 202 Re: Martha receives an annual salary of$20,000 plus a commission of 10 pe [#permalink]

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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 Math Expert Joined: 02 Sep 2009 Posts: 46167 Re: Martha receives an annual salary of$20,000 plus a commission of 10 pe [#permalink]

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03 Feb 2018, 00:29
1
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. _________________ Manager Joined: 11 Feb 2017 Posts: 202 Re: Martha receives an annual salary of$20,000 plus a commission of 10 pe [#permalink]

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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 Senior Manager Joined: 31 Jul 2017 Posts: 368 Location: Malaysia WE: Consulting (Energy and Utilities) Re: Martha receives an annual salary of$20,000 plus a commission of 10 pe [#permalink]

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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. $$20,000 + 0.1(x - 80,000) = 30,000 + 0.05x$$ $$0.05x = 18,000$$ $$x = 360,000$$ _________________ If my Post helps you in Gaining Knowledge, Help me with KUDOS.. !! 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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