• Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep

A company makes and sells two products, P and Q.

This topic has 1 expert reply and 1 member reply
mensanumber Junior | Next Rank: 30 Posts Default Avatar
Joined
23 Oct 2013
Posted:
22 messages
Upvotes:
2
GMAT Score:
750

A company makes and sells two products, P and Q.

Post Sat Dec 12, 2015 12:57 pm
A company makes and sells two products, P and Q. The costs per unit of making and selling P and Q are $8.00 and $9.50, respectively, and the selling prices per unit of P and Q are $10.00 and $13.00, respectively. In one month the company sold a total of 834 units of these products. Was the total profit on these items more than $2,000?

(1) During the month, more units of P than units of Q were sold.
(2) During the month, at least 100 units of Q were sold.

I am usually able to solve these questions but just need to spend a lot of time more than 4 mins sometimes. I get confounded in a lot calculations and then handling the implied inequalities involved in such questions. Any tips to solve them in less than 2.5 mins?

  • +1 Upvote Post
  • Quote
  • Flag
Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
mensanumber Junior | Next Rank: 30 Posts Default Avatar
Joined
23 Oct 2013
Posted:
22 messages
Upvotes:
2
GMAT Score:
750
Top Reply
Post Mon Dec 14, 2015 10:56 pm
Thanks for your reply @GMATGuruNY. I followed the exact same steps except for in st1 instead of "Total profit = (2)(434) + (3.5)(400) = 868 + 1400 = more than 2000." I considered "(2)(418) + (3.5)(416)" and wasted a lot of time in calculations.

But my bigger problem is understanding the implied inequality. It takes me sometime to grab the direction of inequalities and then form equations. Its specific to these types of problems involving "word problems+DS+inequality" combo. I think I need more practice. Can you please suggest more similar problems? Thanks again

  • +1 Upvote Post
  • Quote
  • Flag
Top Reply
Post Sun Dec 13, 2015 3:49 am
mensanumber wrote:
A company makes and sells two products, P and Q. The costs per unit of making and selling P and Q are $8.00 and $9.50, respectively, and the selling prices per unit of P and Q are $10.00 and $13.00, respectively. In one month the company sold a total of 834 units of these products. Was the total profit on these items more than $2,000?

(1) During the month, more units of P than units of Q were sold.
(2) During the month, at least 100 units of Q were sold.
Profit for each unit of P sold = selling price - cost = 10 - 8 = 2.
Profit for each unit of Q sold = selling price = cost = 13 - 9.5 = 3.5.

Test EXTREMES.

Statement 1:
Case 1: 434 units of P and 400 units of Q are sold
Total profit = (2)(434) + (3.5)(400) = 868 + 1400 = more than 2000.

To save time, test an extreme case that still satisfies statement 2.
Case 2: 734 units of P and 100 units of Q are sold
Total profit = (2)(734) + (3.5)(100) = 1468 + 350 = less than 2000.

Case 1 satisfies BOTH statements and yields an answer of YES.
Case 2 satisfies BOTH statements and yields an answer of NO.

The correct answer is E.

_________________
Mitch Hunt
GMAT Private Tutor
GMATGuruNY@gmail.com
If you find one of my posts helpful, please take a moment to click on the "Thank" icon.
Available for tutoring in NYC and long-distance.
For more information, please email me at GMATGuruNY@gmail.com.

  • +1 Upvote Post
  • Quote
  • Flag
Thanked by: mensanumber
Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now.

Best Conversation Starters

1 lheiannie07 112 topics
2 swerve 64 topics
3 LUANDATO 64 topics
4 ardz24 61 topics
5 AAPL 57 topics
See More Top Beat The GMAT Members...

Most Active Experts

1 image description Scott@TargetTestPrep

Target Test Prep

227 posts
2 image description Brent@GMATPrepNow

GMAT Prep Now Teacher

176 posts
3 image description Jeff@TargetTestPrep

Target Test Prep

168 posts
4 image description Rich.C@EMPOWERgma...

EMPOWERgmat

138 posts
5 image description GMATGuruNY

The Princeton Review Teacher

129 posts
See More Top Beat The GMAT Experts