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

Available with Beat the GMAT members only code

• Award-winning private GMAT tutoring
Register now and save up to $200 Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code ## 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 Joined 23 Oct 2013 Posted: 22 messages Upvotes: 2 GMAT Score: 750 #### A company makes and sells two products, P and Q. 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?

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
Joined
23 Oct 2013
Posted:
22 messages
2
GMAT Score:
750
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

### GMAT/MBA Expert

GMATGuruNY GMAT Instructor
Joined
25 May 2010
Posted:
13608 messages
Followed by:
1796 members
13060
GMAT Score:
790
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.

_________________
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.

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 Scott@TargetTestPrep

Target Test Prep

227 posts
2 Brent@GMATPrepNow

GMAT Prep Now Teacher

176 posts
3 Jeff@TargetTestPrep

Target Test Prep

168 posts
4 Rich.C@EMPOWERgma...

EMPOWERgmat

138 posts
5 GMATGuruNY

The Princeton Review Teacher

129 posts
See More Top Beat The GMAT Experts