GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 14 Nov 2018, 03:24

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

## Events & Promotions

###### Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar

Sell price = (1.5)(2) = $3/battery We're asked for how many dollars each battery was sold.....so we're looking for an answer that equals 3 when Q = 200... Answer A: 3Q/200 = 600/200 = 3 This IS a match Answer B: 3Q/2 = 600/2 = 300 NOT a match Answer C: 150Q = 30,000 NOT a match Answer D: Q/100 = 200/100 = 2 NOT a match Answer E: 150/Q = 150/200 = 3/4 NOT a match Final Answer: GMAT assassins aren't born, they're made, Rich _________________ 760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com # Rich Cohen Co-Founder & GMAT Assassin Special Offer: Save$75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

Manager
Joined: 21 May 2015
Posts: 236
Concentration: Operations, Strategy
GMAT 1: 750 Q50 V41
Re: A dealer originally bought 100 identical batteries at a tota  [#permalink]

### Show Tags

28 May 2015, 22:12
1
I think its easier to calculate like 1.5*q/100 = 3q/200
_________________

Apoorv

I realize that i cannot change the world....But i can play a part

EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12853
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: A dealer originally bought 100 identical batteries at a tota  [#permalink]

### Show Tags

29 May 2015, 10:01
Hi apoorv601,

One of the great things about most GMAT questions is that they can be approached in a variety of different ways. Ultimately, when dealing with any individual question, you want to know MORE than one way to answer the question AND you want to use whatever method is fastest and easiest for you. If you think that an Algebra-based approach is easiest for this prompt, then that's fine, BUT an Algebra-based approach will NOT be the easiest approach for every prompt. To deal with that contingency on Test Day, you have to be practicing other approaches now, so that you'll be flexible enough to not get 'stuck' during the actual Exam.

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

# Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/ *****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***** Director Joined: 10 Mar 2013 Posts: 512 Location: Germany Concentration: Finance, Entrepreneurship GMAT 1: 580 Q46 V24 GPA: 3.88 WE: Information Technology (Consulting) Re: A dealer originally bought 100 identical batteries at a tota [#permalink] ### Show Tags 30 May 2015, 03:56 Total Cost = Q Cost per Unit = Q/100 Sale Price = 3/2 * Q/100 = 3Q/200 (A) _________________ When you’re up, your friends know who you are. When you’re down, you know who your friends are. Share some Kudos, if my posts help you. Thank you ! 800Score ONLY QUANT CAT1 51, CAT2 50, CAT3 50 GMAT PREP 670 MGMAT CAT 630 KAPLAN CAT 660 Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 4171 Location: United States (CA) Re: A dealer originally bought 100 identical batteries at a tota [#permalink] ### Show Tags 07 Jun 2016, 09:58 2 Walkabout wrote: A dealer originally bought 100 identical batteries at a total cost of q dollars. If each battery was sold at 50 percent above the original cost per battery, then, in terms of q, for how many dollars was each battery sold? (A) 3q/200 (B) 3q/2 (C) 150q (D) q/100 (E) 150/q We are given that 100 batteries cost a TOTAL of q dollars. We are also given that EACH battery was sold at 50% above the original cost. The first thing we must do is create an equation for q. Remember that q is the TOTAL COST. So if we make b = the original cost per battery we can say: 100 x b = q b = q/100 We now have the original cost per battery in terms of q. Next, we determine the selling price when we increase the cost by 50%. To calculate this increase we simply multiply q/100 by 1.5. We have: (q/100) x 1.5 (q/100) x 3/2 = 3q/200 Answer: A If you don't like working with variables, you could instead substitute a convenient number for q. Normally I would not suggest the plugging-in method in a problem such as this; however, since we have only one variable, the method will be sufficient. Let's say we make the total cost of the 100 batteries q = 200. This is a convenient number that will work well with the numbers presented in the problem. We can now set up a similar equation to what we did above, where b = the original price per battery. 100 x b = 200 b = 200/100 b = 2 The cost per battery is$2. Now we need to show the selling price per battery by increasing $2 by 50%. 2 x 1.5 = 3 The answer 3 is the selling price of the battery. The last step is to now plug our value of q = 200 into each answer choice to see which one provides us with a value of 3. This will yield the correct answer. (A) 3q/200 (3 x 200)/200 = 3 This IS equal to 3. (B) 3q/2 (3 x 200)/2 = 600/2 = 300 This IS NOT equal to 3. (C) 150q 150 x 200 = 30,000 This IS NOT equal to 3. (D) q/100 200/100 = 2 This IS NOT equal to 3. (E) 150/q 150/200 = 15/20 = ¾ This IS NOT equal to 3. Answer choice A is the only one that is equal to 3. _________________ Scott Woodbury-Stewart Founder and CEO GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions Current Student Joined: 31 Jan 2016 Posts: 21 Schools: Rotman '19 (A) A dealer originally bought 100 identical batteries at a tota [#permalink] ### Show Tags 10 Aug 2016, 16:04 Could someone chime in and explain if this method works as well? q/100 + (q/100 * 50/100) and simplify from here. I get the following after simplification: q/100 + 50q/10000 100q/10000 + 50q/10000 150q/10000 15q/1000 (divided by 5) 3q/200 A Manager Joined: 24 Oct 2013 Posts: 141 Location: India Concentration: General Management, Strategy WE: Information Technology (Computer Software) Re: A dealer originally bought 100 identical batteries at a tota [#permalink] ### Show Tags 26 Sep 2016, 21:47 from problem stem 100 (x) = q so assume x = 2 and q = 200 50% increase => x = 3 and q = 300 substitute new q and x values in each option, Option A satisfies Manager Joined: 30 Dec 2015 Posts: 84 GPA: 3.92 WE: Engineering (Aerospace and Defense) Re: A dealer originally bought 100 identical batteries at a tota [#permalink] ### Show Tags 09 Oct 2016, 14:44 Walkabout wrote: A dealer originally bought 100 identical batteries at a total cost of q dollars. If each battery was sold at 50 percent above the original cost per battery, then, in terms of q, for how many dollars was each battery sold? (A) 3q/200 (B) 3q/2 (C) 150q (D) q/100 (E) 150/q cost price per battery = $$\frac{q}{100}$$ selling price per batter = $$1.5 * (\frac{q}{100}) = \frac{3}{2} * (\frac{q}{100}) = \frac{3q}{200}$$ _________________ If you analyze enough data, you can predict the future.....its calculating probability, nothing more! Intern Joined: 02 Mar 2018 Posts: 7 Re: A dealer originally bought 100 identical batteries at a tota [#permalink] ### Show Tags 08 Mar 2018, 16:52 BrainLab wrote: Total Cost = Q Cost per Unit = Q/100 Sale Price = 3/2 * Q/100 = 3Q/200 (A) Why we have taken sales price =3/2 ? Sent from my MI 5 using GMAT Club Forum mobile app Math Expert Joined: 02 Sep 2009 Posts: 50579 Re: A dealer originally bought 100 identical batteries at a tota [#permalink] ### Show Tags 08 Mar 2018, 19:50 Akshusaya wrote: BrainLab wrote: Total Cost = Q Cost per Unit = Q/100 Sale Price = 3/2 * Q/100 = 3Q/200 (A) Why we have taken sales price =3/2 ? Sent from my MI 5 using GMAT Club Forum mobile app We are told that each battery was sold at 50 percent above the original cost per battery: 50 percent above = times 1.5, so times 3/2. _________________ Intern Joined: 02 Mar 2018 Posts: 7 Re: A dealer originally bought 100 identical batteries at a tota [#permalink] ### Show Tags 08 Mar 2018, 19:54 Bunuel wrote: Akshusaya wrote: BrainLab wrote: Total Cost = Q Cost per Unit = Q/100 Sale Price = 3/2 * Q/100 = 3Q/200 (A) Why we have taken sales price =3/2 ? Sent from my MI 5 using GMAT Club Forum mobile app We are told that each battery was sold at 50 percent above the original cost per battery: 50 percent above = times 1.5, so times 3/2. Yes.. Thank you so much Bunuel Sent from my MI 5 using GMAT Club Forum mobile app VP Joined: 09 Mar 2016 Posts: 1062 Re: A dealer originally bought 100 identical batteries at a tota [#permalink] ### Show Tags 21 Mar 2018, 13:20 Bunuel wrote: A dealer originally bought 100 identical batteries at a total cost of q dollars. If each battery was sold at 50 percent above the original cost per battery, then, in terms of q, for how many dollars was each battery sold? (A) 3q/200 (B) 3q/2 (C) 150q (D) q/100 (E) 150/q ALGEBRAIC APPROACH: The cost of 100 batteries is q dollars, thus the cost of 1 battery is q/100 dollars. Since the selling price is 50% greater than the cost price than the selling price is q/100*1.5=q/100*3/2=3q/200. Answer: A. NUMBER PLUGGING APPROACH: Say q=$200, then the cost of 1 battery is q/100=$2. The selling price is 2*1.5=$3.

Now, plug q=200 in the answers to see which yields \$3. Only answer choice A works.

hello niks18,

q/100*1.5 this part means that selling price of each item is increaed by 50% - shouldnt 1.5q/100 be the answer? ;?

and this one q/100*3/2 what does it mean ? where from do we get 2/3 and what is it
Re: A dealer originally bought 100 identical batteries at a tota &nbs [#permalink] 21 Mar 2018, 13:20

Go to page    1   2    Next  [ 24 posts ]

Display posts from previous: Sort by