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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## profit and loss ##### This topic has 2 expert replies and 2 member replies ## profit and loss ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult By selling oranges at$p for 1.66 dozen , a vendor makes a profit of r%. If he had bought them at the rate of q for $12, what does 5pq-12r equal ? A 12 B 120 C 240 D 1200 E 2400 ### Top Member Legendary Member Joined 02 Mar 2018 Posted: 786 messages Followed by: 1 members 1.66 Dozen = 1.66 * 12 Pp = 19.92 Oranges. $$\Pr ofit\ of\ r\text{}\%\ =\ \frac{1}{100}$$ 5pq , rate of q = %12 5pq - 12r = ?? $$5\left(19.92\ \cdot\ 12\ \right)\ \frac{\left(-12r\right)}{100}\ =\ x$$ $$5\ \cdot\ 239.04\ \frac{-12r}{100}\ =\ x$$ $$\frac{\left(1195.2\ -\ 12\right)r}{100}=\ x$$ $$\ x\ =\ \frac{183.2}{100}r$$ x = 11.832 x = 12 Option A is the correct answer. Master | Next Rank: 500 Posts Joined 15 Oct 2009 Posted: 321 messages Upvotes: 27 vaibhav101 wrote: By selling oranges at$p for 1.66 dozen , a vendor makes a profit of r%. If he had bought them at the rate of q for $12, what does 5pq-12r equal ? A 12 B 120 C 240 D 1200 E 2400 1.66 dozen = (5/3) x 12 = 20 oranges. Pick a total price P so that price per orange is nice, say$20, so $1 per orange. Pick a cost per orange that generates a nice profit, say 100%. A cost per orange of$.50 should work, but let's check:

r% = 100x($1-$.50)/$0.50 = 100 x 1 = 100 Since he paid$12 for q oranges, the cost per orange is $12/q =$0.50. Therefore, q=24 oranges

Substitute these values into 5pq-12r = (5)(20)(24) - (12)(100) = 2400-1200 = D, 1200

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vaibhav101 wrote:
By selling oranges at $p for 1.66 dozen , a vendor makes a profit of r%. If he had bought them at the rate of q for$12, what does 5pq-12r equal ?
A 12
B 120
C 240
D 1200
E 2400
Since 1.66 dozen = 5/3 x 12 = 20, the vender sells 20 oranges for $p and he bought them at a rate of q oranges for$12. So he sells them for p/20 dollars each and bought them for 12/q dollar each. Since the the profit is r%, we have:

p/20 - 12/q = r/100 x 12/q

p/20 - 12/q = 12r/(100q)

Multiplying the equation by 100q, we have:

5pq - 1200 = 12r

5pq - 12r = 1200

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vaibhav101 wrote:
By selling oranges at $p for 1.66 dozen , a vendor makes a profit of r%. If he had bought them at the rate of q for$12, what does 5pq-12r equal ?
A 12
B 120
C 240
D 1200
E 2400
Let r=0, implying that no profit is made and that the oranges are sold at cost.

Let q=12, implying that the cost for 12 oranges is $12, with the result that the cost per orange =$1.
1.66 dozen = (5/3)(12) = 20 oranges.
Since the cost for 20 oranges = $20, p=20. Thus: 5pq - 12r = (5*20*12) - (12*0) = 1200. The correct answer is D. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 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. • Free Veritas GMAT Class Experience Lesson 1 Live Free 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 • FREE GMAT Exam Know how you'd score today for$0

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