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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 ## Last month, John rejected 0.5% of the products that... tagged by: BTGmoderatorLU ##### This topic has 3 expert replies and 0 member replies ### Top Member ## Last month, John rejected 0.5% of the products that... Last month, John rejected 0.5% of the products that he inspected and Jane rejected 0.8% of the product that she inspected. If a total of 0.75% of the products produced last month were rejected, what fraction of the products did Jane inspected? A. 1/6 B. 1/2 C. 5/8 D. 5/6 E. 15/16 The OA is D. I'm confused by this PS question. Experts, any suggestion about how to solve it? Thanks in advance. ### GMAT/MBA Expert Legendary Member Joined 14 Jan 2015 Posted: 2666 messages Followed by: 125 members Upvotes: 1153 GMAT Score: 770 Top Reply LUANDATO wrote: Last month, John rejected 0.5% of the products that he inspected and Jane rejected 0.8% of the product that she inspected. If a total of 0.75% of the products produced last month were rejected, what fraction of the products did Jane inspected? A. 1/6 B. 1/2 C. 5/8 D. 5/6 E. 15/16 The OA is D. I'm confused by this PS question. Experts, any suggestion about how to solve it? Thanks in advance. Plot the relevant figures on a number line .5------------.75----.8 Gap-----.25----.05--- So the ratio of Jane's inspections to John's inspections is .25/.05 = 25/5 = 5/1. (The average is much closer to Jane than John, so we know that she did a disproportionate number of the inspections.) Call Jane's inspections: 5x Call John's inspections: x Total: 6x Jane/Total = 5x/6x = 5/6. The answer is D _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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LUANDATO wrote:
Last month, John rejected 0.5% of the products that he inspected and Jane rejected 0.8% of the product that she inspected. If a total of 0.75% of the products produced last month were rejected, what fraction of the products did Jane inspected?

A. 1/6
B. 1/2
C. 5/8
D. 5/6
E. 15/16

The OA is D.

I'm confused by this PS question. Experts, any suggestion about how to solve it? Thanks in advance.
Alternatively, you could use more conventional algebra.
If Jane inspected "A" items, she'd have rejected .8A
If John inspected "N" items he'd have rejected .5N
Total rejections: .8A + .5N

Total items inspected: A + N
If 75% of the total were rejected, then: .75(A + N) = .8A + .5N

.75A + .75N = .8A + .5N
.25N = .05A
.25/.05 = A/N
5/1 = A/N
If for every 5 items Jane inspects, John inspects 1, then Jane would inspect 5 out of every 6 items. The answer is D

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Save $100 off any live Veritas Prep GMAT Course Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now! ### GMAT/MBA Expert GMAT Instructor Joined 09 Apr 2015 Posted: 1465 messages Followed by: 19 members Upvotes: 39 LUANDATO wrote: Last month, John rejected 0.5% of the products that he inspected and Jane rejected 0.8% of the product that she inspected. If a total of 0.75% of the products produced last month were rejected, what fraction of the products did Jane inspected? A. 1/6 B. 1/2 C. 5/8 D. 5/6 E. 15/16 We can let the number of products inspected by John = a and the number inspected by Jane = b and create the equation: 0.005a + 0.008b = 0.0075(a + b) 50a + 80b = 75a + 75b 5b = 25a b = 5a Thus, Jane inspected b/(a + b) = 5a/6a = 5/6 of the products. Answer: D _________________ Jeffrey Miller Head of GMAT Instruction jeff@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE 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 • Award-winning private GMAT tutoring Register now and save up to$200

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