GMAT Club Forumhttps://gmatclub.com:443/forum/ Last month, John rejected 0.5% of the products that he inspected andhttps://gmatclub.com/forum/last-month-john-rejected-0-5-of-the-products-that-he-inspected-and-84879.html Page 1 of 1

 Author: swat [ 06 Oct 2009, 01:15 ] Post subject: Last month, John rejected 0.5% of the products that he inspected and Last month, John rejected 0.5% of the products that he inspected and Jane rejected 0.8 percent of the products that she inspected. If total of 0.75 percent of the products produced last month were rejected, what fraction of the products did Jane inspect?A. 1/6B. 1/2C. 5/8D. 5/6E. 15/16

 Author: AKProdigy87 [ 06 Oct 2009, 10:47 ] Post subject: Re: Last month, John rejected 0.5% of the products that he inspected and X - fraction of products Jane inspected(1 - X) - fraction of products John inspected0.8(X) + 0.5(1-X) = 0.750.3X = 0.75 - 0.5X = 0.25/0.3X = 5/6Therefore the answer is D: 5/6.

 Author: orsang8 [ 06 Oct 2009, 09:37 ] Post subject: Re: Last month, John rejected 0.5% of the products that he inspected and IMO D 5/6Basically you have the formula0.8x+0.6y=0.75Tx=products jane rejectedy=products John rejectedT=totali.e 8x+5y=7.5TNow you just need to try different number to see which one will fit here. Put x=1/6T y=5/6T (1-1/6T)you get 8(1/6)+5(5/6) = 33/6 < 7.5 does not match with 7.5 try x=5/6T y=1/6T 8(5/6)+5(1/6)=45/6=7.5 matches so thats your answer.You can plugin other numbers but it wont give you the exact 7.5I have seen many GMAT problem including DS where you have to plugin numbers. consider kudos if you like the answer.

 Author: orsang8 [ 06 Oct 2009, 12:48 ] Post subject: Re: Last month, John rejected 0.5% of the products that he inspected and I never thought about solving it that way. Good idea AKProdigy87. Thanks.

 Author: vannbj [ 06 Oct 2009, 18:13 ] Post subject: Re: Last month, John rejected 0.5% of the products that he inspected and Yeah AKProdigy87 did it the exact way I did it. I'll give you kudos for that, homie.

 Author: deepakraam [ 06 Oct 2009, 22:34 ] Post subject: Re: Last month, John rejected 0.5% of the products that he inspected and produced = 1000Rejected = 7.5John = 0.5x (1/6)Jane = 0.8y (5/6)0.005x+0.008y = 7.5x+y = 10000.005x + 0.008(1000-x) = 7.5-0.003x = 7.5-80.003x = 0.5x = 166.67So Jane inspected 5/6 of the total products

 Author: mustdoit [ 06 Mar 2010, 23:07 ] Post subject: Re: Last month, John rejected 0.5% of the products that he inspected and swat wrote:Last month, John rejected 0.5% of the products that he inspected and Jane rejected 0.8 percent of the products that she inspected. If total of 0.75 percent of the products produced last month were rejected, what fraction of the products did Jane inspect?A/ 1/6B/ 1/2C/ 5/8D/ 5/6E/ 15/16Lets be smarter...what if this is the last question and we are left with just 1 minute to do it....We knw that total rejections were .75% that means Jane would have done the bulk of rejections given that his rejection rate is .80%. clearly the options A,B and C would thus be eliminated that are around 50% mark. Now choose 1 between D and E that would atleast raise your chances of getting the solution right by 50%.No problems if you have loads of time. This can even work at that time as you have to choose and work between D and E only.Hope this helps !!

 Author: RaviChandra [ 25 Apr 2010, 10:29 ] Post subject: Re: Last month, John rejected 0.5% of the products that he inspected and 5X+8Y=.75Tsubstitute 1,5=6(total)5+40=45

 Author: tanzzt [ 07 Dec 2016, 07:02 ] Post subject: Re: Last month, John rejected 0.5% of the products that he inspected and I chose D until i assumed that Jane and John inspected all products produced last month. At my first attempt, i thought that we could not assume like that since it is not stated in the question. We may assume that the total number of Jane and John inspected is X% of all products produced last month.Is it the typical of GMAT question which requires to solve using the unclear assumption?

 Author: JeffTargetTestPrep [ 26 Feb 2018, 09:57 ] Post subject: Re: Last month, John rejected 0.5% of the products that he inspected and swat wrote:Last month, John rejected 0.5% of the products that he inspected and Jane rejected 0.8 percent of the products that she inspected. If total of 0.75 percent of the products produced last month were rejected, what fraction of the products did Jane inspect?A. 1/6B. 1/2C. 5/8D. 5/6E. 15/16We 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 + 75b5b = 25ab = 5aThus, Jane inspected b/(a + b) = 5a/6a = 5/6 of the products.Answer: D

 Author: adityasuresh [ 20 Oct 2022, 19:55 ] Post subject: Re: Last month, John rejected 0.5% of the products that he inspected and Last month, John rejected 0.5% of the products that he inspected and Jane rejected 0.8 percent of the products that she inspected. If total of 0.75 percent of the products produced last month were rejected, what fraction of the products did Jane inspect?We could use alligation methodAaverage = 0.75john = 0.5jane = 0.80.8 - $$0.75/0.75 - 0.5$$ = $$John/ Jane$$$$0.05/0.25$$ = $$1/5$$ Jane rejected $$5/5+1$$= $$5/6$$D

 Page 1 of 1 All times are UTC - 8 hours Powered by phpBB © phpBB Grouphttp://www.phpbb.com/