Last visit was: 13 Jul 2025, 07:54 It is currently 13 Jul 2025, 07:54
Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
User avatar
swat
Joined: 24 Sep 2009
Last visit: 29 Oct 2009
Posts: 14
Own Kudos:
42
 [14]
Posts: 14
Kudos: 42
 [14]
2
Kudos
Add Kudos
12
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
AKProdigy87
Joined: 11 Sep 2009
Last visit: 11 Mar 2015
Posts: 80
Own Kudos:
1,102
 [11]
Given Kudos: 6
Posts: 80
Kudos: 1,102
 [11]
7
Kudos
Add Kudos
4
Bookmarks
Bookmark this Post
General Discussion
User avatar
orsang8
Joined: 08 Nov 2005
Last visit: 26 Oct 2010
Posts: 137
Own Kudos:
39
 [3]
Given Kudos: 10
Posts: 137
Kudos: 39
 [3]
3
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
orsang8
Joined: 08 Nov 2005
Last visit: 26 Oct 2010
Posts: 137
Own Kudos:
Given Kudos: 10
Posts: 137
Kudos: 39
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I never thought about solving it that way. Good idea AKProdigy87. Thanks.
User avatar
vannbj
Joined: 18 Sep 2009
Last visit: 04 Oct 2015
Posts: 249
Own Kudos:
267
 [1]
Given Kudos: 17
Status:Yeah well whatever.
Location: United States
GMAT 1: 660 Q42 V39
GMAT 2: 730 Q48 V42
GPA: 3.49
WE:Analyst (Insurance)
GMAT 2: 730 Q48 V42
Posts: 249
Kudos: 267
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Yeah AKProdigy87 did it the exact way I did it. I'll give you kudos for that, homie.
User avatar
deepakraam
Joined: 15 Sep 2009
Last visit: 27 Oct 2011
Posts: 54
Own Kudos:
53
 [1]
Given Kudos: 2
Posts: 54
Kudos: 53
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
produced = 1000
Rejected = 7.5

John = 0.5x (1/6)
Jane = 0.8y (5/6)

0.005x+0.008y = 7.5
x+y = 1000

0.005x + 0.008(1000-x) = 7.5
-0.003x = 7.5-8


0.003x = 0.5
x = 166.67


So Jane inspected 5/6 of the total products
User avatar
mustdoit
Joined: 18 Feb 2010
Last visit: 23 Feb 2011
Posts: 102
Own Kudos:
718
 [1]
Concentration: Finance
Schools:ISB
 Q44  V28 GMAT 2: 620  Q51  V23
Posts: 102
Kudos: 718
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
swat
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/ 1/6
B/ 1/2
C/ 5/8
D/ 5/6
E/ 15/16


Lets 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 !!
User avatar
RaviChandra
Joined: 02 Oct 2009
Last visit: 06 Feb 2023
Posts: 307
Own Kudos:
Given Kudos: 412
GMAT 1: 530 Q47 V17
GMAT 2: 710 Q50 V36
WE:Business Development (Consulting)
Products:
GMAT 2: 710 Q50 V36
Posts: 307
Kudos: 4,113
Kudos
Add Kudos
Bookmarks
Bookmark this Post
5X+8Y=.75T

substitute 1,5=6(total)

5+40=45
avatar
tanzzt
Joined: 02 Feb 2014
Last visit: 02 Nov 2018
Posts: 35
Own Kudos:
Given Kudos: 55
GPA: 3.33
Products:
Posts: 35
Kudos: 53
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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?
User avatar
JeffTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 04 Mar 2011
Last visit: 05 Jan 2024
Posts: 2,996
Own Kudos:
7,925
 [3]
Given Kudos: 1,646
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Expert
Expert reply
Posts: 2,996
Kudos: 7,925
 [3]
2
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
swat
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. 1/6
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
User avatar
adityasuresh
Joined: 03 May 2020
Last visit: 08 May 2025
Posts: 107
Own Kudos:
44
 [1]
Given Kudos: 512
Posts: 107
Kudos: 44
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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 method

Aaverage = 0.75
john = 0.5
jane = 0.8
0.8 - \(0.75/0.75 - 0.5\) = \(John/ Jane\)
\(0.05/0.25\) = \(1/5\)
Jane rejected \(5/5+1 \)= \(5/6\)

D
User avatar
JhonnyMe
Joined: 07 Dec 2024
Last visit: 12 Jul 2025
Posts: 15
Own Kudos:
8
 [1]
Given Kudos: 124
Products:
Posts: 15
Kudos: 8
 [1]
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Felt the solution can be arrived faster with allegations method.

By method of allegation:
Jane:80Jane Ratio: 75-50 = 25
Desired value: 75
John50John Ratio: 80-75 = 5
Note: Multiplied Jane and John's percentage by 100 for ease of calculation

Therefore,
Jane : John :: 25:5
Or
Jane: John:: 5:1

Hence, Jane did = 1/6

Hope this makes sense.
Moderators:
Math Expert
102638 posts
PS Forum Moderator
690 posts