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Product Rejection

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Product Rejection [#permalink] New post 06 Oct 2009, 01:15
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

67% (03:35) correct 33% (09:52) wrong based on 3 sessions
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
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Re: Product Rejection [#permalink] New post 06 Oct 2009, 09:37
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IMO D 5/6

Basically you have the formula
0.8x+0.6y=0.75T

x=products jane rejected
y=products John rejected
T=total

i.e 8x+5y=7.5T
Now 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 7.5

I have seen many GMAT problem including DS where you have to plugin numbers.
consider kudos if you like the answer.
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Re: Product Rejection [#permalink] New post 06 Oct 2009, 10:47
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X - fraction of products Jane inspected
(1 - X) - fraction of products John inspected

0.8(X) + 0.5(1-X) = 0.75
0.3X = 0.75 - 0.5
X = 0.25/0.3
X = 5/6

Therefore the answer is D: 5/6.
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Re: Product Rejection [#permalink] New post 06 Oct 2009, 12:48
I never thought about solving it that way. Good idea AKProdigy87. Thanks.
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Posts: 347
Location: United States
GMAT 1: 660 Q42 V39
GMAT 2: 730 Q48 V42
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Re: Product Rejection [#permalink] New post 06 Oct 2009, 18:13
Yeah AKProdigy87 did it the exact way I did it. I'll give you kudos for that, homie.
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Re: Product Rejection [#permalink] New post 06 Oct 2009, 22:34
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
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Re: Product Rejection [#permalink] New post 06 Mar 2010, 23:07
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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/ 1/6
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 !!
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Re: Product Rejection [#permalink] New post 25 Apr 2010, 10:29
5X+8Y=.75T

substitute 1,5=6(total)

5+40=45
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One Final Try.......

Re: Product Rejection   [#permalink] 25 Apr 2010, 10:29
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