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A box of varnish

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by stubbornp » Sun Oct 12, 2008 11:06 am
An empty box weighs 10 % of its total weight when filled with varnish.If the weight of a partly filled box is one-half that of a completely filled box,what fraction of the box is filled?
A.3/5
B.5/9
C.1/2
4.4/9
5.2/5
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Re: A box of varnish

by dally_gmat » Sun Oct 12, 2008 1:34 pm
Is question correct??

'An empty box weighs 10 % of its total weight when filled with varnish' This does not make sense to me...or may be I am on wrong lines..
stubbornp wrote:An empty box weighs 10 % of its total weight when filled with varnish.If the weight of a partly filled box is one-half that of a completely filled box,what fraction of the box is filled?
A.3/5
B.5/9
C.1/2
4.4/9
5.2/5
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Re: A box of varnish

by parallel_chase » Sun Oct 12, 2008 2:52 pm
stubbornp wrote:An empty box weighs 10 % of its total weight when filled with varnish.If the weight of a partly filled box is one-half that of a completely filled box,what fraction of the box is filled?
A.3/5
B.5/9
C.1/2
4.4/9
5.2/5
total weight = 100
weight of the box = 100*10% = 10
weight of the varnish when the box is fully filled = 100-10 = 90

weight of the partly filled box = 1/2 * completely filled box

completely filled box = 100
1/2 * completely filled box = 100/2 = 50

But we already know that weight of the box is 10

50-10 = 40

fraction of partly filled varnish/ fully filled varnish box = 40/90 = 4/9

It seems you have just finished problem solving from kaplan CD.

Let me know if you still have any doubts.
No rest for the Wicked....
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by stubbornp » Sun Oct 12, 2008 7:10 pm
gr8 expanations parallel_chase.....i got it....that one is from kap800....
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by bekkilyn » Mon Oct 13, 2008 9:15 am
This question isn't worded very well. It sounds like it's saying that the box weighs 100% when it's empty but only 10% when it's full of varnish, which definitely doesn't make logical sense.
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by cmoney » Sun Oct 19, 2008 12:07 pm
Agreed, I tripped up on this question because of the poor wording. Though it might be correct grammar, it's not helpful. A better way of looking at it would be that

"A full box of varnish weighs ten times as much as an empty one."
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