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GMATT73 has a fruit. The weight of this fruit is 100 gram

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Director
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GMATT73 has a fruit. The weight of this fruit is 100 gram [#permalink] New post 08 Dec 2005, 08:04
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GMATT73 has a fruit. The weight of this fruit is 100 gram and the percent of containing water is 99%.

If the fruit is dried on hot condition and the percent of containing water become 98%, what is the weight of that fruit after drying?

(1) 30g
(2) 40g
(3) 50g
(4) 60g
(5) 70g
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Senior Manager
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 [#permalink] New post 08 Dec 2005, 08:28
Quote:
GMATT73 has a fruit. The weight of this fruit is 100 gram and the percent of containing water is 99%.

If the fruit is dried on hot condition and the percent of containing water become 98%, what is the weight of that fruit after drying?

(1) 30g
(2) 40g
(3) 50g
(4) 60g
(5) 70g



I don't quite understand the question. What happens when the fruit is dried? Does it lose only water or shrink to a particular weight at a certain rate? Please clarify.
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 [#permalink] New post 08 Dec 2005, 08:32
I`ve been staring at this problem for over 10 minutes. What the heck is it asking?
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 [#permalink] New post 08 Dec 2005, 08:35
Quote:
I`ve been staring at this problem for over 10 minutes. What the heck is it asking?


Maybe the intention was for you to do just that! :wink:
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 [#permalink] New post 08 Dec 2005, 08:37
GMATT73 wrote:
I`ve been staring at this problem for over 10 minutes. What the heck is it asking?


If the fruit weighing 100 gms has 99% water, when the water content is 98%, the weight should be about 99 gms.. unless the question has more components to determine what else gets effected by drying.
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 [#permalink] New post 08 Dec 2005, 08:38
yb wrote:
Quote:
I`ve been staring at this problem for over 10 minutes. What the heck is it asking?


Maybe the intention was for you to do just that! :wink:


That`s just plain cruel. :angry
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 [#permalink] New post 08 Dec 2005, 08:50
Sorry guys. Forgive me of my poor english. :-(

The OA is 50g.

-----------------------------------------------------------------
Before getting dried, the weight of the fruit is 100 gram.
Since 99% of it is water, the portion which is not water is 1 gram.

After getting dried, 98% of the fruit is water.

Now, let x be the weight of water and T be the weight of the fruit.
(T = x + 1)

(x/T) * 100 = 98%
100x = 98T
100x = 98(x + 1)
2x = 98
x = 49

T = 49 + 1 = 50
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 [#permalink] New post 08 Dec 2005, 10:31
50...(90-x)/(100-x)=98/100...solve for x !
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 [#permalink] New post 08 Dec 2005, 10:38
Very good brain teaser, gamjatang. Thank you. Nice one
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  [#permalink] 08 Dec 2005, 10:38
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GMATT73 has a fruit. The weight of this fruit is 100 gram

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