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Maths Puzzle
Fresh grapes contain 90% water when they are dried they turn into resins containing 20% water . Find how many kg of resins can be obtained from 20kg of fresh grapes
Read Solution (Total 4)
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- 2.5 kg
In 100 kg fresh grapes , we have 90 kg water and 10 kg solid material.
From 100 kg fresh grapes, we get 10 kg solid material as such with 2.5 kg water which is 20% of 12.5 kg resins.
so from 20 kg fresh grapes, we get 20* 12.5/100 = 2.5 kg resin - 13 years agoHelpfull: Yes(9) No(5)
- same pattern :
Fresh grapes contain 90% of their wt as water, alrite. so wt of water in fresh 20 kg grape would be:
( 20/100) * 90 = 18 kg.
So the dry wt of grapes is 2 kg. This dry wt is not going to go watever you do with it.
now what would be the wt of dried grapes which contain 20% of water by wt?
suppose the total wt of dry grapes is W...
W= dry weight of grapes + 20% of W
=> W = 2kg + (W/100) * 20
=> W =2 kg + W/5
=> 2kg = W - W/5 = (5W - W)/5
=> 4W/5 = 2kg
=> W =(2*5)/4 =5/2 kg i.e. 2.5 kg
now the waight of water in dry grapes is 20 % of total weight which is 2.5 kg, so the wt of water would be:
wt of water= 20% of W= (W/100) * 20 = W/5 = 2.5/5 =(5/2)/5 = 5/ (2*5) = 5/10 = 0.5 kg
so the wt of water in dry grapes would be 0.5 kg...
I know this will help...
Source(s):
http://Mayajaal.co.cc - 12 years agoHelpfull: Yes(0) No(2)
- 20*10/80= 25 kg..
From one grave we can get 1/8 resin as one grape contains 10% of what resin needs 80%. - 8 years agoHelpfull: Yes(0) No(0)
- There was a calculation mistake in the previous one.
10*20/80= 2.5 - 8 years agoHelpfull: Yes(0) No(0)
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