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easy one [#permalink] New post 21 Feb 2005, 16:06
do it!
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 [#permalink] New post 22 Feb 2005, 05:04
the prices could be
1000$/1000L=1$/L and the new price
1000$/1200L=5/6 $/L
so decrease is
1-5/6=1/6
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 [#permalink] New post 22 Feb 2005, 05:39
I think I've fallen into the trap :oops: ....why it's not 20% ?
1000/1200 ?
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 [#permalink] New post 22 Feb 2005, 05:51
the increase in volume is 20% whereas the decrease in price is 16.67%
easy but tricky :-D
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 [#permalink] New post 22 Feb 2005, 05:52
Antmavel wrote:
I think I've fallen into the trap :oops: ....why it's not 20% ?
1000/1200 ?


why should it be 20% ? as you already pointed out 1000/1200=0,83*100=83,33=100-83,33=16,67%
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 [#permalink] New post 22 Feb 2005, 07:25
Another very good question type that has high likelyhood to appear in the real test, in my opinion.

This kind of question often appears this way: If something increased by 20%, then decreased by 20%, how much is the percentage of increase/decrease when the final value is compared to the initial value?
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 [#permalink] New post 22 Feb 2005, 14:17
Suppose price for 5x10x24 box is X

So if the price to size ratio remains same price for 6x10x24 shoud be 6X/5.

However the new price for 6x10x24 is X

so the diff is X/5

%Diff is [(X/5*100)]/(6X/5) = 16.67%
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 [#permalink] New post 22 Feb 2005, 17:46
HongHu wrote:
Another very good question type that has high likelyhood to appear in the real test, in my opinion.

This kind of question often appears this way: If something increased by 20%, then decreased by 20%, how much is the percentage of increase/decrease when the final value is compared to the initial value?


Yes, i agree with you. it is very likely question.
=x-x(1.2)(0.8)=x(1-0.96)=0.04x or 4%
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 [#permalink] New post 22 Feb 2005, 20:26
thearch wrote:
the increase in volume is 20% whereas the decrease in price is 16.67%
easy but tricky :-D


I got it...
100 -> 1000$
120 should be 1200$, however it's 1000$
so decrease is (1200-1000)/ 1200 = 1/6

:wink: thanks for the help...
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 [#permalink] New post 23 Feb 2005, 01:06
initial: 5*10*20=1000 cm^3
now: 6*10*20 = 1200 cm^3

Price = x

Price per cm^3 = 1200/x and 1000/x
Difference = 200/x

% price in fruit juice went down = 200/x * x/1000 *100 = 10% ???

I looked at the solution and didnt get what you meant by size to price ratio. What's the logic behind this ratio ??
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 [#permalink] New post 23 Feb 2005, 06:10
ywilfred wrote:
initial: 5*10*20=1000 cm^3
now: 6*10*20 = 1200 cm^3

Price = x

Price per cm^3 = 1200/x and 1000/x
Difference = 200/x

% price in fruit juice went down = 200/x * x/1000 *100 = 10% ???

I looked at the solution and didnt get what you meant by size to price ratio. What's the logic behind this ratio ??


I know why you found 10%, you've made a small mistake in your calculation, the price per cm3 should be x/1200 and x/1000

let's say that the standard price is 1000$ for 1000cm3 , it goes like this :
1000/1000 and 1000/1200 ; 1 and 5/6
there is a decrease of 1/6 on the price, which means 16.6%

There is no special logic behind it, except the double meaning : increase in volume OR decrease in price -> % are not always equal... :roll:
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 [#permalink] New post 23 Feb 2005, 06:29
Fred,

My BAD, I should have put the word like this

If the Price is directly proportional to Size the price of the box 6X10X24 should be

[x/(5X10X24)]x(6X10X24) = 6x/5.

Hope it is clear now

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 [#permalink] New post 23 Feb 2005, 06:49
MA wrote:
HongHu wrote:
Another very good question type that has high likelyhood to appear in the real test, in my opinion.

This kind of question often appears this way: If something increased by 20%, then decreased by 20%, how much is the percentage of increase/decrease when the final value is compared to the initial value?


Yes, i agree with you. it is very likely question.
=x-x(1.2)(0.8)=x(1-0.96)=0.04x or 4%


:b: Decrease or increase? ;)
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 [#permalink] New post 23 Feb 2005, 18:52
Ah.. i get it now..
should be a percentage decrease, isn't ??
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 [#permalink] New post 23 Feb 2005, 21:28
HongHu wrote:
:b: Decrease or increase? ;)


=[{x (1.2) (0.8)} - x]/x
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 [#permalink] New post 23 Feb 2005, 22:55
Good job! :)
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 [#permalink] New post 25 Feb 2005, 14:24
20/120 * 100 = 1/6*100 = 16.6667%
  [#permalink] 25 Feb 2005, 14:24
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