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Percentages Increase [#permalink] New post 20 Jul 2013, 19:17
Please can anyone help me with my following query. I am very confused

Number x has increased by 100% ??
Number x has increased by a factor of 20 ??
Number x has decreased by a factor of 15??
Number x has an increase of 100% ??
Number x has increased to y ??
Number x has increased by y ??

What will be the value of x in each of above 6 cases.
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Re: Percentages Increase [#permalink] New post 20 Jul 2013, 22:46
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Number x has increased by 100% ??
=> X as doubled 10->20
Number x has increased by a factor of 20 ??
=> x has increased by 1,2,4,5,10,20. I do not know if this is a percentage increase(+20%) or a multiplication(x20) or a sum(+20); I think that the latter should be correct.
Number x has decreased by a factor of 15??
=> x has decreased by 1,3,5,15, same as above
Number x has an increase of 100% ??
=> same as the first one
Number x has increased to y ??
=> example x=5, y=7; x has increased to y==> x=7
Number x has increased by y ??
=> example x=5, y=7; x has increased by y==> x=5+7=12

Hope this makes sense :)
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Re: Percentages Increase [#permalink] New post 21 Jul 2013, 01:21
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Zarrolou wrote:
Number x has increased by 100% ??
=> X as doubled 10->20

Number x has increased by a factor of 20 ??
=> x has increased by 1,2,4,5,10,20. I do not know if this is a percentage increase(+20%) or a multiplication(x20) or a sum(+20); I think that the latter should be correct.


Number x has decreased by a factor of 15??
=> x has decreased by 1,3,5,15, same as above


Number x has an increase of 100% ??
=> same as the first one

Number x has increased to y ??
=> example x=5, y=7; x has increased to y==> x=7

Number x has increased by y ??
=> example x=5, y=7; x has increased by y==> x=5+7=12

Hope this makes sense :)


The red parts are not correct.

Increases by a factor of y means multiplied by y --> x increased by a factor of 20 --> result = 20x.

Decreased by a factor of y means divided by y --> x decreased by a factor of 15 --> result = x/15.

Hope it helps.
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Confusing Percentages [#permalink] New post 21 Jul 2013, 20:50
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Responding to a pm:

How to resolve the following:

Number x has increased by 100% ??
Number x has increased by a factor of 20 ??
Number x has an increase of 100% ??
Number x has increased to y ??
Number x has increased by y ??

Solutions:

Number x has increased by 100%
x has increased by 100% of x i.e. x has become double of what it was originally.
If x was 10, it is now 20.

Number x has increased by a factor of 20
"increased by a factor of 20" means "multiplied by 20" (yes, kind of un-intuitive because I might expect it to INCREASE by 20x to become 21x but that is not the way it is used)
So x becomes 20x

Number x has an increase of 100% ??
Not usually used. We use "x has increased by 100%". It means x has becomes 2x.

Number x has increased to y ??
x has become y. Number of children (which has 5) has increased to 10 (now there are 10 children).

Number x has increased by y ??
y is added to x to give x + y. Number of children (which was 5) has increased by 10 (now there are 15 children).
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Re: Percentages Increase [#permalink] New post 21 Jul 2013, 20:53
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Re: Percentages Increase   [#permalink] 21 Jul 2013, 20:53
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