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# How does GMAT translate "increased by X%"?

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Intern
Joined: 10 Apr 2013
Posts: 14
Location: United States (TX)
Concentration: Finance, Entrepreneurship
GMAT 1: 740 Q50 V41
GPA: 3.3
WE: Analyst (Investment Banking)
How does GMAT translate "increased by X%"? [#permalink]

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20 Sep 2013, 11:40
I have been getting confused in how to convert the term "increased X%" into a formula.

Is "increased by X%" interpreted as:

$$\frac{100+X}{100}$$

OR

$$\frac{1+X}{100}$$

OR

$$1+X$$

Problem Example:
If the price increased by X% from 2001 to 2002 and by Y% from 2002 to 2003, what is the percentage increase from 2001 to 2003?
Math Expert
Joined: 02 Sep 2009
Posts: 39673
Re: How does GMAT translates "increased by X%"? [#permalink]

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20 Sep 2013, 12:10
omohojo wrote:
I have been getting confused in how to convert the term "increased X%" into a formula.

Is "increased by X%" interpreted as:

$$\frac{100+X}{100}$$

OR

$$\frac{1+X}{100}$$

OR

$$1+X$$

Problem Example:
If the price increased by X% from 2001 to 2002 and by Y% from 2002 to 2003, what is the percentage increase from 2001 to 2003?

It's the second case.

The price in 2001 - $$p$$;
The price in 2002 - $$p*(1+\frac{x}{100})$$.

Consider this: say p = \$100, and x=10%. So, the new price is 100(1 + 10/100) = 100*1.1 = 110.

The question you mention is discussed here: if-the-price-increased-by-x-from-2001-to-2002-and-by-y-fro-89337.html#p1269313

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Theory on Percent and Interest Problems: math-number-theory-percents-91708.html

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Intern
Joined: 10 Aug 2013
Posts: 20
Re: How does GMAT translate "increased by X%"? [#permalink]

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22 Sep 2013, 03:42
omohojo wrote:
I have been getting confused in how to convert the term "increased X%" into a formula.

Is "increased by X%" interpreted as:

$$\frac{100+X}{100}$$

OR

$$\frac{1+X}{100}$$

OR

$$1+X$$

Problem Example:
If the price increased by X% from 2001 to 2002 and by Y% from 2002 to 2003, what is the percentage increase from 2001 to 2003?

Whenever we say , X% increase ....it means an increase of x per 100.

So result will be (100 + 100*(x/100)) or 100+X .
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Math Expert
Joined: 02 Sep 2009
Posts: 39673
Re: How does GMAT translate "increased by X%"? [#permalink]

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22 Sep 2013, 04:11
StormedBrain wrote:
omohojo wrote:
I have been getting confused in how to convert the term "increased X%" into a formula.

Is "increased by X%" interpreted as:

$$\frac{100+X}{100}$$

OR

$$\frac{1+X}{100}$$

OR

$$1+X$$

Problem Example:
If the price increased by X% from 2001 to 2002 and by Y% from 2002 to 2003, what is the percentage increase from 2001 to 2003?

Whenever we say , X% increase ....it means an increase of x per 100.

So result will be (100 + 100*(x/100)) or 100+X .

Increased by x% means increase by (1+x/100) times.

For example, if the original value is 100 and x=10%, then the final value is 100*(1+10/100)=110.

Check here: how-does-gmat-translates-increased-by-x-160198.html#p1269316
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Re: How does GMAT translate "increased by X%"?   [#permalink] 22 Sep 2013, 04:11
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# How does GMAT translate "increased by X%"?

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