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# The difference between the value of a number increased by 25

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Joined: 07 Feb 2010
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The difference between the value of a number increased by 25 [#permalink]

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20 Dec 2010, 08:11
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The difference between the value of a number increased by 25% and the value of the original number decreased by 30% is 22. What is the original number?

A. 40
B. 50
C. 65
D. 70
E. 90
[Reveal] Spoiler: OA
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Posts: 43867
Re: the differance between the value of a number [#permalink]

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20 Dec 2010, 08:15
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anilnandyala wrote:
the differance between the value of a number increased by 25% and the value of the original number decreased by 30% is 22 what is the original number?

40
50
65
70
90

Let the original # be $$x$$ then $$1.25x-0.7x=22$$ --> $$x=40$$.

Answer: A.
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Re: The difference between the value of a number increased by 25 [#permalink]

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30 Mar 2017, 04:17
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Re: The difference between the value of a number increased by 25 [#permalink]

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30 Mar 2017, 08:01
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anilnandyala wrote:
The difference between the value of a number increased by 25% and the value of the original number decreased by 30% is 22. What is the original number?

A. 40
B. 50
C. 65
D. 70
E. 90

Let x = the original number

Value of the number INCREASED by 25% = 1.25x
Value of the number DECREASED by 30% = 0.7x

DIFFERENCE = 22
So, 1.25x - 0.7x = 22
Simplify: 0.55x = 22
So, x = 22/0.55

NOTE: We need not calculate 22/0.55
Notice that 22/0.5 = 44
Since 0.55 is a little bit BIGGER than 0.5, we can conclude that 22/0.55 will be a little bit SMALLER than 44

Answer:
[Reveal] Spoiler:
A

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Re: The difference between the value of a number increased by 25 [#permalink]

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17 May 2017, 13:37
The difference between the value of a number increased by 25% and the value of the original number decreased by 30% is 22. What is the original number?

A. 40
B. 50
C. 65
D. 70
E. 90

Let the number be x.
Number increased by 25% = 125% of x = 1.25x
Original number decreased by 30% = 70% of x = 0.7x
Difference between values = 1.25x - 0.7x = 22, 0.55x = 22
x = 22/0.55 = 40
Answer A...

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Re: The difference between the value of a number increased by 25   [#permalink] 17 May 2017, 13:37
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# The difference between the value of a number increased by 25

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