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20 Dec 2010, 09:11
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A
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85% (01:37) correct
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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
A. 40
B. 50
C. 65
D. 70
E. 90
Updated on: 17 May 2021, 07:17
Originally posted by BrentGMATPrepNow on 30 Mar 2017, 09:01.
Last edited by BrentGMATPrepNow on 17 May 2021, 07:17, edited 2 times in total.
Last edited by BrentGMATPrepNow on 17 May 2021, 07:17, edited 2 times in total.
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anilnandyala
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: A
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General Discussion
20 Dec 2010, 09:15
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anilnandyala
Let the original # be \(x\) then \(1.25x-0.7x=22\) --> \(x=40\).
Answer: A.
