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The difference between the value of a number increased by 25% and the
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21 Jan 2021, 03:49
21 Jan 2021, 03:49
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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
Kudos for the right answer and explanation
A. 40
B. 50
C. 65
D. 70
E. 90
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: The difference between the value of a number increased by 25% and the
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21 Jan 2021, 06:33
21 Jan 2021, 06:33
1
Carcass 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
Kudos for the right answer and explanation
A. 40
B. 50
C. 65
D. 70
E. 90
Kudos for the right answer and explanation
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
gmatclubot
Re: The difference between the value of a number increased by 25% and the [#permalink]
21 Jan 2021, 06:33
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