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What is the original number?

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by sanju09 » Wed Feb 25, 2009 2:30 am
The difference between the value of a number increased by 12.5% and the value of the original number decreased by 25% is 30. What is the original number?

A. 60
B. 80
C. 40
D. 120
E. 160
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Source: — Problem Solving |

by cramya » Wed Feb 25, 2009 2:44 am
Let x be the original number
112.5/100*x - 75//100*x = 30


x= 80

Check:

80 increased 12.5% = 90
80 decrease 25% is 60

90-60=30

B
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by bmlaud » Wed Feb 25, 2009 2:47 am
Let the number be N then

1.125 N- 0.75N = 30

or N = 30/0.375 = 80

B
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