two times of a number is 100 (per) increase in the number. if we take half the number, what would be the increase in percent
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Answer:
It will be a DECREASE of 50%
Step-by-step explanation:
General formula:
% change = 100*[(NEW VALUE - OLD VALUE)/(OLD VALUE)]
Let the OLD VALUE be "x"
In Case 1,
NEW VALUE = 2x
% change = 100*[(2x - x)/x]
= 100*(x/x)
= 100
As the sign is "+", it a 100% INCREASE
In Case 2,
NEW VALUE = 0.5x
% change = 100*[(0.5x - x)/x)]
= 100*(-0.5x/x)
= 100*(-0.5)
= -50
As the sign is "-", it is a 50% DECREASE
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