SOLUTION: The product of A and B are constant. If the value of A is decreased by 25% by how many percent must the value of B be increased? A)-10% B)-25% C)-33 1/3% D)-40%

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Question 1144214: The product of A and B are constant. If the value of A is decreased by 25% by how many percent must the value of B be increased?
A)-10%
B)-25%
C)-33 1/3%
D)-40%
Answer by ikleyn(52798)   (Show Source): You can put this solution on YOUR website!
.

We are given non-zero values A and B, as well as the non-zero values of A', B' such that


    A' = 0.75*A  and  A*B = A'*B'.


Then 


    A*B = (0.75*A)*B',


hence  (canceling A in both sides)


    B = 0.75*B'


and


    B' =  =  =  =  = 1.333333*B.


ANSWER.  B increased by   percents.


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