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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-> 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):
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.
