[email protected] wrote:At a certain convenience store, the revenue from Brand A hot dogs decreased by 5% from April to May, while the revenue from Brand B hot dogs increased by 5% from April to May. The revenue from Brand A in May was what percentage of the revenue from Brand B in April?
(1) The increase in revenue from Brand B was 19/20 the decrease in revenue from Brand A.
(2) The revenue in April from Brand A was equal to 20/19 the revenue in April from Brand B.
April:
Let A = Brand A's revenue.
Let B = Brand B's revenue.
May:
Decrease in Brand A's revenue = 0.05A.
Increase in Brand B's revenue = 0.05B.
Brand A's resulting revenue = (0.95)A.
The revenue from Brand A in May was what percentage of the revenue from Brand B in April?
(brand A's revenue in May)/(brand B's revenue in April) = (.95A)/B = .95(A/B).
Question stem rephrased: What is the value of A/B?
Statement 1: The increase in revenue from Brand B was 19/20 the decrease in revenue from Brand A.
(0.05)B = (19/20)(0.05)A.
Since we can solve for A/B, SUFFICIENT.
Statement 2: The revenue in April from Brand A was equal to 20/19 the revenue in April from Brand B.
A = (20/19)B.
Since we can solve for A/B, SUFFICIENT.
The correct answer is
D.
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