iishim
A clothing store sold a certain brand of shirts for X dollars each last April and for y dollars each last May. If the store's total revenue from the sale of the shirts last May was 73 percent less than its total revenue from the sale of the shirts last April, was the selling price of each of the shirts sold last May less than the selling price of each of the shirts sold last April?
(1) The store sold 70 percent fewer of the shirts last May than it sold last April.
(2) The store's total revenue from the sale of 170 of the shirts last April was $3,740.
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The information presented in the premise can be summarized as shown below
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the store's total revenue from the sale of the shirts last May was 73 percent less than its total revenue from the sale of the shirts last April\(M * y = 0.27 * A * x\) --- (1)
Question: \(y < x?\)
Statement 1(1) The store sold 70 percent fewer of the shirts last May than it sold last April.
Inference → \(M = 0.3 * A\)
Substituting the value of M in Equation 1
\(M * y = 0.27 * A * x\)
\(0.3 * A * y = 0.27 * A * x\)
As \(A\) represents the number of shirts sold in April, the value of A is not equal to zero. Hence, we can divide both sides of the equation by \(A\).
\( y = 0.9 * x\)
Hence, we have a relation between \(y\) and \(x\). The statement alone is sufficient to answer the question, Is \(y < x?\) →
YesStatement 2(2) The store's total revenue from the sale of 170 of the shirts last April was $3,740.
From the given information we can find the selling price of each shirt in the month of April.
\(x = \frac{3740 }{ 170}\)
We, however, do not have any other information to determine the relationship between \(x\) and \(y\). Hence, the statement alone is not sufficient to conclude whether \(y < x\).
The statement alone is not sufficient.
Option A