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When a certain shoe store reduces the price of its best-selling style [#permalink]
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tanad wrote:
When a certain shoe store reduces the price of its best-selling style of shoe by 10 percent, the weekly sales of this style increase by 10 percent. Which of the following best describes the resulting change in the store's weekly revenue from sales of this style of shoe?

A: Revenue decreases by 10%
B: Revenue decreases by 1%
C: There is no change in revenue
D: Revenue increases by 1%
E: Revenue increases by 10%


\(+10 - 10 + \frac{(+10)(-10)}{100}\)

\(= 0 - 1\)

\(= -1\) , Answer must be (B)
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Re: When a certain shoe store reduces the price of its best-selling style [#permalink]
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Price x Quantity = Revenue

with the price decreasing 10%, we should use 0.9P
with the quantity sold increasing 10%, we should use 1.1Q

Therefore, the impact on revenue = 0.9P * 1.1Q

Simplify 0.99PQ, which approximately equals a 1% decrease.
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Re: When a certain shoe store reduces the price of its best-selling style [#permalink]
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Re: When a certain shoe store reduces the price of its best-selling style [#permalink]
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