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Bunuel
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Bunuel
A certain retailer decided to raise its prices by p%. When, as a result, its sales dropped by q%, the retailer found that its total revenue was unchanged. Which of the following correctly expresses q in terms of p?

A. p
B. 1/p
C. p/(1−p)
D. 100/(100+p)
E. 100p/(100+p)

Source: Veritas Prep

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Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
Let the rate be r, and sales be s . Thus revenue = rs

r(1+p/100) * s (1-q/100) = rs

(100+p)*(100-q) = 10000

10000+ 100p - 100q -pq = 10000

100p = 100q+pq

100 p = q*(100+p)

q = 100p /(100+p)

Option E
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