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700 Level GMAT PS Question



At a sandwich shop, all sandwiches sell for the same price. If the shop were to decrease the price of each sandwich, it would sell 5 more sandwiches per day its daily revenue would remain constant at $150. How much could a sandwich currently cost?

A. $3
B. $4
C. $5
D. $6
E. $10


Let the price of a sandwich be p
and the number of sandwiches be​ s

Revenue = ps = 150

150:
1*150
2*75
3*50
5*30
6*25
10*15

New revenue = (p-x)(s+5)=150

The number of sandwiches before and after has to be factors of 150 and at a gap of 5

Case 1: The number of sandwiches may be 25 and 30

Or

Case 2: The number of sandwiches may be 5 and 10

Case 1: The price earlier and after will be *6* and 5 respectively

Case 2: The price earlier and later will be 30 and 15 respectively

D

Jeremiah LaBrash


Jeremiah LaBrash is a programmer and CIO for a CCaaS telecom company based in New York, NY. If you have math or verbal questions you’re having difficulty with and would like Jeremiah LaBrash to solve them and parse them into understandable parts, please leave a comment below or mail jr@thelevel11.com  

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