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A person will buy a television set for $10,500, for which he gets a 5% discount. When he goes to pay, he discovers that this was not the price, finally paying $9,595. So, how many dollars less was the price?

A person will buy a television set for $10,500, for which he gets a 5% discount. When he goes to pay, he discovers that this was not the price, finally paying $9,595. So, how many dollars less was the price?

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section: Chapter Questions
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Course: Financial Mathematics
A person will buy a television set for $10,500, for which he gets a 5% discount. When he goes to pay, he discovers that this was not the price, finally paying $9,595. So, how many dollars less was the price? 
Please detail your procedure

THANKS :D

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According my professor, answer is 400. He says just obtain 9,595/(1-5%) = 10,100, and then 10,500 - 10,100 = 400 dollars is less the price

Please check it. Thanks :D

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