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?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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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,we need to find how many dollars less was the price. 

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Follow-up Question

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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