1955 AHSME Problems/Problem 22
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Problem 22
On a 
order a merchant has a choice between three successive discounts of 
%, %, and 
% and
three successive discounts of 
%, 
%, and %. By choosing the better offer, he can save:
Solution
In order to solve this problem, we can simply try both paths and finding the positive difference between the two.
The first path goes 
The second path goes 
The positive difference between the offers is therefore 
