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Dollars and Cents (Posted on 2012-08-13) Difficulty: 3 of 5
This is a generalization of Rupees and Paise.

Stan entered a departmental store with A dollars and B cents. When he exited the store, he had B/p dollars and A cents, where B/p is an integer. It was observed that when Stan came out, he had precisely 1/p times the money he had when he came in.

Given that each of A, B and p is a positive integer, with 2 ≤ p ≤ 99, determine the values of p for which this is possible. What values of p generate more than one solution?

See The Solution Submitted by K Sengupta    
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Question re(2): Solution | Comment 4 of 5 |
(In reply to re: Solution by Chris, PhD)

What are your possible A and B for your p values larger than 50?

Also, what about 28, 34, 40, 45?

  Posted by Charlie on 2012-08-13 12:52:53
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