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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?

  Submitted by K Sengupta    
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Solution: (Hide)
The required values of p are: 2, 4, 5, 10, 12, 20, 25, 28, 34, 40, 45 or 50, among which:
p = 4, 10, 12 and 25 lead to multiple solutions.

For an explanation, refer to the solution posted by Charlie in the comments.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
PARTIAL answerAdy TZIDON2012-08-14 07:47:43
Questionre(2): SolutionCharlie2012-08-13 12:52:53
Solutioncomputer solutionCharlie2012-08-13 12:43:47
Solutionre: SolutionChris, PhD2012-08-13 10:48:21
SolutionSolutionChris, PhD2012-08-13 10:20:51
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