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Percentage quickie (Posted on 2016-03-14) Difficulty: 1 of 5
If x is x% of y, and y is y% of z, where x, y, and z are positive real numbers, what is z?

Source: Crux Mathematicorum

See The Solution Submitted by Ady TZIDON    
Rating: 3.0000 (1 votes)

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Solution Quickie answer (spoiler) Comment 1 of 1
From the 2nd equation,

y = (y/100)*z

Since y is not allowed to be zero (the puzzle requires it to be positive),  just multiply by 100/y to get z = 100.  Final answer.


If x, y and z did not need to be positive, then the (x,y,z) could be (0,0, anything) or (0, anything, 100).

But, given the puzzle conditions, (x,y,z) need to be (anything positive, 100, 100).

Edited on March 14, 2016, 4:01 pm
  Posted by Steve Herman on 2016-03-14 13:51:50

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