30%÷10% = ?% The answer is not 0.099. Only for smart ones! American Math Olympiad #percentages

0.3% of 33 = ?% The answer is not zero - Only for smart ones! American Math Olympiad #percentages

30%÷10% = ?% The answer is not 0.099. Only for smart ones! American Math Olympiad #percentages

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[davidellis]

The problem with quoting the answer as a percentage is that the frame of reference has changed. For example, 30% of a whole cake divided by 10% of a whole cake equals 300% of the smaller portion (not percent of the whole cake). It is better to just say that the answer is 3.

[sharadchandraagarwal]

If you take x equal to 100, then divide 30% of 100 by 10% of 100. It will come as 3. 3 is 3% of 100.

[fouismu]

I was interested in how you can come to 0.099. But this wasn't mentioned. Can anyone explain?

[Russ--R]

The % cancels out, as it's just short hand for " /100 ".

[jflores]

La respuesta de 300 no tiene justificación. 30m/10m=3. El cociente 3 indica la razón o comparación de ambas medidas, o sea, una es 3 veces mayor que la otra

Anawer will bw 3 not 300%...
In order to convert something into percentage, we must have some reference

[patricksheldon]

%=1/100 so those just cancel out in the numerator and denominator

[gavindeane]

The question is meaningless nonsense because it doesn't state what these are percentages OF.

If we assume that it's supposed to be 30% and 10% of the same thing, i.e. we assume that the question was meant to say

(30% of x) / (10% of x)

then the answer is 3 (provided that x is not zero). But that's it. The answer is 3. It's a number, not a percentage of something. It's not 3% of x or 300% of x. You could say it's 300% of 1. But you could equally well say it is 150% of 2.

So there's no single, unequivocal way to express the answer as a percentage even if we assume that the question means 30% and 10% of the same thing. And there's no basis for such an assumption anyway. If the question intends us to treat it as 30% and 10% of the same thing then the question must state that.

More fundamentally, it is meaningless to give a percentage without saying what it is a percentage of.

And it's unnecessarily confusing to start trying to write mathematics expressions with % symbols in. The % symbol is not part of mathematical notation.

[Russ--R]

I think that the answer is Ford Fiesta Ghia.

[-ik]

Theory in reality doesn't happen. In Economic this would be a selfgoal.

[walterbrown]

Your analysis is incorrect. The problem as stated is the ratio of 2 numbers, and that ratio is 3. It doesn't matter whether the elements are grapefruit, coins, locomotive engineers or math professors. The ratio will be dimensionless, of quantity 3. Period, End of story.

[harrymatabal]

Too much of talking about this simple question