Question

15. If 20% of x is the same as 30% of y, what percentage of or is y?
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Answer 1

Answer:

66.666 %

Step-by-step explanation:

Since we have 20%, we can multiply both by 5, which yields 100(Y) and 150(X)

It seems counterintuitive that X=150% of Y (because 30% was associated with Y).

But indeed it is! X is unambiguously larger than Y since 20% is smaller than 30% (also counterintuitive reasoning). i.e. if 20% of James equals 30% of Tammy, then James must be larger.

BUT, the problem is articulated as ‘what percent of X is Y', so the answer is Y/X, not the other way around!

After everything, 100/150 = 2/3 = 66.666%