PGMAT wrote:If a,b,c are greater than 0 and a is twice as large as b percent of c, then in terms of b and c, what is a percent of c?
2bc/100
2bc^2/1000
bc^2/5000
b^c/5000
5000b/c^2
Please show detailed steps. Thank you.
C
Let c = 200 and b = 10.
Then a = 2*(b% of c) = 2*(10% of 200) = 40.
Then a% of c = 40% of 200 = 80. This is our target.
Now we plug b=10 and c=200 into all the answer choices to see which yields our target of 80.
Only answer choice C works:
b(c^2)/5000 = 10*(200^2)/5000 = 400,000/5000 = 80.
The correct answer is
C.
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