If \(\dfrac{b}{c} = 1.25,\) then \(c\) is what percent of \(b?\)

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If \(\dfrac{b}{c} = 1.25,\) then \(c\) is what percent of \(b?\)

(A) 0.008
(B) 0.08
(C) 0.8
(D) 8
(E) 80

Answer: E

Source: Manhattan GMAT

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M7MBA wrote:
Thu Nov 04, 2021 12:27 pm
If \(\dfrac{b}{c} = 1.25,\) then \(c\) is what percent of \(b?\)

(A) 0.008
(B) 0.08
(C) 0.8
(D) 8
(E) 80

Answer: E

Source: Manhattan GMAT
The quickest solution is to find a pair of values for b and c that satisfy the given information (b/c = 1.25)

For example, it could be the case that b = 125 and c = 100 (since 125/100 = 1.25)

At this point, the question "c is what percent of b?" becomes "100 is what percent of 125?"
Well, we know that 62.5 is 50% of 125, which means 100 must be more than 50% of 125

Answer: E
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