If 10% of A is equal to 120% of B, then what percent of B is A? (A) 1

Question

If 10% of A is equal to 120% of B, then what percent of B is A?

(A) 12
(B) 110
(C) 120
(D) 1200
(E) 12000

sujoykrdatta · Answer

Essentially A/10 = 12B/10
=> A = 12B 
=> A/B × 100 = 1200% (D)

GraemeGmatPanda · Answer

Convert the percentage expressions to their decimal equivalents.
 0.1A = 1.2B

Isolate A by dividing both sides of the equation by 0.1.
 A = \frac{1.2B}{0.1}

Simplify the fraction to express A as a multiple of B.
 A = 12B

Convert the ratio into a percentage by multiplying by 100%.
 12 	imes 100\% = 1200\%

Answer 1200%
Hope this helps!
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