- QUESTION
If a% of a + b% of b = 2% of ab, then what percent of a is b?
A)25%
B)50%
C)75%
D)100%
Explanation
(D)
0.01a ^ 2 + 0.01b ^ 2 = 0.02ab
a ^ 2 + b ^ 2 = 2ab
a ^ 2 + b ^ 2 – 2ab = 0
(a – b) ^ 2 = 0
a = b
b is 100% of a.
If a% of a + b% of b = 2% of ab, then what percent of a is b?
A)25%
B)50%
C)75%
D)100%
(D)
0.01a ^ 2 + 0.01b ^ 2 = 0.02ab
a ^ 2 + b ^ 2 = 2ab
a ^ 2 + b ^ 2 – 2ab = 0
(a – b) ^ 2 = 0
a = b
b is 100% of a.
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