If a% of a + b% of b = 2% of ab, then what percent of a is b

If a% of a + b% of b = 2% of ab, then what percent of a is b?

  1. 50%
  2. 75%
  3. 100%
  4. Cannot be determined

Answer

a% of a + b% of b = 2% of ab

a2/100 + b2/100 = 2ab/100

a2 + b2 = 2ab

a2 + b2 - 2ab = 0

(a - b)2 = 0

a = b

So, a is 100% of b.

The correct option is C.