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

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

- 50%
- 75%
- 100%
- Cannot be determined

### Answer

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

a^{2}/100 + b^{2}/100 = 2ab/100

a^{2} + b^{2} = 2ab

a^{2} + b^{2} - 2ab = 0

(a - b)^{2} = 0

a = b

So, a is 100% of b.

**The correct option is C.**