Option 2 : 6.66%

**Given:**

10% of women vote invalid

5% of male vote invalid

70% of valid women vote got by first candidate

60% of valid male vote got by another candidate

Difference between male and female valid vote is 4200

Ratio of female and male vote is 2 : 3

**Concept:**

Valid vote = Total vote - Invalid vote

**Calculation:**

Let the total vote be 100x

Total vote of male = 100x × 3 / 5 = 60x

Total vote of female = 100x × 2 / 5 = 40x

Invalid male vote = 60x × 5 / 100 = 3x

Total valid male vote = 60x - 3x = 57x

Invalid female vote = 40x × 10 / 100 = 4x

Total valid female vote = 40x - 4x = 36x

Total valid vote = 100x - (4 + 3)x = 93x

First candidate got 70% of women valid vote = 36x × 7 / 10 = 25.2x

And 40% of male valid vote = 57x × 2 / 5 = 22.8x

Total vote of first candidate = 25.2x + 22.8x = 48x

So,

Remaining valid vote got by another candidate = 93x - 48x = 45x

Here, winning candidate got 48x vote

Winning candidate got = (48 - 45)x = 3x more vote than losing candidate

∴ required percentage = (3 / 45) × 100 = 6.66% more (approx..)