In a village, an election is contested to elect the Sarpanch. Out of total votes, it is found that 30% are invalid if it is given that contestant A got 65.6% of valid votes and contestant B got 34.4% of valid votes. Then calculate by how much % A will win considering only valid votes from total votes? (Population of Village = 7500)
1. 42.21%
2. 43.6%
3. 47.56%
4. 45%
Correct Answer – Option 3 : 47.56%
Given:
Invalid Votes = 30%
contestant A got 65.6% of valid votes and
contestant B got 34.4% of valid votes.
Total population = 7500.
Calculation:
Total no. of Votes = 7500
Total no. of Valid Votes = 0.7 × 7500
⇒ 5250
No. of valid votes which A received = (65.6/100) × 5250 = 3444
No. of valid votes which B has got = (34.4/100) × 5250 = 1806
∴ A won to B by = (3444 – 1806)/3444 × 100
= 47.56%
∴ A will win by 47.56% votes.