In last assembly elections for Delhi state, party A, B AND C fought against each other and got 28, 4

M4maths Previous Puzzles

17 May 2019 Percentage

In last assembly elections for Delhi state, party A, B AND C fought against each other and got 28, 45 and 21 percent of total votes respectively. The remaining percent of votes went to others. For 2019 assembly election, party A urges party C to have an alliance so that they can beat party B.

Below facts hold good for 2019 election:
1. There is a 2% increase in vote percent of party B when compared to its own vote percent of 2014. Note: This 2% increase is only in comparison to Party B's vote percentage of 2014 and not on overall.
2. If Party A and C are forming an alliance then party A will loose 20% of its own vote percentage from what it has got in 2014, this vote percentage will go to others
3. Party's C vote share will remain same as 2014 with or without alliance with party A
4. Also, given that the number of voters in 2014 and 2019 are same.

Assuming an alliance between party A and C is formed, what is the vote percent difference between the party B and the alliance formed by A & C?

OPtion

1) 2.2%
2) 2.3%
3) 2.4%
4) 2.6%
5) 2.5%
6) 2.7%
7) 2.8%
8) 2.9%
9) 3.0%
10) None of these

Solution

Vote Percent of Party B in 2019 = 1.02*45 = 45.9
Vote Percent of Party A in 2019 = 0.8*28 = 22.4
Vote Percent of Party C in 2019 = 21

Total vote percent of alliance A+C = 43.4%

Winning party is B and margin is = 45.9 - 43.4 = 2.5%

Correct Option: 5 Best Solution (2)