Question

In an election of 3 candidates a, b and c, a gets 50% more votes than b. a also beats c by 1,80,00 votes. if it is known that b gets 5 percentage point more votes than c, find the number of voters on the voting list (given 90% of the voters on the voting list voted and no votes were illegal).

A. 1,00,000
B. 81,000
C. 90,000
D. 1,10,000

Answer 1

In an election with 3 candidates where a receives 50% more votes than b and beats c by 1,80,00 votes, the number of voters on the voting list can be calculated. The number of votes received by candidate b can first be found using the given information, and then the total number of voters can be determined using the fact that 90% of the voters on the voting list voted. The number of voters on the voting list is found to be 2,00,000.

Step-by-step explanation:

Let's assume that the number of votes b receives is x.

According to the given information, a receives 50% more votes than b, so a receives x + 0.5x = 1.5x votes.

b gets 5 percentage point more votes than c, so b receives c + 0.05c = 1.05c votes.

It is also given that a beats c by 1,80,00 votes, which means a - c = 1,80,00.

Using the information above, we can set up the following equations:

a - b = 1.5x - x = x = 1,80,00

b - c = 1.05c - c = 0.05c = 1,80,00

x = 1,80,00

So, the number of votes b receives is 1,80,00.

The number of voters on the voting list can be calculated by using the fact that 90% of the voters on the voting list voted. Let's assume the number of voters on the voting list is y. Then, 90% of y is equal to x, which gives us 0.9y = 1,80,00.

Solving the equation, we find that y = 2,00,000.

Therefore, the number of voters on the voting list is 2,00,000.