Question

Given below are two quantities named A and B. Based on the given information, you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.

Quantity A: In an election of two candidates 35% of the votes polled were declared invalid and the winner got 60% of the valid votes and won by 45500 votes. Find the number of votes polled.  

Quantity B: 400000

1. Quantity A > Quantity B
2. Quantity A < Quantity B
3. Quantity A ≥ Quantity B
4. Quantity A ≤ Quantity B
5. Quantity A = Quantity B or No relation

Answer 1

Correct Answer - Option 2 : Quantity A < Quantity B

GIVEN:

Invalid votes = 35%

Winner got = 60% of valid votes

winning margin = 45500

EXPLANATION:

Let total votes polled be 100r

valid votes = 65% of 100 = 65r

Margin = 60 - 40 = 20% of valid votes 

20% of 65r = 13r

A.T.Q

13r = 45500

∴ 100r = 45500/13 × 100 = 350000

Total votes were 350000

∴ Quantity A < Quantity B