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    Question

    In an election between two candidates, the defeated

    candidate secured 42% of the valid votes polled and lost the election by 2545800 votes. If 365500 votes were declared invalid and 30% people did not cast their vote, what was the approximate number of people (in millions) in the electorate who did NOT cast their votes?
    A 5 Correct Answer Incorrect Answer
    B 6 Correct Answer Incorrect Answer
    C 8 Correct Answer Incorrect Answer
    D 7 Correct Answer Incorrect Answer

    Solution

    Calculation: β‡’ Let the total valid votes be V. β‡’ Defeated candidate secured 42% of valid votes, so: β‡’ V Γ— 42% = 0.42V β‡’ Winning candidate secured (100% - 42%) = 58% of valid votes, so: β‡’ V Γ— 58% = 0.58V β‡’ The difference in votes between the winning and defeated candidate is 2545800: β‡’ 0.58V - 0.42V = 2545800 β‡’ 0.16V = 2545800 β‡’ V = 2545800 / 0.16 β‡’ V = 15911250 β‡’ Total Votes Polled = V + Invalid Votes β‡’ Total Votes Polled = 15911250 + 365500 β‡’ Total Votes Polled = 16276750 β‡’ Total Electorate = Total Votes Polled / (1 - Percentage of people who did not vote) β‡’ Total Electorate = 16276750 / (1 - 0.30) β‡’ Total Electorate = 16276750 / 0.70 β‡’ Total Electorate β‰ˆ 23252500 β‡’ People who did not cast their votes = Total Electorate Γ— Percentage of people who did not vote β‡’ People who did not cast their votes = 23252500 Γ— 0.30 β‡’ People who did not cast their votes β‰ˆ 6975750 ∴ The approximate number of people (in millions) in the electorate who did NOT cast their votes is 7 million.

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