📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!


    âš¡ Month End Offer - Flat 52% Off On All Courses! Enroll Now âš¡
    00:00:00 AM Left

    Question

    In an election for class president with two contenders,

    30% of the cast votes were declared invalid. Of the remaining valid votes, the winner secured 55% and won by a margin of 1,120 votes. How many valid votes were there?
    A 13,000 Correct Answer Incorrect Answer
    B 16,400 Correct Answer Incorrect Answer
    C 12,150 Correct Answer Incorrect Answer
    D 11,200 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the number of votes be '100n' Number of valid votes = 0.7 X 100n = '70n' Number of valid votes received by winning candidate = 0.55 X 70n = '38.5n' Number of valid votes received by losing candidate = 0.45 X 70n = '31.5n' So, 38.5n - 31.5n = 1,120 Or, 7n = 1,120 Or, 'n' = 160 Number of valid votes = 70 X 160 = 11,200

    Practice Next

    Relevant for Exams:

    ask-question