Question

    In a survey conducted in a locality, it was found that 50% read newspaper A, 40% read newspaper B, and 20% read neither A nor B. If the number of persons who read both A and B is 500, then how many persons were surveyed?

    A 7000 Correct Answer Incorrect Answer
    B 3000 Correct Answer Incorrect Answer
    C 4500 Correct Answer Incorrect Answer
    D 5000 Correct Answer Incorrect Answer

    Solution

    Percentage of persons who do not read newspaper A = 100% - 50% = 50% Percentage of persons who do not read newspaper B = 100% - 40% = 60% Percentage of persons who don't read any newspaper neither A nor B = 20% From the following chart. Total percentage who read both A and B newspaper = 100% - 30%-20%-40% = 10% Let the total number of people be x, then x × (10/100) = 500 x = 500 x 10 = 5000 The total number of persons are 5000.

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