Question

    The average number of novels on historical, thriller and

    fantasy in a library is 160, and the average number of novels on historical and fantasy is 140. If the number novels on fantasy is 25% less than the number of novels on thriller, then what is the number of novels on historical in the library?
    A 100 Correct Answer Incorrect Answer
    B 135 Correct Answer Incorrect Answer
    C 133 Correct Answer Incorrect Answer
    D 130 Correct Answer Incorrect Answer
    E 150 Correct Answer Incorrect Answer

    Solution

    Let the number of novels on historical, thriller and fantasy be x, y and z respectively. Given, (x + y + z)/3 = 160 => x + y + z = 480 ….. (1) And, (x + z)/2 = 140 => x + z = 280 ….. (2) From equation 1 and 2 Number of novels on thriller = y = 200 Number of novels on fantasy = 0.75 × 200 = 150 Therefore, number of novels on historical = 480 – (200 + 150) = 130

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