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    Question

    There are 500 students in a college. 45% of them are

    boys. Among the boys and girls, 35% and 50% respectively are interested in music. How many students are not interested in music?
    A 242 Correct Answer Incorrect Answer
    B 284 Correct Answer Incorrect Answer
    C 125 Correct Answer Incorrect Answer
    D 145 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Total number of boys = 500 × 0.45 = 225

    Total number of girls = 500 - 225 = 275

    So, number of boys who do not like music = 225 × 0.65 = 146.25 ≈ 146

    So, number of girls who do not like music = 275 × 0.5 = 137.5 ≈ 138

    So, required number of students = 146 + 138 = 284

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