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    2650 boys and 1100 girls are examined in a test; 42% of the boys and 36% of the girls pass the test. The percentage of the total who failed is:
    Question

    2650 boys and 1100 girls are examined in a test; 42% of the boys and 36% of the girls pass the test. The percentage of the total who failed is:

    A.

    59.76

    B.

    57.76

    C.

    58.76

    D.

    56.76

    Correct option is A


    Ans. (a)
    Sol. Let's calculate the number of boys and girls who failed the test:
    · Number of boys who passed = 42% of 2650 = 1113 boys
    · Number of boys who failed = 2650 - 1113 = 1537 boys
    · Number of girls who passed = 36% of 1100 = 396 girls
    · Number of girls who failed = 1100 - 396 = 704 girls
    Now, the total number of students who failed = 1537 boys + 704 girls = 2241 students.
    Total students = 2650 boys + 1100 girls = 3750 students.
    The percentage of students who failed = (2241 / 3750) × 100 = 59.76%.

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