New Click here to Enroll for SIDBI MSME Expert Classes by Experts

    Register

    Question

    In an examination, the number of those who have passed

    and the number of those who failed were in the ratio of 40 : 7. If 7 more had appeared and the number of failures was 8 less than earlier, the ratio of passers to failures would have been 35 : 4. Then find the original total number of students who appeared at the examination.
    A 175 Correct Answer Incorrect Answer
    B 188 Correct Answer Incorrect Answer
    C 268 Correct Answer Incorrect Answer
    D 186 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let number of passed students = 40x & that of failure students = 7x So total number of students = 40x+7x = 47x After admitting 7 more students, Total Students appeared = 47x+7 New Failure students = 7x-8 then new passed students = 47x+7 - (7x-8) = 40x+15 So ratio of new passed to new failure students = (40x+15) /(7x-8) = 35/4 160x + 60 = 245x - 280 85x = 340 x = 4 Total students appeared in the exam was = 47× 4 = 188

    Practice Next

    Relevant for Exams: