Question:

In a school 3 classes took the same exam. Class A had 30 students and average mark for the class was 66.?

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Class B 22 students average mark was 54. Class C had 20 students. The average obtained by all the pupils together was 61.5 . Calculate the average mark of Class C.

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  1. ANSWER-63

    PROCEDURE-

    TOTAL MARKS OF CLASS-A=AVG. MARKS*NO. OF STUDENTS

                                               =66*30=1980

    TOTAL MARKS OF CLASS-B=54*22=1188

    TOTAL MARKS OF CLASS-A,B,C=61.5*(30+22+20)=61.5*72=4428

    TOTAL MARKS OF CLASS-C=TOTAL MARKS OF CLASS-A,B,C-TOTAL MARKS OF CLASS-A-TOTAL MARKS OF CLASS-B

    TOTAL MARKS OF CLASS-C=4428-1980-1188=1260

    TOTAL MARKS OF CLASS-C=AVG. MARKS*NO. OF STUDENTS

    1260=X*20

    X=1260/20

    X=63

    IE-AVG. MARKS OF CLASS-C=63

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