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The average score in Mathematics of 90 students of sections A and B of class IX was 63. The number of students in A were 10 more than those in B. The average score of students in A was 30% more than that of students in B. The average score of students in B is:
  • a)
    60
  • b)
    50
  • c)
    54
  • d)
    56
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The average score in Mathematics of90students of sectionsAandBof class...
Given:
Number of students =90
Students in A = Students in B+10
Average of the score in Mathematics of students in A and B=63
Average of students in section A=130% of students in section B.
As we know,

Let the students in section B be x
Students in section A = x + 10

Sum of the score of students =90×63
Sum of the score of students =5670
Number of the students =90
⇒x+x+10=90
⇒x=40
Students in Section B=40
Students in section A=40+10=50
Let the average be 'p'.
Average of students in section A=130% of students in section B

⇒13p×50+10p×40=5670
⇒650p+400p=5670
⇒1050p=5670
⇒p=5.4
Average of students in section B=10p
=5.4×10
=54
∴ The average score of students in B is 54.
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The average score in Mathematics of90students of sectionsAandBof class IX was63. The number of students inAwere10more than those inB. The average score of students inAwas30%more than that of students inB. The average score of students inBis:a)60b)50c)54d)56Correct answer is option 'C'. Can you explain this answer?
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