Question:medium

In a class of 40 students, the ratio of boys and girls is 3 : 2 and the average marks scored by boys is 42 and that by girls is 46. What is the average marks scored by the whole class?

Updated On: Jan 16, 2026
  • 43.6
  • 44
  • 45.2
  • 45.6
Show Solution

The Correct Option is A

Solution and Explanation

Data Provided:

  • Total Students: 40
  • Boy-to-Girl Ratio: 3:2
  • Average Marks (Boys): 42
  • Average Marks (Girls): 46

Procedure:

  1. Determine the number of boys and girls:

    • Total ratio units: 3 + 2 = 5
    • Number of Boys: (3/5) * 40 = 24
    • Number of Girls: (2/5) * 40 = 16

  2. Calculate the aggregate marks for boys and girls:

    • Total Marks (Boys): 24 * 42 = 1008
    • Total Marks (Girls): 16 * 46 = 736

  3. Compute the total marks for the entire class:

    • Total Class Marks: 1008 + 736 = 1744

  4. Calculate the overall average marks for the class:

    • Average Class Marks: 1744 / 40 = 43.6
Was this answer helpful?
2

Top Questions on Ratio and Proportion

Questions Asked in CUET (UG) exam