Question

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?

• A. 43.6
• B. 44
• C. 45.2
• D. 45.6

Answer 1

The Correct Option is A

Given:
- Total number of students = 40
- Ratio of boys to girls = 3 : 2
- Average marks of boys = 42
- Average marks of girls = 46
Step 1: Calculate the number of boys and girls:
Total ratio parts = 3 + 2 = 5 Number of boys = (3/5) × 40 = 24,
Number of girls = (2/5) × 40 = 16
Step 2: Calculate the total marks scored by boys and girls:
Total marks of boys = 24 × 42 = 1008 Total marks of girls = 16 × 46 = 736
Step 3: Calculate the total marks for the whole class:
Total marks = 1008 + 736 = 1744
Step 4: Calculate the average marks for the whole class: Average marks = 1744 / 40 = 43.6 .