Question

In a class of 40 students, the ratio of boys to girls is 3:2. 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. 43.4
• B. 43.6
• C. 43.8
• D. 44

Answer 1

Answer: (B)

43.6

Answer 2

Let the number of boys be $3x$ and the number of girls be $2x$. Since $3x + 2x = 40$, $x = 8$. There are 24 boys and 16 girls. Average = $\frac{(24 \times 42) + (16 \times 46)}{40} = 43.6$.