CUET CUET General Test 2024 - In a class of 40 students, ratio of boys and girls is 3:2 and the average marks scored by boys is 42 and that by girls is 46. Then the average marks scored by the whole class is : | PYQs + Solutions

CUET General Test 2024

Arithmetic

Ratio, Proportion & Variation

Medium

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

43.4

43.6

43.8

Correct Option: 2

Let the number of boys be

B

and the number of girls be

G

From the ratio, we have

B:G = 3:2

Let

B = 3x

and

G = 2x

Since the total number of students is 40, we have:

3x + 2x = 40

5x = 40

x = 8

Thus,

B = 3 \times 8 = 24

and

G = 2 \times 8 = 16

The total marks scored by boys is

24 \times 42 = 1008

and by girls is

16 \times 46 = 736

The total marks for the class is

1008 + 736 = 1744

The average marks for the whole class is:

\frac{1744}{40} = 43.6

Therefore, the average marks scored by the whole class is

43.6