Question 61

Out of 90 students in a class, 60% are girls and rest are boys. The average score in English of boys is 30% more than that of girls. If the average score in English of all the students is 56, then what is the same for the girls?

Solution

out of 90 students 60% are girls means $$90\times\frac{60}{100}$$=54 girls

so boys=90-54

=>36

avg score in English of all students is 56

$$\frac{sum}{90}$$=56

sum=5040

The average score in English of boys is 30% more than that of girls.

Let's assume the average score in English of girls is 'y'.

the average score in English of boys = 130% of y = 1.3y

$$1.3y\times36+y\times54=5040$$

46.8y+54y = 5040

100.8y = 5040

y = 50


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