There are 90 students in a class, out of which 70% are from village A and others are from village B. The average score of students from village B in a test is 20% more than that from village A. If the average score of all the students is 53, then what is the average score of the students from village B?

There are 90 students in a class, out of which 70% are from village A and others are from village B.

Number of students from village A = 90 of 70% = 63

Number of students from village B = (90 - 63) = 27

The average score of students from village B in a test is 20% more than that from village A.

Let's assume the average score of students from village A is 'a'.

the average score of students from the village B = 120% of a = 1.2a

If the average score of all the students is 53.

$$63\times a + 27\times 1.2a = 90\times53$$

$$7\times a + 3\times 1.2a = 10\times53$$

7a + 3.6a = 530

10.6a = 530

a = 50

The average score of the students from village B = 1.2a = $$1.2\times50$$ = 60