Question

In a class, 40% of the students are girls among whom 25% are rich. Among the boys, those who are rich are 150% of the number of rich girls. There are 160 tribal students in the class in the ratio of 3:5 between girls and boy
50% of the rich girls and 60% of the rich boys are tribal students. The number of tribal students constitutes 40% of the student strength in the class.
What is the ratio of the non-tribal rich girls to non-tribal rich boys?​

Answer 1

Answer:5:6

Step-by-step explanation:

Answer 2

Answer :

The ratio of the non-tribal rich girls to the non-tribal rich boys be, 5:6

Given that in a class, 40% of the students are girls among whom 25% are rich. Among the boys, those who are rich are 150% of the number of rich girls. There are 160 tribal students in the class in the ratio of 3:5 between girls and boy 50% of the rich girls and 60% of the rich boys are tribal students. The number of tribal students constitutes 40% of the student strength in the class.

Let the number of students in the class be, x

then the number of girls be 40x/100 and the number of boys be 60x/100

now the number of rich girls be, x/10 and the number of rich boys be 15x/100.

the number of tribal girls in the class be, 3/8×160 = 60

and the number of tribal boys in the class be, 5/8×160 = 100

Now, the number of rich tribal girls be, 50/100×x/10 = x/20

and the number of rich tribal boys be, 60/100×15x/100 = 9x/100

So, the number of rich non-tribal girls be, x/10 - x/20 = x/20

and the number of rich non-tribal boys be, 15x/100 - 9x/100 = 6x/100

The ratio of the non-tribal rich girls to non-tribal rich boys be, 5:6.

So, to conclude in a sentence, the ratio of the non-tribal rich girls to non-tribal rich boys be, 5:6

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