Question

In a particular town the ratio of school going children to non-school going children was 2:5 last
year. In the current year the number of school going children increased by 20% making the
number of school going children to 37500. What is the total number of children in the town in
the current year?
A. 93750
B. 75000
C. 62500
D. 78125

Answer 1

Assumption :-

Let the school going children be x

That of not-school going children be y

According To Question :-

=> x : y = 2 : 5

If School-going children increased by 20%

=> x + 20% of x = 37,500

=> x + 20% of x = 37,500=> x + x / 5 = 37,500

=> x + 20% of x = 37,500=> x + x / 5 = 37,500=> 5x + x = 1,87,500

=> x + 20% of x = 37,500=> x + x / 5 = 37,500=> 5x + x = 1,87,500=> 6x = 1,87,500

=> x + 20% of x = 37,500=> x + x / 5 = 37,500=> 5x + x = 1,87,500=> 6x = 1,87,500=> x = 31,250

Ratio :-

=> 31,250 / y = 2 / 5

=> 31,250 x 5 = 2y

=> 2y = 1,56,250

=> y = 78,125

Total childrens :-

=> School-going + school-not going

=> 31,250 + 78,125

=> 1,09,375