Question

There are 65 students in the class and Rs. 39 are to be distributed among them so that each boy gets 80 Paise and each girl gets 30 Paise. The ratio of number of boys to number of girls in the class is:
1. 3 : 2
2. 4 : 1
3. 2 : 3
4. 1 : 4

Answer 1

Correct Answer - Option 1 : 3 : 2

 

Given:

Number of students = 65 

Total rupees distributed among them = 39 Rs.

Each boy gets  = 80 paise 

each girls gets = 30 paise 

The ratio of number of boys to number of girls in the class = ?

Calculation :

1 rupee = 100 paise  then ,

39 rupees × 100 = 3900 paise 

Average money per students = 3900/65 = 60 paise

Applying the allegation rule 

⇒ (80 - 60) / (60 - 30) = 2/3

Boys : Girls = 3 : 2 

Number of boys = (65 × 3) /(3 + 2) = 39 

Number of girls = total students - number of boys 

⇒ 65 - 39 = 26 

∴ The ratio of number of boys to number of girls respectively = 39/26 = 3 : 2