60 % of the Scholars in a college are Girls. The annual pocket money of each girl Scholar is Rs. 25,000 and Boy Scholar is Rs. 35,000. What is the average annual pocket money of all the scholars in the college together?
60 % of the Scholars in a college are Girls. The annual pocket money of each girl Scholar is Rs. 25,000 and Boy Scholar is Rs. 35,000. What is the average annual pocket money of all the scholars in the college together? Correct Answer 29000
Given :
60% of the total students are girls
Average pocket money of girls is Rs. 25000
Average pocket money of boys is Rs. 35000
Formula used :
Average = (Total sum of all values of observation)/(Total number of observations)
Calculations :
Let the total number of students be 100
Total girls = 60% of 100 = 60
Total boys 40% of 100 = 40
Total income of girls = 25000 × 60 = 1500000
Total income of boys = 35000 × 40 = 1400000
Average of their income = (1500000 + 1400000)/100
⇒ 2900000/100
⇒ 29000 rupees
∴ The average income of all students is Rs. 29000