Question : The pie chart given below shows the number of students studying in six schools. The total number of students studying in all these six schools is 7000. The number of students studying in a particular school is shown as a percentage of the total number of students studying in all these six schools.
What is the difference between the average number of students studying in schools K and L and the average number of students studying in schools M and N?
Option 1: 85
Option 2: 90
Option 3: 105
Option 4: 115
Correct Answer: 105
Solution :
From the pie chart, we know the percentage of students in each school.
The number of students studying in:
School K: 15% of 7000 = 1050 students
School L: 24% of 7000 = 1680 students
School M: 36% of 7000 = 2520 students
School N: 6% of 7000 = 420 students
The average number of students in schools K and L = $\frac{(1050 + 1680)}{2}$ = 1365
The average number of students in schools M and N = $\frac{(2520 + 420)}{2}$ = 1470
The difference between these averages = 1470 – 1365 = 105
Hence, the correct answer is 105.
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