Question : The pie chart given below shows the number of teachers in five universities. The total number of teachers in all these five universities is 720. The number of teachers in a particular university is shown in terms of degree with respect to the total number of teachers in all these five universities.
J1 = The value of the average number of teachers in B and C
J2 = The value of the average number of teachers in A and E
What is the value of (J2 + J1)?
Option 1: 210
Option 2: 290
Option 3: 250
Option 4: 240
Correct Answer: 290
Solution :
The total number of teachers in all these five universities is 720.
J1 = The value of the average number of teachers in B and C
From the given pie- chart,
⇒ Number of teachers in University B $=\frac{30°}{360°}\times720=60$
⇒ Number of teachers in University C $=\frac{120°}{360°}\times720=240$
$\therefore$ Average $=\frac{60+240}{2}=150$
J2 = The value of the average number of teachers in A and E
⇒ Number of teachers in University A $=\frac{40°}{360°}\times720=80$
⇒ Number of teachers in University E $=\frac{100°}{360°}\times720=200$
$\therefore$ Average $=\frac{200+80}{2}=140$
So, J2 + J1 = 150 + 140 = 290
Hence, the correct answer is 290.
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