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Study the given pie charts and answer the question that follows. The pie charts show the distribution of students of graduate and post graduate levels in five different institutes P, Q, R, S and T in a town. (i) Total number of students of graduate level in five different institutes = 12400   (ii) Total number of students of post graduate level in five different institutes = 8000   The difference between the average number of students of graduate level in institutes P, R and T to the average of students of postgraduate level in institutes P, R and T is:

Study the given pie charts and answer the question that follows. The pie charts show the distribution of students of graduate and post graduate levels in five different institutes P, Q, R, S and T in a town. (i) Total number of students of graduate level in five different institutes = 12400   (ii) Total number of students of post graduate level in five different institutes = 8000   The difference between the average number of students of graduate level in institutes P, R and T to the average of students of postgraduate level in institutes P, R and T is: Correct Answer 428

Calculation:

Total number of students of graduate level in five different institutes = 12400

Total number of students of graduate level in P, R and T = (25 + 14 + 12)% = 51%

⇒ (12400 × 51/100)

⇒ 6324

The average number of students of graduate level in P, R and T = (6324/3)

⇒ 2108

Now,

Total number of students of post graduate level in five different institutes = 8000

Total number of students of post graduate level in P, R and T = (36 + 17 + 10)% = 63%

⇒ (8000 × 63/100)

⇒ 5040

The average number of students of post graduate level in P, R and T = (5040/3)

⇒ 1680

Now,

The difference between the average number of students of graduate level in institutes P, R and T to the average of students of postgraduate level in institutes P, R and T = (2108 – 1680)

⇒ 428

∴ The required difference is 428

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