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Study the given pie charts and answer the question that follows. Total Number of Students appeared = 1200 Total Number of Students passed = 900 Which institute has the second highest percentage of students who passed to the students who appeared from that institute?

Study the given pie charts and answer the question that follows. Total Number of Students appeared = 1200 Total Number of Students passed = 900 Which institute has the second highest percentage of students who passed to the students who appeared from that institute? Correct Answer D

Calculation:

Total number of students appeared = 1200

Numbers of students appeared in the examination from institutes A = 72° 

⇒ (72/360 × 1200) 

⇒ 240

Numbers of students appeared in the examination from institutes B = 54° 

⇒ (54/360 × 1200) 

⇒ 180

Numbers of students appeared in the examination from institutes C = 90° 

⇒ (90/360 × 1200) 

⇒ 300

Numbers of students appeared in the examination from institutes D = 105°

⇒ (105/360 × 1200) 

⇒ 350

Numbers of students appeared in the examination from institutes E = 39°

⇒ (39/360 × 1200) 

⇒ 130

Now,

Total number of students passed = 900

Numbers of students passed in the examination from institutes A = 15%

⇒ (900 × 15/100)

⇒ 135

Numbers of students passed in the examination from institutes B = 18%

⇒ (900 × 18/100)

⇒ 162

Numbers of students passed in the examination from institutes C = 30%

⇒ (900 × 30/100)

⇒ 270

Numbers of students passed in the examination from institutes D = 28%

⇒ (900 × 28/100)

⇒ 252

Numbers of students passed in the examination from institutes E = 9%

⇒ (900 × 9/100)

⇒ 81

The percentage of students of institutes A passed to the students who appeared from that institute = (135/240 × 100)

⇒ 56.25%

The percentage of students of institutes B passed to the students who appeared from that institute = (162/180 × 100)

⇒ 90%

The percentage of students of institutes C passed to the students who appeared from that institute = (270/300 × 100)

⇒ 90%

The percentage of students of institutes D passed to the students who appeared from that institute = (252/350 × 100)

⇒ 72%

The percentage of students of institutes E passed to the students who appeared from that institute = (81/130 × 100)

⇒ 62.30%

Now,

We can see that the percentage of B and C is same which is also the highest = 90%

So, the second highest percentage of students who passed to the  students who appeared is from institute D = 72%

∴ The required answer is Institute D

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