Question : Study the given pie charts and answer the question that follows.

Which institute has the second highest percentage of students who passed to the students who appeared from that institute?

Option 1: C

Option 2: E

Option 3: D

Option 4: B

Correct Answer: D

Solution : Number of students who appeared in the examination from institutes B = 54^\circ
= $\frac{54^\circ}{360^\circ} × 1200$
= 180
Number of students who appeared in the examination from institutes C = 90^\circ
= $\frac{90^\circ}{360^\circ} × 1200$
= 300
Number of students who appeared in the examination from institutes D = 105^\circ
= $\frac{105^\circ}{360^\circ} × 1200$
= 350
Number of students who appeared in the examination from institutes E = 39^\circ
= $\frac{39^\circ}{360^\circ} × 1200$
= 130
Number of students who passed the examination from institutes B = 18%
= $900 \times \frac{18}{100}$
= 162
Number of students who passed the examination from institutes C = 30%
= $900 \times \frac{30}{100}$
= 270
Number of students who passed the examination from institutes D = 28%
= $900 \times \frac{28}{100}$
= 252
Numbers of students who passed the examination from institutes E = 9%
= $900 \times \frac{9}{100}$
= 81
The percentage of students of institute B passed to the students who appeared from that institute = $\frac{162}{180} \times 100$
= 90%
The percentage of students of institute C passed to the students who appeared from that institute = $\frac{270}{300} \times 100$
= 90%
The percentage of students of institute D passed to the students who appeared from that institute = $\frac{252}{350} \times 100$
= 72%
The percentage of students of institutes E passed to the students who appeared from that institute = $\frac{81}{130} \times 100$
= 62.30%
So, the second highest percentage of students who passed to the students who appeared is from institute D = 72%
Hence the correct answer is D.