Exercise: Pie Charts

Questions for: Pie Charts

What is the ratio of candidates passed to the candidates enrolled from institute P?
A:
9 : 11
B:
14 : 17
C:
6 : 11
D:
9 : 17
Answer: C

Required ratio = ( 18% of 5700 ) = ( 18 x 5700 ) = 6 .
22% of 8550 22 x 8550 11

What is the percentage of candidates passed to the candidates enrolled for institutes Q and R together?
A:
68%
B:
80%
C:
74%
D:
65%
Answer: B

Candidates passed from institutes Q and R together = [(13% + 17%) of 5700]
= 30% of 5700.
Candidates enrolled from institutes Q and R together = [(15% + 10%) of 8550]
= 25% of 8550.

Therefore Required Percentage
= ( 30% of 5700 x 100 ) %
25% of 8550
= ( 30 x 5700 x 100 ) %
25 x 8550
= 80%.

The number of candidates passed from institutes S and P together exceeds the number of candidates enrolled from institutes T and R together by:
A:
228
B:
279
C:
399
D:
407
Answer: C

Required difference = [(16% + 18%) of 5700] - [(8% + 10%) of 8550]
= [(34% of 5700) - (18% of 8550)]
= (1938 - 1539)
= 399.

Which institute has the highest percentage of candidates passed to the candidates enrolled?
A:
Q
B:
R
C:
V
D:
T
Answer: B

The percentage of candidates passed to candidates enrolled can be determined for each institute as under:

(i) P = [ ( 18% of 5700 ) x 100 ] % = [ 18 x 5700 x 100 ] % = 54.55%.
22% of 8550 22 x 8550

(ii) Q = [ ( 17% of 5700 ) x 100 ] % = 75.56%.
15% of 8550

(iii) R = [ ( 13% of 5700 ) x 100 ] % = 86.67%.
10% of 8550

(iv) S = [ ( 16% of 5700 ) x 100 ] % = 62.75%.
17% of 8550

(v) T = [ ( 9% of 5700 ) x 100 ] % = 75%.
8% of 8550

(vi) V = [ ( 15% of 5700 ) x 100 ] % = 83.33%.
12% of 8550

(vii) X = [ ( 12% of 5700 ) x 100 ] % = 50%.
16% of 8550

Highest of these is 86.67% corresponding to institute R.

What percentage of candidates passed the Exam from institute T out of the total number of candidates enrolled from the same institute?
A:
50%
B:
62.5%
C:
75%
D:
80%
Answer: C

Required percentage = ( 9% of 5700 x 100 ) % = ( 9 x 5700 x 100 ) % = 75%.
8% of 8550 8% of 8550

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