Data Interpretation - Pie Charts - Discussion

Study the following graph carefully and answer the questions given below:

Distribution of candidates who were enrolled for MBA entrance exam and the candidates (out of those enrolled) who passed the exam in different institutes:

2. 

Which institute has the highest percentage of candidates passed to the candidates enrolled?

[A]. Q
[B]. R
[C]. V
[D]. T

Answer: Option B

Explanation:

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.


Raymond said: (Jul 5, 2011)  
Is there any shortcut method to solve this problem?

Geethu said: (Jul 21, 2011)  
This problem is time consuming. Is there any trick to solve these problem. ?

Mukesh said: (Aug 11, 2011)  
If we consider ( (5700/8550) *100) to be constant x, then we have to compare only the ratio of percentages. That could be easy enough !

Madan said: (Jan 19, 2012)  
@Mukesh: Can you please elaborate your answer?

Sivasankari Boobalan said: (May 13, 2013)  
This problem take more time is there any short cut method?

Nishad Mullah said: (Jul 10, 2013)  
As simple as.

Passed no. /enrolled no.

1) 18/22 = 0.8181.

2) 17/15 = 1.1333.

3) 13/10 = 1.3.

4) 16/17 = 0.94.

5) 9/8 = 1.125.

6) 15/12 = 1.25.

7) 12/16 = 0.75.

In above example 1.1333 is highest no. So answer will be 2 no.

Harkesh said: (Apr 1, 2014)  
@Nishad Mullah : But here 1.25 is greater than 1.13.

Abcde said: (May 3, 2014)  
@Harkesh answer is (3) 1.3. which is right.

@Nishad has the shortest way. I feel there is no way shorter than this. This set was time consuming.

Gurmeet said: (May 23, 2014)  
@Nishad Mullah's formula is best.

By mistaken he wrote 1.1333 is highest number. The actual highest no.is 1.3, which is showing in his calculation.

Vinod said: (Jun 20, 2014)  
Difference b/w numerator and denominator is max.

Arpan said: (Jul 8, 2015)  
Check with options only.

Q: 17/15 = 1.1333.
R: 13/10 = 1.3.
V: 15/12 = 1.25.
T: 9/8 = 1.125.

Pravin said: (Jan 14, 2017)  
Q:17/15 =(1+7)/(1+5) = 8/6 = 1.13.
R:13/10 =1.30.
V:15/12 = 5/4 = 1.2.
T:9/8 = 1.1.
Also you need not calculate 2 digits as after decimal as its clear if u get anything below 1.3.

Chanchal said: (Feb 22, 2017)  
Thanks for the best shortcut @Nishad.

Gursheel said: (Mar 14, 2017)  
Great work, thanks for shortcut @Nishad.

Shubhu said: (Apr 11, 2018)  
@Pravin.

8/6= 1.3 not 1.13.

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