# 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

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 !

 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.