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:

1. 

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: Option C

Explanation:

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


Mallikarjun said: (Feb 9, 2011)  
Can you explain how it comes 9*5700/8%8550*100 (plz justify 8% of 8550)

Ramesh Solanki said: (Mar 10, 2011)  
8*100/8550=684

Atin Gupta said: (Aug 6, 2011)  
@ malika arjun :

Its quite simple divide what is the total and multiply what you are getting into 100.

Abinash Agrawal said: (Sep 6, 2011)  
Can you give some formula to calculate percentage easily like.

I divide 9*5700/8*8550 then it comes finally 57/76, to this its a lengthy process. Give some sort calculation formula.

Nadhem Humash said: (Dec 2, 2011)  
(((9/100)*5700)/((8/100)*8500))/100=75%

Vinoth.V said: (Nov 7, 2013)  
10 percentage of 5700 is 570 how to calculate 9 percentage quickly?

Hardik said: (Jan 20, 2014)  
10%-1% = 9%.

So,
5700*10% = 570.
5700*1% = 57.

570-57 = 513 or 5700*9/100 = 513.

Simple said: (Jul 28, 2014)  
How do we get 8%8550?

Indu said: (Aug 11, 2014)  
Can you give some formula to calculate percentage easily like.

I divide 9*5700/8*8550 then it comes finally 57/76, to this its a lengthy process. Give some sort calculation formula.

Dharani Kumar said: (Sep 26, 2014)  
{[(9% of 100)*5700/(8% of 100)*8550]*100}% = {[9/100*8*100*5700*8550]*100}%.

={[29/38]*100}%.

= {0.76*100}%.

= Approx 76%.

Shaloo said: (Nov 19, 2014)  
Step 1: 9/360 x 5700 = 142.5.

Step 2: 8/360 x 8550 = 190.

Step 3: Percentage => 142.5/190 x 100 = 75%.

Shaloo said: (Nov 19, 2014)  
Sorry since % is given, we cant take 360. Divide it by 100 i.e.

Step 1: 9/100 x 5700 = 513.
Step 2: 8/100 x 8550 = 684.
Step 3: Percentage => 513/684 x 100 = 75%.

If the values were in degree instead of %, divide them by 360 as shown before.

Vishnu said: (Dec 1, 2014)  
Step 1:

9% of 5700.

= (10%-1%) of 5700.
= (10% of 5700) - (1% of 5700).
= ((10/100) *5700) - ( (1/100) *5700).
= 570-57.
= 513.

Step 2:

Similarly, 8% of 8550 = 684.

Step 3:

Finally, 513/684 = 0.75.

As we need percentage, multiply with 100 you will get 0.75*100 = 75%.

Nithya Lingala said: (Jan 28, 2015)  
9% of 5700 - 8%of 8550*100 = 75%.

Purva said: (Jun 12, 2015)  
9% of 5700 becomes 9% x 5700. But, 8% of 8550 remains the same. Why?

Gajanan Naik said: (Jan 19, 2016)  
(9% of 5700)/(8% of 8550)*100 = ((9/100)*5700)/((8/100)*8550)*100.

= (9*5700)/(8*8550)*100 = 0.75*100 = 75%

Madhavi.K said: (Jan 19, 2016)  
9*5700/8*8550 simplification for this.

Step 1: 9% of 5700 = (10%-1%) of 5700 it becomes (10% of 5700-1% of 5700).

= 570-57 = 513.

Step 2: 8% of 8550 = (10%-2%) of 8550.

It becomes (10% of 8550 - 2% of 8550).

= 855+171 (i.e 41% of 8550 is 85.5. So 2% of 2500 is 85.5+85.5 = 171.0).

Now last step is 513/684 = 0.75 (i.e 684) 51300 (0.75).

It becomes 51300.

Final step 0.75*100 = 75%.

Raja said: (Apr 7, 2016)  
Thanks for your explanation @Shaloo.

Pravi said: (Jan 14, 2017)  
Simple method. You get 57/76 which is further indivisible by single no. So now calculate as(5+7)/(7+6) which gives,

12/13 repeat one more time (1+2)/(1+3) equals 3/4 i.e 75%.

Emanideepreddy said: (Dec 15, 2019)  
Thanks, Madhavi for an explanation.

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