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:

5. 

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: Option C

Explanation:

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


Dem Sel said: (Jul 11, 2011)  
How can we solve this problem? I didn't understand.

Sonam said: (Apr 28, 2012)  
How can we calculate the ratio of 1026:1881?

Leah said: (Jan 22, 2014)  
Here is another way to do it:

1. Add up 1026+1881= 2907.

2. Add up all ratios given: A, 9+11= 20 B, 14+17= 31 C, 6+11= 17 D, 9+17= 26.

3. Divide 2907 by each whole ratio, in turn then multiply by each number of the ratio. EX. A (9:11)= 2907/20= 104.85.

104.85 X 9= 943.65 WE SHOULD HAVE GOT 1026 IF THIS WAS THE CORRECT RATIO- SO IT IS NOT A.

TRY C (6:11).

2907/17= 171.
171 X 6= 1026.
171 X 11= 1881 Answer C (6:11) is Correct.

Hope this helps!

Michael said: (Oct 7, 2014)  
I also came to the answer of 6:11. I took the steps of:

1. 0.18 * 5700 = 1026.

2. 0.22 * 8550 = 1881.

3. 1026/1881 = 0.5454.

4. Then simply press the ratio button on your calculator to get the answer of 6:11.

Ajay said: (Sep 17, 2015)  
Thanks your answers, but in exam calculator not available. Please give ratio find out with correct method.

Priyal said: (Oct 15, 2015)  
How to get accurate correct answers by divide 2907/17 without using calculator please give step by step process.

Mohamed said: (Mar 2, 2016)  
Thanks Leah. You are so genius Man.

Shubham said: (Sep 17, 2016)  
It's very difficult to calculate such types of ratio tell us the shortcut for that, please.

Ankur said: (Oct 5, 2016)  
Try to look it like this,
114/209 = approx and a little bit more than 0.5 ~ as 5 * 2 = 10 which is nearby 11 of 114. Now check all the answers. Only 6/11 is the near and little bit more than 0.5 ~.

Snigdha said: (Jun 11, 2017)  
Thanks for explaining the answer @Leah.

Santosh Sahu said: (Oct 7, 2017)  
Superb trick, thank you very much @Leah.

Gauri said: (Oct 18, 2017)  
1026/1881 ( division of both with 19) = 54/99( division of both by 9) = 6/11.

Abii said: (Oct 30, 2019)  
The superb trick, thank you very much @Leah. This method is very useful for me.

Akshata Savanur said: (Dec 3, 2019)  
But how if it is divided by 3 the answer is 38:69.

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