Data Interpretation - Bar Charts - Discussion

The bar graph given below shows the sales of books (in thousand number) from six branches of a publishing company during two consecutive years 2000 and 2001.

Sales of Books (in thousand numbers) from Six Branches - B1, B2, B3, B4, B5 and B6 of a publishing Company in 2000 and 2001.

3. 

What percent of the average sales of branches B1, B2 and B3 in 2001 is the average sales of branches B1, B3 and B6 in 2000?

[A]. 75%
[B]. 77.5%
[C]. 82.5%
[D]. 87.5%

Answer: Option D

Explanation:

Average sales (in thousand number) of branches B1, B3 and B6 in 2000

    = 1 x (80 + 95 + 70) = ( 245 ) .
3 3

Average sales (in thousand number) of branches B1, B2 and B3 in 2001

    = 1 x (105 + 65 + 110) = ( 280 ) .
3 3

Therefore Required percentage = [ 245/3 x 100 ] % = ( 245 x 100 ) % = 87.5%.
280/3 280


Vaibhav said: (May 21, 2011)  
Question is Avg of 2001 % of Avg 2000 %. The answer however is other way round.

avg of 2001 (93.3) of avg of 2000 ( 81.6)
which would be 113.97

Goverdhan said: (May 27, 2011)  
Can any one tell me the short cut to solve these kind of problems, where big numbers are involved in division like the one above, 245/280= 0.875.

Indhu said: (Oct 28, 2012)  
In the question the part which asks "what percentage of", should always be considered as the denominator substitution.

Ie. What percent of part: average sales of B1, B2, B3.

Numberator: Average sales of B1, B3, B6 = 245/3 = 81. 67.

Denominator:Average sales of B1, B2, B3 = 280/3 = 93. 33.

So, numerator/denominator = (81. 67/93. 33) *100% = 0. 88*100%= 87. 5%.
Answer is D.

Srikanth said: (Apr 6, 2014)  
Please clarify why 1/3 in both cases?

Sonia said: (May 24, 2014)  
Because they have asked for the average of 3 branches only.

Arunchith said: (Jun 21, 2014)  
Please help me how can I identified the denominator year and numerator year from question like this.

Abhinav said: (Dec 11, 2014)  
Hi all,

Sales for B2 in 2000 is 75 not 70.

Amit said: (Apr 5, 2016)  
How to find the percentage?

Venky said: (Apr 13, 2016)  
@Amit, multiple the value with 100.

Asme said: (Oct 22, 2016)  
Here, there is the number on B2 in 2001 and 2000 is exchanged 70 and 65.

Laxman said: (Dec 8, 2016)  
What percent of the average sales of branches B1, B2, B3 and B4 in 2000. So what quartil use in this question?

Omkar said: (Apr 11, 2017)  
@ALL.

Because they have asked for the average of 3 branches only.

Lingasen said: (Jun 17, 2017)  
How do you determine which is the denominator and which is the numerator? Please tell me.

Sowmya said: (Aug 9, 2018)  
Thanks you so much @INDHU.

Bunny said: (Sep 27, 2018)  
What happened 3 in both the cases?

Anomie said: (Feb 26, 2019)  
Both 3 got nullify with each other like 245÷3 /280÷3 = 245÷3 * 3÷280 = hence 245÷280 * 100, we get 87.5%.

Nikita Gupta said: (May 21, 2019)  
B1, B2, B3 in 2001 should be numerators and B1, B3, B6 in 2000 should be denominator.

Venkanna Babu said: (Aug 6, 2019)  
B6 = 80.

Yee Yang said: (Aug 22, 2019)  
Why we have take 245 as numinrator rather than taking denominator?

Psp said: (Oct 21, 2020)  
Thanks @Indhu.

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