DILR – Data Interpretation – The multi-layered pie-chart below

The following set contains four questions related to Logical Reasoning. Choose the best answer to each question.

The multi-layered pie-chart below shows the sales of LED television sets for a big retail electronics outlet during 2016 and 2017. The outer layer shows the monthly sales during this period, with each label showing the month followed by sales figure of that month. For some months, the sales figures are not given in the chart. The middle-layer shows quarter-wise aggregate sales figures (in some cases, aggregate quarter-wise sales numbers are not given next to the quarter). The innermost layer shows annual sales. It is known that the sales figures during the three months of the second quarter (April, May, June) of 2016 form an arithmetic progression, as do the three monthly sales figures in the fourth quarter (October, November, December) of that year.

Questions

Q 1. What is the percentage increase in sales in December 2017 as compared to the sales in December 2016?
a) 38.46
b) 22.22
c) 50.00
d) 28.57

Q 2. In which quarter of 2017 was the percentage increase in sales from the same quarter of 2016 the highest?
a) Q4
b) Q1
c) Q2
d) Q3

Q 3. During which quarter was the percentage decrease in sales from the previous quarter’s sales the highest?
a) Q2 of 2016
b) Q2 of 2017
c) Q4 of 2017
d) Q1 of 2017

Q 4. During which month was the percentage increase in sales from the previous month’s sales the highest?
a) October of 2017
b) October of 2016
c) March of 2016
d) March of 2017

Solutions:

The information given in pie –chart can be represented in table form as following :

	Month/sales figure in	2016	2017
Q1	January	80	120
	February	60	100
	March	100	160
Q2	April	40	60
	May		75
	June		65
Q3	July	75	60
	August	120	Â
	September	55	70
Q4	October	100	150
	November	Â	170
	December	Â	Â

 
Now as given Sales figure in 2017 Q4 = 500
So sales figure in December 2017 = 500 – 150 – 170 = 180
Total sales in 2017 Q3 = 220
So sales in August 2017 = 220 – 60 – 70 = 90
Similarly sales in missing month of 2016 can be obtained as sales in the three months of 2016 Q4 & Q2 are in Arithmetic Progression. Thus following table can be obtained –
 

	Month/year	2016		2017
Q1	January	80	240	120	380
	February	60		100
	March	100		160
	April	40	150	60	200
Q2	May	50		75
	June	60		65
Q3	July	75	250	60	220
	August	120		90
	September	55		70
Q4	October	100	300	150	500
	November	120		170
	December	140		180

Question 1) required percentage increase = (180 – 140)/140×100 =40/140×100=28.57%
Correct option d) 28.57 %
Question 2) it can be seen that the required percentage increase in sales is highest for Q4 and this is = ((500-300))/300×100=66.66%
Correct option a) Q4
Question 3) From the table obtained , we can see there is decrease only in Q2 of both year
Decrease in Q2- 2016 = (240-150)/240×100=37.5%
Decrease in Q2- 2017 = (380-200)/380×100=47.37%
Correct option b) Q2 of 2017
Question 4) As given options are only for may and October and we can see that sales in October 2017 is more than double ( from 70 in November to 150 in October ) so it is highest than other given month .
Correct option a) October 2017

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Coded Inequality – Tips and Tricks to Solve Questions in Logical Reasoning
CAT Concepts – Introduction to Data Sufficiency
Basics of Data Interpretation – Approximation
How to prepare for LRDI
How to prepare for Logical Reasoning
How to Prepare for Data Interpretation

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