# Data Interpretation – Set – The multi-layered pie-chart below

## DILR – Data Interpretation – Set

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 September 55 70 Q4 October 100 150 November 170 December

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

## Online Coaching Course for CAT Exam Preparation

a) 750+ Videos covering entire CAT syllabus
b) 2 Live Classes (online) every week for doubt clarification
c) Study Material & PDFs for practice and understanding
d) 10 Mock Tests in the latest pattern
e) Previous Year Questions solved on video