CAT 2018 Question Paper | CAT LR DI

CAT Questions

Pie charts are classics when it comes to the Data Interpretation. On a general scale, pie chart looks simple, but it becomes a bit troublesome when multi-layers are plugged in. This is one such set from 2018 CAT previous year paper which involves sequences. Try this one by youself and assess where your CAT preparation stands.

CAT DILR : CAT 2018 Question Paper Slot 1

Set 4 : LED TV Sales

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.

Question 1 : What is the percentage increase in sales in December 2017 as compared to the sales in December 2016?

1. 22.22%
2. 28.57%
3. 50.00%
4. 38.46%

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Video Explanation

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Explanatory Answer

Method of solving this CAT Question on CAT DILR

Let us fill the simple numbers first.

Now, let us get to the two Arithmetic Progressions. 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.
Three terms are in AP, the middle term is the average of the three terms. So, May 2016 number is 50. And November 2016 should be 120.

Three terms are in AP, the middle term is the average of the three terms. So, May 2016 number is 50. And November 2016 should be 120.
Now, we can get the June and December numbers as well.
Dec 2016 to Dec 2017 is a leap from 140 to 180.
Growth rate = \\frac{40}{140}) × 100 = \\frac{2}{7}) in percentage terms.
Or, 28.57%

The question is "What is the percentage increase in sales in December 2017 as compared to the sales in December 2016?"

Hence, the answer is 28.57%

Choice B is the correct answer.