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UPSC CDS 1 2022 Math Paper

Question Numbers: 93-94

Direction : Consider the following data for the two (02) items that follow:

The expenditure (in lakhs of rupees) of a company for the years 2011 to 2017 is as under :

Question : 93 of 100

Marks: +1, -0

Solution:

Concept:

Percentage increase =

\frac{\text{Current year expenditure} - \text{Previous year expenditure}}{\text{Previous year expenditure}} \times 100

Explanation:

We calculate the percentage increase for each year from 2012 to 2017 compared to the previous year.

Year	Expenditure	% Increase compared to previous year
2011	13.8	–
2012	15.4	$\frac{15.4-13.8}{13.8}\times100 = 11.59\%$
2013	10.4	$\frac{10.4-15.4}{15.4}\times100 = -32.46\%$
2014	13.1	$\frac{13.1-10.4}{10.4}\times100 = 25.96\%$
2015	15.8	$\frac{15.8-13.1}{13.1}\times100 = 20.61\%$
2016	17.2	$\frac{17.2-15.8}{15.8}\times100 = 8.86\%$
2017	19.4	$\frac{19.4-17.2}{17.2}\times100 = 12.79\%$

Only the years 2014 (

25.96\% > 15\%

) and 2015 (

20.61\% > 15\%

) show an increase exceeding

15\%

So the number of such years is

2

Answer:

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