Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Data Interpretation & Stats

Question:

Study the line graph and answer the question that follows.

The line graph represents the number of vehicles (in thousands) manufactured by two automobile companies A and B over the years from 2010 to 2015. The X-axis represents the years and the Y-axis represents number of vehicles in thousands.

(The data shown here is only for mathematical exercise. They do not represent the actual figures of the country.)

If there was an increase of 24% in the average number of vehicles (in thousands) manufactured by Company B during 2011 to 2014 with respect to number of vehicles manufactured by Company A in 2009. then how many vehicles (in thousands) did Company A manufacture in 2009?

 

Options:

257.6

274.6

247.6

225.6

Correct Answer:

225.6

Explanation:

Average number of vehicles manufactured by company B from 2011 to 2014 = \(\frac{270+250+289+310 }{4}\)

= \(\frac{ 1119 }{4}\)

= 279.75

Average number of vehicles manufactured by company B from 2011 to 2014 is 24% more than number of vehicles manufactured by company A in 2009 .

So ,

124% of vehicles manufactured by company A in 2009 = Average number of vehicles manufactured by company B from 2011 to 2014

 124% of vehicles manufactured by company A in 2009 = \(\frac{100 }{124}\) × 279.75

= \(\frac{25 }{31}\) × 279.75

= 225.6