Questions to Practice Quantitative Techniques on Line Chart

Questions to Practice Quantitative Techniques on Line Chart

  • Following line chart depicts the profit​​ (in​​ Crores)​​ made by three companies Amul, Nestle and Kissan over the period of 5 years. Analyse the chart and answer the questions that follow.

  • By what percentage has the profit of Amul increased from 2011 to 2015?

  • Calculate the ratio of profit of Nestle in 2013 and 2014 to Profit of Kissan in 2011 and 2012?

  • How much more​​ profit​​ Amul or Kissan should have made each year to have equal profits at the end of five years?

  • Calculate the ratio of average​​ profit of​​ Amul and Nestle over the years?

  • By what percentage​​ was the profit Kissan more in 2012 than the profit of Nestle in 2012?

Following line chart depicts the​​ Revenue​​ (in crores)​​ and Expenditure​​ (in crores) of​​ Carrier Pvt. Ltd.​​ over the period of 5 years. Analyse the chart and answer the questions that follow.

 ​​ ​​ ​​​​ 

  • What is the average difference between Revenue and expenditure in 2015 and 2016?

  • By what percentage has the Revenue increased from 2015 to 2016?

  • Calculate the ratio of Expenditure in 2015 to expenditure in 2019?

  • In how many years, did the expenditure​​ exceed the Revenue?

  • Calculate the ratio of average of expenditure to average of revenue?

ANSWERS WITH EXPLANATIONS

  • Profit of Amul in 2011 = 1100 Cr

Profit of Amul in 2015 = 1800 Cr

Percentage increase in Profit = [(1800 – 1100)/1100] * 100

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = (700/1100)*100

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 63.6%

 

  • Profit of Nestle in 2013 and 2014 = 1600+1100 = 2700 Cr.

Profit of Kissan in 2011 and 2012 = 1400 + 2000 = 3400 Cr.

Required Ratio = 2700: 3400 = 27:34

 

  • Total profit of Amul​​ = 1100​​ + 1500 + 1700+ 1300 + 1800 = 7400 Cr.

Total Profit of Kissan = 1400+ 2000+1600+ 1300+ 1500 = 7800 Cr.

Kissan’s Profit is 400 Cr more than Amul’s Profit.

For equal Profits, Amul should have made 400 Cr. more profit.

Each year more profit that should have been made = 400/5 = 80 Cr.

 

  • Average Profit of Amul​​ = 7400/ 5 = 1480 Cr.

Average Profit of Nestle =​​ 6700/5 = 1340 Cr.

Required Ratio = 1480/ 1340 = 74:67

 

  • Profit of Kissan in 2012 = 2000

Profit of Nestle in 2012 = 1200

Required Percentage = [(2000 – 1200)/ 1200] * 100

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = (800/1200)*100

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 66.6%

 

  • Difference between Revenue and Expenditure in 2015 = 600- 400 = 200 Cr

Difference between Revenue and Expenditure in 2016 = 1000- 800 = 200 Cr

Average Difference = 400/ 2 = 200 Cr.

 

  • Percentage increase in Revenue = [(1000-600)/600] *100

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ =​​ 66.66%

 

  • Expenditure in 2015 = 400 Cr.

Expenditure in 2019 = 500 Cr.

Ratio = 400:500 = 4:5

 

  • Since there is just one point of where Expenditure line graph is pointed higher than the revenue line graph, therefore there is just one year i.e. 2017 where the expenditure exceeded the revenue.​​ 

 

  • Average of Expenditure = 3300/5 = 660 Cr

Average of revenue = 4100/5​​ = 820​​ Cr.

Required Ratio =​​ 660:​​ 820 = 33:41

 

 

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