Questions to Practice Line Chart for CLAT 2020 Quantitative Techniques

Questions to Practice Line Chart for CLAT 2020 Quantitative Techniques

  • Following line chart depicts the money spent (in Crores) for the Raw Materials, Labour and Miscellaneous​​ Department of a Factory over the years.​​ Analyse the chart and answer the questions that follow.

 

  • In which year was the total money spent in all three departments the least?

  • The year when total money spent in all the 3 departments was the highest, was by what percentage more than the year when total money spent in all the 3 departments was the least?

  • Calculate the ratio​​ of average​​ of total money spent in​​ Misc.​​ Department to average of total money spent in Raw Materials department?

  • If the Factory owner wants to make a profit of 30% in 2005, calculate the total Selling Price?

  • By what percentage did the money spent in Labour department increase from 2003 to 2004?

  • Following line chart depicts the average marks obtained by male candidates​​ and female candidates​​ over the years in a competitive exam. Analyse the chart and answer the questions that follow.

 

  • By what percentage did the average marks scored by​​ male candidates dropped from 2016 to 2017?

  • How many times has the average marks scored by male candidates is equal to the average marks scored by female candidates?

  • In 2016, by what percentage did the male candidates score more than the female candidates?

  • Find the difference between ​​ percentage​​ drop (2013 to 2014)​​ in​​ marks scored by female candidate​​ and ​​ the percentage drop​​ (2013 to 2014)​​ in​​ marks scored by male candidates?

  • Calculate the ratio of the averages of marks scored by male candidates to marks scored by female candidate?

 

Answers with Explanations

  • Money spent in all 3 departments is least in Year 2001​​ 

Money spent in all 3 departments in 2001 = 40+ 30+50 = 120 Crore

 

  • Total money spent was least in 2001 = 120 Crores

Total money spent was highest in ​​ 2005 = 70+ 35+65 = 170 Crore

Required Percentage = [(170-120)/ 120]*100 = 41.6%

 

  • Average of money spent in Misc Department = 285/5 = 57 Crores

Average of money spent in Raw materials department = 270/5 =​​ 54 Crore

Required Ratio =57:54

 

  • Total cost Price in 2005 = 170 Crore

Selling Price = Cost Price + profit

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ =170 + (30/100)*170

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 170 + 51

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 221 Crore

 

  • Required​​ percentage = [(40-30)/30] *100

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 33.3%

 

  • Required percentage =​​ [(85-60)/85]*100

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ =  ​​​​ (25/85)*100

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ =​​ 29.4%

 

  • Average marks scored by male and female candidates is equal in two years i.e. 2013 nd 2015. In 2013, both male and female candidate have scored 70 marks and in 2015, both male and female candidate have scored 80 marks.

 

  • Required Percentage = [(85-75)/ 75 ] * 100

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = ​​ (10/75)*100​​ 

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ =​​ 13.33%

 

  • Percentage drop in case of male candidate = [(70-55)/70] *100

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = (15/70)*100

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ =  ​​​​ 21.4%

Percentage drop in case of female students = [(70-65)/70] *100

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = (5/70)*100

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 7.14%

Difference = 21.4 – 7.14 = 14.26%

 

  • Average of marks scored by male candidates = 350/5 = 70

Average of marks scored by female candidates = 375/5 = 75

Required ratio = 70:75 = 14:15

 

 

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Read the theory on Simple and Compound Interest here.

Read our other posts on Quantitative Techniques Question Pattern and Test Papers.

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