The given bar graph represents data of the production of paper (in ten lakh tonnes) by three different companies X, Y and Z during the years 2008 to 2012. The x-axis shows the 'years' and the y-axis represents the 'production of paper (ten lakh tonnes)'. (Note: The data shown is only for mathematical exercise. They do not represent actual figures.) The total production of Company Y during 2008 and 2009 and Company X for 2011 and 2012 taken together is p% (p is correct to the nearest integer) more than the total production of Company Z during 2010, 2011 and 2012. The total production of Company Z during 2008 and 2009 taken together is q% (q is correct to the nearest integer) less than the total production of Company X during 2008, 2009 and 2012 and Company Y during 2010 and 2011 all together. What is the positive difference between p and q ?
The given bar graph represents data of the production of paper (in ten lakh tonnes) by three different companies X, Y and Z during the years 2008 to 2012. The x-axis shows the 'years' and the y-axis represents the 'production of paper (ten lakh tonnes)'. (Note: The data shown is only for mathematical exercise. They do not represent actual figures.) The total production of Company Y during 2008 and 2009 and Company X for 2011 and 2012 taken together is p% (p is correct to the nearest integer) more than the total production of Company Z during 2010, 2011 and 2012. The total production of Company Z during 2008 and 2009 taken together is q% (q is correct to the nearest integer) less than the total production of Company X during 2008, 2009 and 2012 and Company Y during 2010 and 2011 all together. What is the positive difference between p and q ? Correct Answer 29
Production of company Y during 2008 and 2009 = 35 + 45
⇒ 80
Company X production for 2011 and 2012 = 40 + 50
⇒ 90
Total production of company Y and X = 80 + 90
⇒ 170
Total production of company Z , 2010, 2011 and 2012 = 55 + 45 + 45
⇒ 145
Total production of company Y during 2008 and 2009 and company X production for 2011 and 2012 is more than total production of company z, 2010, 2011 and 2012 = 170 - 145
⇒ 25
Required percentage(value of p%) = (25/145) × 100
⇒ 17%
Company Z Production during 2008 and 2009 = 45 + 50
⇒ 95
company X.production, 2008, 2009 and 2012 = 40 + 55 + 50
⇒ 145
Company Y production, 2010 and 2011 = 45 + 50
⇒ 95
Company Z production during 2008 and 2009 is less than the total production of company X production 2008, 2009 and 2012 and company Y production in 2010 and 2011 = (145 + 95) - 95
⇒ 240 - 95
⇒ 145
Required percentage(value of q) = (145/240) × 100
⇒ 60%
required difference = 60% - 17%
⇒ 43%
∴ Positive difference between p and q is 43%.