Data Interpretation MCQ Questions and Answers - Line Chart

Profit percent earned by company B in 2009 = 35%
Profit percent earned by company B in 2010 = 50%
Expenditure of company B in 2009 = 12 lakhs
Expenditure of company B in 2010 = 14.5 lakhs
Income of company B in 2009
$$\eqalign{ & 35\% = \frac{I - E}{E}\times100 \cr & \Rightarrow 35 = \frac{I - 12\text{ lakh}}{12\text{ lakh}}\times100 \cr & \Rightarrow \left(35\times12\right)\text{lakh} = 100I-1200\text{ lakh} \cr & \Rightarrow 420\text{ lakh} = 100I - 1200 \text{ lakh} \cr & \Rightarrow I = 16.20 \text{ lakh} \cr & \text{Income of company B in 2009} \cr & 50\% = \frac{I - E}{E}\times100 \cr & \Rightarrow 50 = \frac{I - 14.5\text{ lakh}}{14.5\text{ lakh}}\times100 \cr & \Rightarrow \left(50\times14.5\right)\text{lakh} = 100I-14.50\text{ lakh} \cr & \Rightarrow 2175\text{ lakh} = 100I \text{ lakh} \cr & \Rightarrow I = 21.75 \text{ lakh} \cr} $$
So,
Total income of company B in 2009 and 2010
= 16.2 + 21.75
= Rs. 37.95 lakhs

Solution cannot be determined because profit percentage of company A in all the years are not given.

$$\eqalign{ & \text{In 2010, 50} = \frac{2-E_1}{E_1}\times100 \cr & \Rightarrow 50\,E_1= 200-100\,E_1 \cr & \Rightarrow 150\,E_1 = 200 \cr & \Rightarrow E_1 = \frac{4}{3} \cr & \text{In 2011, 45} = \frac{3-E_2}{E_2}\times100 \cr & \Rightarrow 45\,E_2 = 300 - 100\,E_2 \cr & \Rightarrow 145\,E_2=300 \cr & \Rightarrow E_2= \frac{300}{145} \cr & \text{Then, }\frac{E_1}{E_2} = \frac{4}{3}\times\frac{145}{300} \cr & \Rightarrow \frac{E_1}{E_2} = \frac{29}{45} \cr & \Rightarrow E_1:E_2=29:45 \cr} $$

$$\eqalign{ & \text{For company A, In 2012} \cr & P\% = \frac{I-E}{E}\times100 \cr & \Rightarrow 30 = \frac{I-3}{3}\times100 \cr & \Rightarrow 90 = 100I-300\cr & \Rightarrow \frac{390}{100} = I \cr & \Rightarrow I = 3.9 \cr & \text{For company B, In 2012} \cr & P\% = \frac{I-E}{E}\times100 \cr & \Rightarrow 40 = \frac{I-4}{4}\times100 \cr & \Rightarrow 160 = 100I-400 \cr & \Rightarrow \frac{560}{100} = I \cr & \Rightarrow I = 5.6 \cr & \text{Then required ratio} \cr & = \frac{3.9}{5.6} \cr & = \frac{39}{56} \cr & = 39:56 \cr} $$

Let the income of company A in 2013 = $$x$$
Let the income of company B in 2013 = (5.7 - $$x$$)
Expenditure of company A = Expenditure of company B
$$\eqalign{ & =E\, \frac{40}{100}-\frac{x-E}{E}\times100 \cr & \frac{x}{E} = 1.4\,\, . . . . . \,\left(\text{i}\right) \text{ and} \cr & \frac{45}{100} = \frac{\left(5.7-x\right)-E}{E} \cr & \Rightarrow \frac{5.7-x}{E} = 14.5\,\, . . . . .\, \left(\text{ii}\right) \cr & \text{Divide equation (ii) by (i) we get} \cr & \Rightarrow \frac{5.7-x}{E}\times\frac{E}{x}=\frac{145}{140} \cr & \Rightarrow \frac{5.7x}{x}=\frac{145}{140} \cr & \Rightarrow 5.7\times140-140x=145x \cr & \Rightarrow 798 = 285x \cr & \Rightarrow x = 2.8 \text{ lakhs} \cr & \because \frac{x}{E} = 1.4 \cr & E = 2 \text{ lakhs} \cr & \text{Total expenditure of two companies} \cr & =2+2 \cr & = 4 \text{ lakhs} \cr} $$