Instructions

Study the following graph (i) and (ii) which shows income in(₹ in crores) and percentage profit over the years 2003 to 2008, and answer the questions

Question 36

In which year was the amount of profit was maximum?

Solution

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Income = Expenditure*(1+P%) ==> Expenditure = $$\frac{Income}{1+P\%}$$.
Profit = Income - Expenditures ==> $$Income\ -\ \frac{Income}{1+P\%}=Income\times\ \left(\frac{1+P\%-1}{1+P\%}\right)=Income\times\ \left(\frac{P\%}{1+P\%}\right)$$.
This formula gives profits for all the years as:
2003 = 7.65,
2004 = 14.7
2005 = 14.36
2006 = 14
2007 = 17.87 and,
2008 = 16.66.
The year in which profit is maximum is 2007.

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