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1. Study the bar chart given below and answer the following questions:
Income and Expenditure (in Rs. crore) in 2001 of five companies

If the income of company Q in 2001 was 10% more than that in 2000 and the company had earned a profit of 20% in 2000, then its expenditure in 2000 (in Rs. crore).

A. Rs. 34.34 crores

B. Rs. 28.28 crores

C. Rs. 29.09 crores

D. Rs. 30.30 crores

Solution:

\begin{aligned} Income of company Q in 2000 \\ = \frac{100}{110} \times 140 \\ = \frac{400}{11} crores \\ If expenditure in 2000 be Rs. x crores \\ Profit % \\ \Rightarrow \frac{Income - Expenditure}{Expenditure} \times 100 = \frac{\frac{400}{11} - x}{x} \\ \Rightarrow \frac{20}{100} = \frac{400 - 11 x}{11 x} \\ \Rightarrow \frac{1}{5} = \frac{400 - 11 x}{11 x} \\ \Rightarrow 5 \times 400 - 55 x = 11 x \\ \Rightarrow 66 x = 2000 \\ \Rightarrow x = \frac{2000}{66} \\ \Rightarrow x = Rs. 30.30 crores \end{aligned}

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