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).

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). Correct Answer Rs. 30.30 crores

$$\eqalign{& \text{Income of company Q in 2000} \cr& = \frac{100}{110}\times140 \cr& = \frac{400}{11}\text{ crores} \cr& \text{If expenditure in 2000 be Rs. x crores} \cr& \text{Profit %} \cr& \Rightarrow \frac{\text{Income - Expenditure}}{\text{Expenditure}}\times100=\frac{\frac{400}{11}-x}{x} \cr& \Rightarrow \frac{20}{100} = \frac{400-11x}{11x} \cr& \Rightarrow \frac{1}{5} = \frac{400-11x}{11x} \cr& \Rightarrow 5\times400-55x=11x \cr& \Rightarrow 66x = 2000 \cr& \Rightarrow x = \frac{2000}{66} \cr& \Rightarrow x = \text{Rs. 30.30 crores} \cr} $$

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