The revenue and expenditure of four different companies P. Q, R and S in 2015 are shown in the figure. If the revenue of company Q in 2015 was 20% more than that in 2014 and company Q had earned a profit of 10% on expenditure in 2014, then its expenditure (in million rupees) in 2014 was ________.

The correct option is 34.1.

Step 1: Extract data from the bar chart
From the given bar chart, which shows the "Revenue and Expenditure (in million rupees) of four companies P, Q, R and S in 2015", we focus on Company Q. The pink bar representing Revenue has a value of 45, and the blue bar representing Expenditure has a value of 35.
Revenue of Company Q in 2015:

$$R_{2015}=45\text{million rupees}$$

Step 2: Find the revenue of Company Q in 2014
We are given that the revenue of company Q in 2015 was 20% more than that in 2014. If $R_{2014}$ represents the revenue in 2014, then:

$$R_{2015}=1.20\times R_{2014}$$

Substituting $R_{2015}=45$ into the equation:

$$45=1.20\times R_{2014}$$

Solving for $R_{2014}$:

$$R_{2014}=\frac{45}{1.20}=37.5\text{million rupees}$$

Step 3: Calculate the expenditure of Company Q in 2014
Let $E_{2014}$ be the expenditure of company Q in 2014. We are given that the company earned a profit of 10% on expenditure in 2014.
Since Profit = Revenue - Expenditure, a profit of 10% on expenditure means:

$$\text{Profit}=0.10\times E_{2014}$$

Therefore:

$$R_{2014}-E_{2014}=0.10\times E_{2014}$$

$$R_{2014}=1.10\times E_{2014}$$

Substituting $R_{2014}=37.5$:

$$37.5=1.10\times E_{2014}$$

Solving for $E_{2014}$:

$$E_{2014}=\frac{37.5}{1.10}=\mathrm{34.0909...}\approx 34.1\text{million rupees}$$

Thus, the expenditure of company Q in 2014 was approximately 34.1 million rupees.