The following table shows the Income (in lakh) and percentage (%) profit of a company over the six years from 2017 to 2022. Based on the data in the table, answer the questions that follow.

Year-wise Income and Profit of a Company

Year	Income (in ₹ lakh)	Profit (%)
2017	120	7.5
2018	160	15
2019	130	22.5
2020	170	17.5
2021	190	20
2022	150	27.5

Approximately what was the expenditure in 2018?

The correct option is 140 lakh.

Step-by-step Explanation:

To find the expenditure of the company in the year 2018, we can use the standard relationship between Income, Expenditure, and Profit Percentage.

The formula for Profit Percentage is:
$$\text{Profit Percentage (\%)}=\frac{\text{Income}-\text{Expenditure}}{\text{Expenditure}}\times 100$$

From the table, we can identify the following values for the year 2018:
• Income = 160 lakh
• Profit Percentage = 15%

Let the Expenditure be represented by E. Substituting these values into the formula:
$$15=\frac{160-E}{E}\times 100$$

Now, we solve for E step-by-step:

Divide both sides by 100:
$$\frac{15}{100}=\frac{\mathrm{160<!--\; <mo-->-\; <mi>E</mi>}}{E}$$
$$0.15=\frac{160}{E}-1$$

Add 1 to both sides:
$$1.15=\frac{160}{E}$$

Rearrange the equation to solve for E:
$$E=\frac{160}{1.15}$$

Calculate the value of E:
$$E\approx 139.13\text{lakh}$$

Since the question asks for the approximate expenditure, we round 139.13 lakh to the nearest option, which is 140 lakh.