Analyzing Company Performance in 2021

The question asks for the approximate percentage of profit or loss for all five companies (A, B, C, D, and E) taken together in the year 2021. We are given the income and expenditure for each company and the formula for calculating profit/loss percentage.

The formula for profit/loss percentage is: $$\text{(Profit/Loss) %} = \frac{\text{(Income - Expenditure)}}{\text{Expenditure}} \times 100$$

First, let's look at the provided data for the income and expenditure of each company:

Calculating Total Income and Expenditure for All Companies

To find the combined profit or loss for all five companies, we need to calculate the total income and total expenditure for all companies taken together in 2021.

Total Income = Income(A) + Income(B) + Income(C) + Income(D) + Income(E)

Total Income = $$35 + 50 + 40 + 40 + 50$$ million Rs.

Total Income = $$215$$ million Rs.

Total Expenditure = Expenditure(A) + Expenditure(B) + Expenditure(C) + Expenditure(D) + Expenditure(E)

Total Expenditure = $$45 + 40 + 45 + 30 + 45$$ million Rs.

Total Expenditure = $$205$$ million Rs.

Calculating Overall Profit or Loss

Now we compare the total income and total expenditure to determine if there was a combined profit or loss for all five companies in 2021.

Combined Profit/Loss = Total Income - Total Expenditure

Combined Profit/Loss = $$215 - 205$$ million Rs.

Combined Profit/Loss = $$10$$ million Rs.

Since the Total Income ($$215$$ million Rs.) is greater than the Total Expenditure ($$205$$ million Rs.), the combined result is a profit of $$10$$ million Rs.

Calculating the Approximate Percentage Profit

Using the given formula, we can now calculate the approximate percentage profit for all five companies combined based on their total income and total expenditure in 2021.

Overall Percentage Profit = $$\frac{\text{(Total Income - Total Expenditure)}}{\text{Total Expenditure}} \times 100$$

Overall Percentage Profit = $$\frac{(215 - 205)}{205} \times 100$$

Overall Percentage Profit = $$\frac{10}{205} \times 100$$

Overall Percentage Profit = $$\frac{1000}{205}$$

Let's calculate the approximate value:

$$\frac{1000}{205} \approx 4.878$$

The approximate percentage profit for all five companies taken together is about $$4.878\%$$. Looking at the options provided, this value is closest to $$5\%$$. Since the total income was greater than the total expenditure, it is a profit.

Final Answer Summary

Based on the calculations, the total income of the five companies in 2021 was $$215$$ million Rs., and the total expenditure was $$205$$ million Rs. This resulted in a total profit of $$10$$ million Rs. The approximate percentage profit is calculated as $$\frac{10}{205} \times 100 \approx 4.878\%$$, which is approximately $$5\%$$.

The approximate percentage of profit/loss of all the five companies taken together was approximately $$5\%$$ profit.

Revision Table: Key Calculations for 2021 Performance

Additional Information: Understanding Profit and Loss

Profit and loss are fundamental concepts in business and finance, indicating the financial performance of an entity over a specific period, such as a year. They are determined by comparing the total income generated with the total expenses incurred.

• Income: This refers to the total revenue earned from sales of goods or services, as well as other sources like investments.
• Expenditure: This includes all the costs and expenses incurred in the process of earning that income, such as operating costs, salaries, rent, materials, etc.
• Profit: A profit occurs when the total income is greater than the total expenditure. It means the company has earned more than it spent. The profit is the difference between income and expenditure.
• Loss: A loss occurs when the total income is less than the total expenditure. It means the company has spent more than it earned. The loss is the difference between expenditure and income.
• Percentage Profit/Loss: This metric expresses the profit or loss as a percentage of the expenditure. It is a useful way to compare the profitability of different companies or the performance over different periods, relative to the size of their operations (represented by expenditure). A positive percentage indicates profit, while a negative percentage indicates loss (though often calculated as a positive value and stated as "loss percent"). The formula used in the question is standard for this calculation.