The table below presents the percentage profit earned by two companies A and B during the period 2013 to 2018. Based on the data given in the table, answer five questions that follow Yearwise percentage (%) profit [Where profit % = $\frac{Income − Expenditure}{Expenditure} × 100]$Year % Profit Earned A B 2013 20 % 35 % 2014 32 % 30 % 2015 40 % 50 % 2016 25 % 40 % 2017 30 % 30 % 2018 15 % 40 %
If the sum of expenditure of company B in the years 2014 and 2017 together is ₹ 48 lakhs, then what is the total income of company B in these two years together?
₹ 62.4 lakhs
To find the total income of Company B in the years 2014 and 2017 together, we need to utilize the given percentage profit formula and the expenditure figures.
The formula for percentage profit is given as:
\(Profit \% = \frac{Income - Expenditure}{Expenditure} \times 100\)
We are informed that the sum of expenditures for both years 2014 and 2017 is ₹48 lakhs. We need to find the incomes for both these years using the profit percentages provided in the table.
- Looking at the year 2014:
- Profit percentage for 2014 for Company B is 30%.
- Let \( E_{2014} \) be the expenditure in 2014 and \( I_{2014} \) be the income.
- For the year 2017:
- Profit percentage for 2017 for Company B is also 30%.
- Let \( E_{2017} \) be the expenditure in 2017 and \( I_{2017} \) be the income.
- We know that:
- \(E_{2014} + E_{2017} = 48\) lakhs
- Total income for both these years is:
Thus, the total income of Company B for the years 2014 and 2017 together is ₹62.4 lakhs.
Therefore, the correct answer is ₹62.4 lakhs.
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