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 expenditure of company B in the year 2013 was ₹ 17 lakhs, then what was its income in that year?
₹ 22.95 lakhs
To find the income of Company B in the year 2013, we need to use the given formula for profit percentage:
\[\text{Profit \%} = \frac{\text{Income} - \text{Expenditure}}{\text{Expenditure}} \times 100\]From the data provided, we know:
- The profit percentage for Company B in 2013 is 35%
- The expenditure of Company B in 2013 is ₹17 lakhs
We can substitute these values into the formula to find the income:
\[\begin{align*} 35 &= \frac{\text{Income} - 17}{17} \times 100 \\ 0.35 &= \frac{\text{Income} - 17}{17} \\ 0.35 \times 17 &= \text{Income} - 17 \\ 5.95 &= \text{Income} - 17 \\ \text{Income} &= 5.95 + 17 \\ \text{Income} &= 22.95 \end{align*}\]Thus, the income of Company B in 2013 was ₹22.95 lakhs.
The correct option is: ₹22.95 lakhs.
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