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Question

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

Year % Profit Earned
AB
201320 %35 %
201432 %30 %
201540 %50 %
201625 %40 %
201730 %30 %
201815 %40 %

[Where profit % = $\frac{Income − Expenditure}{Expenditure} × 100]$

If the expenditure of company B in the year 2013 was ₹ 17 lakhs, then what was its income in that year?

This question was previously asked in
UGC NET 2019 Paper 1 Question Paper (5-Dec-2019) (Shift 2)
The correct answer is

₹ 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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