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Commerce · Q121

Business Finance

Graduate and Post Graduate · Commerce · question 121

Q121

The sales of a firm are Rs. 74 Iakh, the variable costs are Rs. 40 lakh, the fixed costs are Rs. 8 Iakh. The operating leverage of the firm will be

A.
1.48
B.
1.78
C.
1.31
Answer
D.
2.42

Answer: Option C

Solution

Answer: Option C
Solution:
First, let's understand what operating leverage is. It basically measures how sensitive a company's operating income (profit from its core business) is to changes in sales. A high operating leverage means a small change in sales can lead to a big change in profit.
To calculate operating leverage, we use a simple formula:
Operating Leverage = Contribution Margin / Earnings Before Interest and Taxes (EBIT)
Let's find each of these components.
1. Contribution Margin: This is the difference between your sales revenue and your variable costs.
In this case: Contribution Margin = Sales - Variable Costs = Rs. 74 lakh - Rs. 40 lakh = Rs. 34 lakh
2. Earnings Before Interest and Taxes (EBIT): This is also known as operating income or operating profit. It's what's left after you subtract both variable and fixed costs from your sales.
EBIT = Sales - Variable Costs - Fixed Costs = Rs. 74 lakh - Rs. 40 lakh - Rs. 8 lakh = Rs. 26 lakh
Now we can plug these values into the operating leverage formula:
Operating Leverage = Rs. 34 lakh / Rs. 26 lakh = 1.3076
Rounding this value we get 1.31
Therefore, the operating leverage of the firm is approximately 1.31.
So, the correct answer is Option C: 1.31.