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
D. 2.42
Answer: Option C
Solution (By Examveda Team)
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.
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To calculate *Operating Leverage*, we use the formula:
*Degree of Operating Leverage (DOL) = Contribution / EBIT*
Where:
- *Contribution = Sales – Variable Costs*
- *EBIT = Contribution – Fixed Costs*
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*Given:*
- Sales = Rs. 74 lakh
- Variable Cost = Rs. 40 lakh
- Fixed Cost = Rs. 8 lakh
*Step 1: Contribution = 74 – 40 = Rs. 34 lakh*
*Step 2: EBIT = 34 – 8 = Rs. 26 lakh*
*Step 3: DOL = Contribution / EBIT = 34 / 26 = 1.31*
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*Correct answer: C. 1.31* ✅