Question 1 OR (e)

Rise in operating profit from operating leverage

3 marks

Time to write
About 6 minutes
Topic
Leverage and EBIT-EPS analysis

Question

Question 1 OR (e) · 3 marks

The following data pertains to Orbit Ltd.

Sales₹9,60,000
Operating Expenses
Variable (30%)₹2,88,000
Fixed₹4,80,000
Interest on borrowing₹24,000

With the help of the concept of Operating Leverage, by what percentage will operating profit rise if sales increase by 10%?

Reworded from the university paper: names and figures differ, the task is the same. The original paper belongs to the University of Delhi. See DU's question bank.

Before you write

Read off the question and its marks

6 minfor 3 marks

Write it in this order

  1. 1 DOL from contribution and EBIT 2 marks 4 min
  2. 2 Percentage rise in operating profit 1 mark 2 min

Try it first. About 6 minutes for 3 marks. Write it out, then open the solution.

Solution

Hover or tap a marked figure, like 72,000, to see how it is made and where else it appears.

Operating leverage measures the effect of a change in sales on operating profit (EBIT): DOL = % change in EBIT ÷ % change in sales, which equals contribution ÷ EBIT. Interest is a financing cost and does not enter.

₹
Sales9,60,000
Less: variable expenses (30%)2,88,000
Contribution6,72,000
Less: fixed expenses4,80,000
Operating profit (EBIT)1,92,000

DOL = 6,72,000 ÷ 1,92,000 = 3.5.

DOL shows the % change in EBIT from a 1% change in sales, so EBIT changes by DOL × the % change in sales. A 10% rise in sales therefore raises operating profit by 3.5 × 10% = 35%, from ₹1,92,000 to ₹2,59,200. Check: sales ₹10,56,000 − variable ₹3,16,800 − fixed ₹4,80,000 = ₹2,59,200.

Where the 3 marks sit

#ComponentMarks
1DOL from contribution and EBIT2
2Percentage rise in operating profit1
Total3
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