A Company sells only one product at a regular price of £10.00 per unit. Variable expenses are 60 percent of sales and fixed expenses are £60,000. Management has decided to decrease the selling price to £8.75 in the hope of increasing its volume of sales.
What is the contribution / sales % when the selling price is reduced to £8.75 per unit?
What is the new break-even point in units for Style Company when the selling price is £8.75?
Given,
Selling Price = £10.00 per unit
Variable expenses = 60% of sales
So,
Variable expense = 60 % * £10
= £6 per unit
Therefore,
Contribution = Sales - Variable Cost
= £10 - £6
= £4 per unit
Revised
Selling Price = £8.75
Variable expense = £6 per unit (as computed above)
So,
Contribution Margin = Sales - Variable expense
= £8.75 - £6
= £2.75 per unit
The formula to compute the Contribution Margin Ratio (CMR) as:
CMR = Contribution Margin / Sales * 100
= £ 2.75 / £8.75 * 100
= £ 31.42%
New break even point in units
The formula to compute the new break even point as:
New Break even point = Fixed Cost / Contribution Margin
= £ 60,000 / 40%
New break even point = £150,000
Working Note:
Contributio Margin = Sales - Variable expense
Contributio Margin + Variable expense = Sales
Contributio Margin + 60% = 100%
Contribution Margin = 100% - 60%
Contribution Margin = 40%
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