How to Calculate Additional Units Needed After a Discount

To determine how many more items you need to sell to make the same revenue after applying a discount, you can use this simplified formula:

Where:

1. Original Revenue is the revenue before the discount.
2. Discounted Price is the price after the discount.
3. Original Units is the number of units sold before the discount.

For a general case, if the original price is P and the original units sold are U, the formula becomes:

Where D is the discount percentage.

This formula helps you calculate how many more items you need to sell to achieve the same revenue after applying a discount.

Here is a table showing the additional units needed for discounts ranging from 1% to 100%:

This table indicates how many additional units you need to sell to maintain the same revenue for each discount percentage from 1% to 100%.

Citations:
[1] https://www.wolframalpha.com/input?input=Let+original_price+%3D+x%3B+total_revenue+%3D+x+%2A+original_units%3B+discounted_price+%3D+0.9+%2A+x%3B+additional_units_needed+%3D+total_revenue+%2F+discounted_price+-+original_units
[2] https://www.wolframalpha.com/input?input=calculate+units+needed+after+x%25+discount+for+original+price+x+and+original+units+sold+y

Kevin Harrington Partner

Kevin Harrington is a Partner at Exit Factor UK, helping SME owners increase business value & build a rewarding, well-planned exit. Former CMO at BBC Worldwide.

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