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Loss – When Selling Price Is Less Than Cost Price

A loss occurs when something is sold for less than it cost. Just as with profit, the loss is expressed as a percentage of the cost price so that different transactions can be compared fairly.

Businesses deliberately sell items at a loss more often than people realise — clearance sales, perishable stock nearing its expiry date, and “loss leader” products (priced below cost specifically to draw customers into a shop who then buy other, profitable items) are all everyday examples. Retailers track loss percentage just as carefully as profit percentage, since knowing exactly how much value is being given away is essential for deciding whether a sale or write-down is still commercially sensible.

Key Terms

TermMeaning
Cost Price (CP)What you paid to buy or make the item
Selling Price (SP)What you sold the item for
LossCP minus SP (when CP is greater than SP)
Loss %Loss expressed as a percentage of the cost price

Formulas

Loss = Cost Price minus Selling Price. Loss % = (Loss / Cost Price) times 100.

Worked Examples

A laptop bought for 900 is sold for 675.

Loss = 900 - 675 = 225. Loss % = (225 / 900) times 100 = 25%.

A car bought for 12,000 is sold for 9,600.

Loss = 12000 - 9600 = 2400. Loss % = (2400 / 12000) times 100 = 20%.

Find the selling price if CP = 500 and loss = 15%.

Loss amount = 15% of 500 = 75. SP = 500 - 75 = 425. Or: SP = 500 times 0.85 = 425.

Find the cost price if SP = 357 and loss = 10%.

SP = CP times 0.90. CP = 357 / 0.90 = 396.67.

Loss vs Profit Comparison

ProfitLoss
WhenSP greater than CPSP less than CP
AmountSP - CPCP - SP
% Formula(Profit/CP) x 100(Loss/CP) x 100
Multiplier1 + rate/1001 - rate/100

Key Takeaways

  • Loss = CP minus SP. CP is always greater when there is a loss.
  • Loss% is always calculated on the cost price.
  • To find SP given CP and loss%: SP = CP times (1 - loss%/100).
  • To find CP given SP and loss%: CP = SP / (1 - loss%/100).

Practice: Loss

Find the Loss Percentage

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