Percentage Profit/Loss/Discount (Junior Cert Mathematics): Flashcards

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Percentage Profit/Loss/Discount
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What is percentage profit?

Money made vs cost, as % of cost price

Formula for profit

Profit=Selling Price−Cost Price\text{Profit} = \text{Selling Price} - \text{Cost Price}

Formula for percentage profit

ProfitCost Price×100\frac{\text{Profit}}{\text{Cost Price}} \times 100

What is percentage loss?

Money lost selling below cost, as % of cost price

Formula for loss

Loss=Cost Price−Selling Price\text{Loss} = \text{Cost Price} - \text{Selling Price}

Formula for percentage loss

LossCost Price×100\frac{\text{Loss}}{\text{Cost Price}} \times 100

What is percentage discount?

Reduction in price, as % of original price

Formula for discount

Discount=Original Price−Sale Price\text{Discount} = \text{Original Price} - \text{Sale Price}

Formula for percentage discount

DiscountOriginal Price×100\frac{\text{Discount}}{\text{Original Price}} \times 100

When does profit occur?

Selling price higher than cost price

When does loss occur?

Selling price lower than cost price

Denominator for % profit/loss

Cost price

Denominator for % discount

Original price

General rule for finding percentages

Always divide by original or cost price

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