Fundamentals of Arithmetic (Leaving Cert Mathematics): Flashcards

📚Flashcards
Percentages
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Literal meaning of 'per cent'

Per hundred or out of every hundred

Convert percentage to fraction

Put over 100, simplify if possible

Convert fraction to percentage

Multiply by 100, add % symbol

Convert decimal to percentage

Multiply by 100, add % sign

Convert percentage to decimal

Divide by 100, remove % sign

Method: find percentage of quantity

Convert % to decimal, then multiply

% needed for 5% increase of amount

105% (original 100% + 5% increase)

VAT-inclusive price represents what %

More than 100% of original (100% + VAT%)

Base for profit/loss % calculations

Cost price (unless stated otherwise)

Formula: percentage profit

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

Formula: percentage loss

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

Reverse percentage method steps

Identify what % given represents, find 1%, find 100%

VAT total price equals

Original price + VAT amount (>100% of original)

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