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Business Maths - Percentages
Year 11
Things you might remember
%•What digits can you see?•What math symbol can you see?
•Words that have cent in them?
Assumed concepts and skills
Expressing Fractions and Decimals as a % % of…. Quantities as a % of another Finding 100%
Percentage change
Text referecne
Chapter 6 Section 6.1 Page 201
% Δ - Discounts
In general, if r% discount is applied:
Discount = r × original price
100
New price = original price − discount
= (100 − r ) × original price
100
% Δ - Increases
In general, if r% increase is applied:
Discount = r × original price
100
New price = original price + increase
= (100 + r ) × original price
100
Increase - $20 CD increases by 10 %
Increase = 10% of $20
= 1/10 x 20 = $2
New cost =
original + increase
= $20 + $ 2 = $22
New Cost =
(100 + r ) × original price
100
(100 + 10) × $20
100
=(110) × $20
100
=$22
Percentage discount/Increase
Percentage discount = discount × 100 %
original price 1
Percentage increase = increase × 100 %
original price 1
An example – 5a
Nike trainers have $32 off with an original price of $249. What is the % dicount
Percentage discount = discount × 100 % original price 1
= 32 × 100 % 249
= 12.85%
Your turn
Chapter 6 Page 212 Qu1 a, d, f, h Qu2 a, d, g Qu3 b, c, f, g Qu4 a, d, e, g Qu5 c, d, e, g
Original Price
When r% discount has been applied: Original price = new price × 100
(100 − r ) When r% increase has been applied:
Original price = new price × 100
(100 + r )
Your turn
Qu6 a,b,d Qu7 B, c, d
Qu8 Qu9
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