1. Business Maths - Percentages Year 11

2. Things you might remember % What digits can you see? What math symbol can you see? Words that have cent in them?

3. Assumed concepts and skills Expressing Fractions and Decimals as a % % of…. Quantities as a % of another Finding 100%

4. Percentage change

5. Text referecne Chapter 6 Section 6.1 Page 201

6. % Δ - Discounts In general, if r% discount is applied: Discount = r × original price 100 New price = original price − discount = (100 − r ) × original price 100

7. % Δ - Increases In general, if r% increase is applied: Discount = r × original price 100 New price = original price + increase = (100 + r ) × original price 100

8. 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

9. Percentage discount/Increase Percentage discount = discount × 100 % original price 1 Percentage increase = increase × 100 % original price 1

10. 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%

11. 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

12. 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 )

13. Your turn Qu6 a,b,d Qu7 B, c, d Qu8 Qu9