Chapter 7 - Mathematics of Buying

1. Chapter 7 - Mathematics of Buying Section 2 - Single Discount Equivalents

2. Objective 1 Express a Series Discount as an Equivalent Single Discount

3. Equivalent Single Discount • Series Discount • Convert to an equivalent single discount 15/5 19.25% 15/5 = 19.25%

4. Series Discount w/ Complements 1 of 3 • Determine the net cost using complements. • Now determine the single discount equivalent of the series discount. What are the complements of each discount? List Price: $2,350 Series Discount of : 20/10 Net Cost = ______ Original Cost: 100% Discount: - % Net Cost: 72% 28 80% and 90% $2,350 x 0.80 x 0.90 = $1,692 Net cost equivalent = 0.72

5. Series Discount w/ Complements 2 of 3 • Determine the net cost using complements. • Now determine the single discount equivalent of the series discount. What are the complements of each discount? List Price: $689 Series Discount of : 25/15 Net Cost = ______ Original Cost: 100% Discount: - % Net Cost: 63.75% 36.25 75% and 85% $689 x 0.75 x 0.85 = $439.24 Net cost equivalent = 0.6375

6. Series Discount w/ Complements 3 of 3 • Determine the net cost using complements. • Now determine the single discount equivalent of the series discount. What are the complements of each discount? List Price: $1,265 Series Discount of : 30/20 Net Cost = ______ Original Cost: 100% Discount: - % Net Cost: 56% 44 70% and 80% $1,265 x 0.70 x 0.80 = $708.40 Net cost equivalent = 0.56

7. Practice • Chapter 7, Section 2 • Pages 277 - 278 • #3 – 8 (net cost equiv. and single discount equiv. • #23, 24 applications