Verified answer

(a) An old product is originally priced at 990.00 is marked up by 45% . What is the sale price?

(b) At a sale, shirts were sold for 400.00 each. This price was 20% of their original price. What was the original price?

(a)

• Selling price = Original price (100 + profit%) / 100
• Selling price = 990.00 (100 + 45%) /100
• Selling price = 990.00 (100 + 0.45) /100
• Selling price = 990.00 × 100.45 /100
• Selling price= 99,445.5 ÷ 100
• Selling price = 994.45

(b)

• New price = (1 ± r) Original price
• 400.00 = (1 - 0.20) x
• 400.00 = (0.8) x
• 400.00 ÷ 0.8 = 0.8x ÷ 0.8
• 500.00 = x

Hence, for #1. the sale price is Php 994.45 and for #2. the original price is Php 500.00

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