Multiple Discounts

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Multiple DiscountsWhen finding multiple discounts, you must take the first discount off the original price, then take the

second discount off your answer.

Example 1A sweater that originally costs $50 was marked

30% off. The store is having a sale that gives an extra 20% off. Find the sale price.

50 • .30 = $15 off, so $35

35 • .20 = $7 off, so the final price is $28.

NOTICE THAT THE FINAL PRICE WAS NOT 50% off the original price!!! You MAY NOT simply add the percents, then multiply!!!

Example 2Find the final price of a pair of jeans that originally cost $60, were marked 35% off, and have 6% sales tax.

60 • .35 = $21 off, so the sale price is $39

$39 • 1.06 = $41.34

Example 3Lily wants to buy a TV that originally cost $75 and is 20% off and a DVD player that was $50 originally and is 15% off. The sales tax rate is 5.5%. How much money does she need?

TV: 75 • .20 = $15 off, sale price = $60DVD: 50 • .15 = $7.50 off, sale price = $42.5060 + 42.50 = 102.50, then add sales tax102.50 • 1.055 = 108.1375 or $108.14

Example 4Andrew bought a phone that had an original price of $100. It was 5% off and had 6% sales tax. How much did he pay with tax?

100 • .05 = $5 off. Sale price =$95

95 • 1.06 = $100.70

Example 5Alex wants to buy a shirt that cost $56 originally and is 30% off and a pair of pants that cost $68 originally and is marked 25% off. The store is having a sale where customers can take an extra 20% off the entire purchase. If the sales tax is 6%, how much money does Alex need?

56 • .30 = 16.80 off, sale price = 39.2068 • .25 = 17 off, sale price = 5139.20 + 51 = 90.2090.20 • .20 = 18.04 off, so 72.16 before tax72.16 • 1.06 = 76.4896 or $76.49