Percent Applications

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Answer Key & Explanations

Percent Applications · Grade 6 · Worksheet 2

1. Sophia buys a new sofa for $1400. The store offers a 20% discount, and then she must pay 9% sales tax on the discounted price. What is the final price? Answer: 1220.8 Solution: Calculate the discount amount. 20% of $1400 = 0.20 × 1400 = $280. Subtract the discount from the original price.
   Full step-by-step solution

   Step 1: Calculate the discount amount. 20% of $1400 = 0.20 × 1400 = $280. Step 2: Subtract the discount from the original price. $1400 - $280 = $1120. This is the discounted price. Step 3: Calculate the sales tax on the discounted price. 9% of $1120 = 0.09 × 1120 = $100.80. Step 4: Add the tax to the discounted price to find the final price. $1120 + $100.80 = $1220.80. The final price is $1220.80.

2. Ava buys a new sofa for $2400. The store offers a 25% discount, and then she must pay a 9% sales tax on the discounted price. What is the final price Ava pays? Answer: 1962 Solution: Calculate the discount amount. 25% of $2400 = 0.25 × 2400 = $600. Subtract the discount from the original price.
   Full step-by-step solution

   Step 1: Calculate the discount amount. 25% of $2400 = 0.25 × 2400 = $600. Step 2: Subtract the discount from the original price. $2400 - $600 = $1800. This is the discounted price. Step 3: Calculate the sales tax on the discounted price. 9% of $1800 = 0.09 × 1800 = $162. Step 4: Add the tax to the discounted price to find the final price. $1800 + $162 = $1962. The final price Ava pays is $1962.

3. Emma is shopping for a new bicycle that originally costs $240. The store is having a 30% off sale this weekend. When Emma goes to buy the bicycle, she discovers she also needs to pay 7% sales tax on the final discounted price. How much money will Emma need to pay for the bicycle after the discount and tax? Answer: 179.76 Solution: 30% of $240 = 0.30 × 240 = $72 Original price - discount = $240 - $72 = $168 7% of $168 = 0.07 × 168 = $11.76 Sale price + tax = $168 + $11.76 = $179.76 The answer is $179.76.
   Full step-by-step solution

   Step 1: Calculate the discount amount 30% of $240 = 0.30 × 240 = $72 Step 2: Calculate the sale price Original price - discount = $240 - $72 = $168 Step 3: Calculate the tax amount 7% of $168 = 0.07 × 168 = $11.76 Step 4: Calculate the final price Sale price + tax = $168 + $11.76 = $179.76 The answer is $179.76.

4. Noah is shopping for a new laptop that originally costs $1,250. The store is having a 25% off sale. When Noah checks out, he also has to pay 8% sales tax on the final discounted price. How much money will Noah need to pay for the laptop after the discount and tax? Answer: $1012.50 Solution: Calculate the discount amount. 25% of $1,250 = 0.25 × 1,250 = $312.50 Calculate the discounted price. $1,250 - $312.50 = $937.50 Calculate the tax amount.
   Full step-by-step solution

   Step 1: Calculate the discount amount. 25% of $1,250 = 0.25 × 1,250 = $312.50 Step 2: Calculate the discounted price. $1,250 - $312.50 = $937.50 Step 3: Calculate the tax amount. 8% of $937.50 = 0.08 × 937.50 = $75 Step 4: Calculate the final price. $937.50 + $75 = $1,012.50 The answer is $1012.50.

5. 25% of 1200 = ? Answer: 300 Solution: We are asked to find 25% of 1200. "Percent" means "per hundred," so 25% means 25 per 100. Convert 25% to a decimal.
   Full step-by-step solution

   Step 1: Understand the problem. We are asked to find 25% of 1200. "Percent" means "per hundred," so 25% means 25 per 100. Step 2: Convert 25% to a decimal. To convert a percentage to a decimal, divide by 100. 25% = 25 / 100 = 0.25 Step 3: Multiply the decimal by the number. We now calculate 0.25 times 1200. 0.25 × 1200 = ? Step 4: Break the multiplication into parts. 0.25 is the same as 1/4. So, 25% of 1200 = (1/4) × 1200. Step 5: Perform the multiplication. (1/4) × 1200 = 1200 / 4 1200 ÷ 4 = 300 Step 6: State the final answer. 25% of 1200 = 300

6. Jordan and Jordan's family went out for dinner. The total bill for the meal was $75. They want to leave a 20% tip for the server. How much money should they leave as a tip? Answer: 15 Solution: Understand that a 20% tip means they pay an extra 20% of the bill. Calculate 20% of $75: (20/100) × 75 = 75 × 20 ÷ 100 = $15. Jordan's family should leave a tip of $15.
   Full step-by-step solution

   Step 1: Understand that a 20% tip means they pay an extra 20% of the bill. Step 2: Calculate 20% of $75: (20/100) × 75 = 75 × 20 ÷ 100 = $15. Jordan's family should leave a tip of $15.

7. Emma is shopping for a winter coat that originally costs $120. The store is having a 30% off sale, and Emma has a coupon for an additional 10% off the discounted price. How much will Emma pay for the coat after both discounts are applied? Answer: $75.60 Solution: Calculate the first discount (30% off original price) Original price: $120 30% of $120 = 0.30 × 120 = $36 Sale price after first discount = $120 - $36 = $84 Calculate the second discount (10% off sale price) Sale price: $84 10% of $84 = 0.10 × 84 = $8.40 Final price after second discount = $84 -…
   Full step-by-step solution

   Step 1: Calculate the first discount (30% off original price) Original price: $120 30% of $120 = 0.30 × 120 = $36 Sale price after first discount = $120 - $36 = $84 Step 2: Calculate the second discount (10% off sale price) Sale price: $84 10% of $84 = 0.10 × 84 = $8.40 Final price after second discount = $84 - $8.40 = $75.60 Emma will pay $75.60 for the coat.

8. A laptop originally costs $1200. It's on sale for 25% off, and then you have a coupon for an additional 10% off the sale price. What is the final price? Answer: $810 Solution: Calculate the 25% discount on the original price 25% of $1200 = 0.25 × 1200 = $300 $1200 - $300 = $900 Calculate the additional 10% coupon discount on the sale price 10% of $900 = 0.10 × 900 = $90 $900 - $90 = $810 The final price is $810.
   Full step-by-step solution

   Step 1: Calculate the 25% discount on the original price 25% of $1200 = 0.25 × 1200 = $300 Step 2: Find the sale price after the first discount $1200 - $300 = $900 Step 3: Calculate the additional 10% coupon discount on the sale price 10% of $900 = 0.10 × 900 = $90 Step 4: Find the final price after both discounts $900 - $90 = $810 The final price is $810.

9. Emma buys a new sofa that costs $1400. The store offers a 20% discount, and then she must pay 9% sales tax on the discounted price. What is the final price Emma pays? Answer: 1220.8 Solution: Calculate the discount amount. 20% of $1400 = 0.20 × 1400 = $280. Subtract the discount from the original price.
   Full step-by-step solution

   Step 1: Calculate the discount amount. 20% of $1400 = 0.20 × 1400 = $280. Step 2: Subtract the discount from the original price. $1400 - $280 = $1120. This is the discounted price. Step 3: Calculate the sales tax on the discounted price. 9% of $1120 = 0.09 × 1120 = $100.80. Step 4: Add the tax to the discounted price. $1120 + $100.80 = $1220.80. The final price Emma pays is $1220.80.