Sure! Let’s solve each discount problem step by step and show the workings clearly.
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Problem 1:
*A toy car is on sale for 40% off. If the original price was $40, what is the new sales price?*
✔ Solution:
- Discount amount = 40% of $40
= 0.40 × 40 =
$16
- New sales price = Original price – Discount
= $40 – $16 =
$24
✔ Answer: $24
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Problem 2:
*I want to buy a book that is on sale with a 50% discount. If the sales price is $25, what was the original price?*
✔ Solution:
- Sales price = 50% of original price → meaning you paid half the original price.
- So, if 50% of original price = $25, then:
Original price = $25 ÷ 0.50 =
$50
✔ Answer: $50
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Problem 3:
*After serious negotiating you got $25 discount on a pair of sneakers. If the original price of the sneakers was $125, what percentage discount did you get?*
✔ Solution:
- Percentage discount = (Discount amount ÷ Original price) × 100%
= ($25 ÷ $125) × 100%
= 0.2 × 100% =
20%
✔ Answer: 20%
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Problem 4:
*If you buy 2 pens you get a 50% discount on the second pen. If 1 pen costs $2.30, how much will 2 pens cost you?*
✔ Solution:
- First pen: full price =
$2.30
- Second pen: 50% off → 0.50 × $2.30 =
$1.15
- Total cost = $2.30 + $1.15 =
$3.45
✔ Answer: $3.45
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Problem 5:
*I got a $12 dollar discount on a $60 head set. What was the percentage discount I got?*
✔ Solution:
- Percentage discount = (Discount ÷ Original price) × 100%
= ($12 ÷ $60) × 100%
= 0.2 × 100% =
20%
✔ Answer: 20%
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Problem 6:
*I got a 12% discount on a pair of jeans and a 25% discount on a t-shirt. If the original price of the jeans was $100 and that of the t-shirt $50, how much did I pay for both items?*
✔ Solution:
-
Jeans:
- Discount = 12% of $100 = 0.12 × 100 =
$12
- Price after discount = $100 – $12 =
$88
-
T-shirt:
- Discount = 25% of $50 = 0.25 × 50 =
$12.50
- Price after discount = $50 – $12.50 =
$37.50
-
Total paid = $88 + $37.50 = $125.50
✔ Answer: $125.50
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✔ Final Answers Summary:
1.
$24
2.
$50
3.
20%
4.
$3.45
5.
20%
6.
$125.50
Let me know if you’d like these explained differently or need a worksheet version!
Parent Tip: Review the logic above to help your child master the concept of discount word problems worksheet.
