Absolutely! Let’s solve each problem step by step, using the formula given at the top:
>
To find p% of K, we need to multiply: (p/100) × K
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Problem 1:
Residents of Lovely Village are getting 12½% discount in the local shop.
#### a. If something costs $35, what will be the discount amount when buying it?
We need to find 12½% of $35.
First, convert 12½% to a decimal or fraction:
- 12½% = 12.5% = 12.5 / 100 = 0.125
- Or as a fraction: 12½% = 25/2 % = (25/2)/100 = 25/200 = 1/8
So, discount amount = 0.125 × 35
=
$4.375
Since money is usually rounded to the nearest cent, we round to
$4.38
✔ Answer (a): $4.38
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#### b. Find the price after discount.
Original price = $35
Discount = $4.38
Price after discount = 35 - 4.38 =
$30.62
✔ Answer (b): $30.62
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#### c. What is the percentage paid after discount?
If you get a 12.5% discount, you pay 100% - 12.5% =
87.5% of the original price.
✔ Answer (c): 87.5%
*(You can verify: 87.5% of $35 = 0.875 × 35 = $30.625 ≈ $30.63 — slight rounding difference due to earlier rounding, but conceptually correct.)*
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Problem 2:
Residents who pay annual taxes before end of April get a 10% discount.
#### a. What will be the discount if the annual taxes are $1250?
Discount = 10% of $1250
= (10/100) × 1250 = 0.10 × 1250 =
$125
✔ Answer (a): $125
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#### b. How much do they need to pay after discount?
Amount after discount = Original - Discount = 1250 - 125 =
$1125
✔ Answer (b): $1125
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Problem 3:
When buying a set of dishes at the price of $125, you get a discount of 20%. What is the price after discount?
Discount = 20% of $125
= (20/100) × 125 = 0.20 × 125 =
$25
Price after discount = 125 - 25 =
$100
✔ Answer: $100
*(Alternatively: You pay 80% of original price → 0.80 × 125 = $100)*
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✔ Final Answers Summary:
Problem 1:
a. Discount amount =
$4.38
b. Price after discount =
$30.62
c. Percentage paid =
87.5%
Problem 2:
a. Discount =
$125
b. Amount to pay =
$1125
Problem 3:
Price after discount =
$100
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Let me know if you’d like to see these solved with fractions instead of decimals — great for understanding the math behind percentages!
Parent Tip: Review the logic above to help your child master the concept of discount word problems worksheet.
