Math Problem Statement

If Tom buys a toy truck for $10.75 and the regular price was $16.50, what was the discount before tax? (round it to the nearest whole number %)

Solution

To find the discount percentage, we first calculate the discount amount and then find the percentage of the regular price that the discount represents.

Step 1: Calculate the discount amount

Discount Amount=Regular PriceSale Price\text{Discount Amount} = \text{Regular Price} - \text{Sale Price} Discount Amount=16.5010.75=5.75\text{Discount Amount} = 16.50 - 10.75 = 5.75

Step 2: Calculate the discount percentage

Discount Percentage=(Discount AmountRegular Price)×100\text{Discount Percentage} = \left( \frac{\text{Discount Amount}}{\text{Regular Price}} \right) \times 100 Discount Percentage=(5.7516.50)×10034.85%\text{Discount Percentage} = \left( \frac{5.75}{16.50} \right) \times 100 \approx 34.85\%

Step 3: Round to the nearest whole number

Discount Percentage35%\text{Discount Percentage} \approx 35\%

Final Answer:

The discount before tax was 35%.


Do you want me to explain this further or assist with a related problem?
Here are some related questions:

  1. If the tax rate is 7%, how much will Tom pay in total?
  2. What was the sale price as a percentage of the regular price?
  3. How much would Tom save if he bought 3 toy trucks?
  4. If another store offered a 40% discount on the same toy truck, how much would it cost there?
  5. What is the formula to calculate discounts in general?

Tip: When working with percentages, always double-check rounding to ensure accuracy.

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Math Problem Analysis

Mathematical Concepts

Percentages
Discount Calculations
Basic Arithmetic

Formulas

Discount Amount = Regular Price - Sale Price
Discount Percentage = (Discount Amount / Regular Price) × 100

Theorems

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Suitable Grade Level

Grades 5-7