Math Problem Statement

Math problems related to commission, sales tax, and simple interest calculations.

Solution

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Problem 9:

  • Janice's Commission
    Janice receives a 5% commission for selling a condominium unit worth ₱4,000,000.
    The commission is calculated as: Commission=0.05×4,000,000=200,000\text{Commission} = 0.05 \times 4,000,000 = ₱200,000 Janice will receive a commission of ₱200,000.

Problem 10:

  • Price of the Tuxedo Suit with Sales Tax
    The price of the tuxedo suit is ₱6,200, and a sales tax of 6% is imposed.
    The total price is: Total Price=6,200+(0.06×6,200)=6,200+372=6,572\text{Total Price} = 6,200 + (0.06 \times 6,200) = 6,200 + 372 = ₱6,572 The total purchase price is ₱6,572.

Problem 11:

  • Tax Rate for the Computer Set
    The price of the computer set is ₱32,000, and the sales tax amounts to ₱2,720.
    The tax rate rr can be found by: r=Tax AmountPrice=2,72032,000=0.085=8.5%r = \frac{\text{Tax Amount}}{\text{Price}} = \frac{2,720}{32,000} = 0.085 = 8.5\% The tax rate is 8.5%.

Would you like to proceed with the remaining problems? Let me know if you need further clarifications!

Here are some related questions:

  1. How would you calculate the total cost of multiple items if different tax rates are applied?
  2. What is the formula for calculating a commission at various percentage rates?
  3. If the sales tax increased from 6% to 10%, what would be the new price of the tuxedo?
  4. Can you determine the tax amount if only the total cost and tax rate are known?
  5. How would the calculation change if Janice's commission rate was not fixed but varied based on the sale price?

Tip: Always break down percentages into decimal form when performing calculations.

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Math Problem Analysis

Mathematical Concepts

Percentages
Simple Interest
Sales Tax
Commission

Formulas

Commission = Percentage Rate * Sale Amount
Total Price with Tax = Sale Price + (Tax Rate * Sale Price)
Simple Interest = Principal * Rate * Time

Theorems

Basic percentage and interest calculations

Suitable Grade Level

Grades 6-8