Math Problem Statement

One manufacturer needs to calculate the net price of an order with a list price of 900$ and a trade discount series of 11/8/6. Use the net decimal equivalent to find the net price

Solution

To calculate the net price using the trade discount series of 11/8/6 on the list price of $900, we need to apply each discount sequentially, converting them to their decimal equivalents.

Step 1: Convert the trade discounts to decimal form.

  • 11% discount: The decimal equivalent is 111100=0.891 - \frac{11}{100} = 0.89
  • 8% discount: The decimal equivalent is 18100=0.921 - \frac{8}{100} = 0.92
  • 6% discount: The decimal equivalent is 16100=0.941 - \frac{6}{100} = 0.94

Step 2: Apply each discount to the list price.

  1. First Discount (11%): 900×0.89=801900 \times 0.89 = 801 After the first discount, the price becomes $801.

  2. Second Discount (8%): 801×0.92=737.92801 \times 0.92 = 737.92 After the second discount, the price becomes $737.92.

  3. Third Discount (6%): 737.92×0.94=693.13737.92 \times 0.94 = 693.13 After the third discount, the final price (net price) is $693.13.

Final Net Price:

The net price after applying the trade discount series is $693.13.

Would you like any further details on how to apply trade discounts, or do you have any other questions?


Here are 5 related questions:

  1. How do you calculate the gross price after a series of trade discounts?
  2. What happens if the discount series includes a higher discount on the second or third stage?
  3. How do you handle trade discounts for large or bulk orders?
  4. What is the difference between trade and cash discounts?
  5. How would you calculate the net price if the list price was different (e.g., $1200)?

Tip: Always apply the discounts in sequence, one after the other, rather than summing them up before applying to avoid incorrect calculations.

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Math Problem Analysis

Mathematical Concepts

Trade Discounts
Net Price Calculation
Decimal Equivalents

Formulas

Net Decimal Equivalent = (1 - Discount1) × (1 - Discount2) × (1 - Discount3)
Net Price = List Price × Net Decimal Equivalent

Theorems

Successive Percentage Reduction Theorem

Suitable Grade Level

Grades 9-12