Math Problem Statement

List price of an article at a showroom is ` 2,000. It is sold at successive discounts of 20% and 10%. Its net SP will b

Solution

To calculate the net selling price (SP) of the article after applying successive discounts, follow these steps:

  1. List Price = ₹2000
  2. First Discount = 20%
    Discounted price after the first discount:
    Price after 1st discount=List Price×(10.20)=2000×0.80=1600\text{Price after 1st discount} = \text{List Price} \times (1 - 0.20) = 2000 \times 0.80 = ₹1600
  3. Second Discount = 10%
    Discounted price after the second discount:
    Net SP=Price after 1st discount×(10.10)=1600×0.90=1440\text{Net SP} = \text{Price after 1st discount} \times (1 - 0.10) = 1600 \times 0.90 = ₹1440

Net Selling Price = ₹1440

Would you like a detailed explanation of the formula or steps? Let me know! 😊


Relative Questions:

  1. How do successive discounts differ from a single discount of the same total percentage?
  2. Can you explain how percentages are compounded in successive discounts?
  3. What would the SP be if the list price was ₹5000 with the same discounts?
  4. How can you calculate the total effective discount percentage from successive discounts?
  5. What happens if we reverse the order of the discounts (e.g., 10% first and then 20%)?

Tip:

Successive discounts are not additive; they are multiplicative. Always apply them step by step to the reduced price.

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Math Problem Analysis

Mathematical Concepts

Percentage Calculations
Successive Discounts

Formulas

Discounted Price = Original Price × (1 - Discount Rate)
Net SP = Price after 1st discount × (1 - 2nd Discount Rate)

Theorems

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Suitable Grade Level

Grades 6-8