Unveiling Discounted Prices: Calculating the Original Price of an Item

Understanding how to calculate the original price of an item from its discounted price is a crucial skill for both consumers and businesses. This article will guide you through the process, using real-life examples to illustrate the techniques involved. We'll also explore scenarios where discounts lead to specific savings and how these figures can be used to determine the original price.

Understanding the Mathematics Behind Marked Price and Discount Calculation

In the world of commerce, the marked price (M.P) of an item is the price listed by the seller, which is often higher than the selling price (S.P) after a discount is applied. One of the most common discount formulas is:

M.P S.P × 100 / (100 - Discount)

Example 1: Calculating the Marked Price

Problem Statement: A man buys a toy for Rs 70 after getting a discount of 20 percent. What was the marked price of the toy?

Calculation:

M.P 70 × 100 / (100 - 20)
M.P 70 × 100 / 80
M.P 7000 / 80
M.P 87.5

Answer: The marked price of the toy was Rs 87.5.

Example 2: Finding the Original Price with a Specific Savings

Problem Statement: A customer saves Rs. 30 when a discount of 20 percent is offered on the marked price. What is the price of the article?

Calculation:

20% of marked price (M.P) 30 Rs
1/5 of M.P 30 Rs
M.P 30 × 5 150 Rs
Sale Price (S.P) M.P - Discount 150 - 30 120 Rs

Answer: The original marked price (M.P) of the article was Rs 150, and the sale price (S.P) was Rs 120.

Example 3: Calculating Original Price from a Known Selling Price

Problem Statement: If a toy was sold with a 12 percent discount resulting in a selling price of Rs. 132, then its original price was Rs. 150.

Calculation:

Discounted Price (S.P) after 12% 88% of M.P
Rs. 132 / 0.88 Rs. 150

Answer: The original price of the toy was Rs 150.

Conclusion

Critical problem-solving skills in mathematics can be incredibly useful in everyday commerce and business. Understanding how to calculate the original price from the selling price and vice versa is essential for making informed decisions and ensuring accurate pricing strategies.

Keywords

Note: This article can be optimized for Google search engines by using the mentioned keywords in the content, headings, and metadata for better visibility and ranking.