Understanding the Original Price Calculation from a 15% Discount

When you see a product priced at 225 rupees after a 15% discount, have you ever wondered what its original price was? If so, this guide will walk you through the process of calculating the original price before any discounts were applied.

The Formula for Discounted Prices

The relationship between the original price and the discounted price is based on the following formula:

Selling Price (SP) Original Price (OP) - (Discount Rate × Original Price (OP))

To find the original price, we can rearrange the formula as follows:

SP OP - (0.15 × OP)

This simplifies to:

SP OP × (1 - 0.15)

Or more simply:

SP OP × 0.85

Using the Formula to Find the Original Price

In the given scenario, the selling price (SP) is 225 rupees and the discount rate is 15% (0.15 in decimal form). We have:

225 OP × 0.85

To solve for the original price (OP), we divide both sides by 0.85:

OP 225 / 0.85 ≈ 264.71 rupees

Step-by-Step Calculation

Here is the step-by-step process to understand the calculation better:

Recognize that a 15% discount means the product is sold at 85% of its original price. Formulate the equation based on the given selling price:

P × 0.85 225

Solve for P (the original price) by dividing both sides by 0.85:

P 225 / 0.85 ≈ 264.71 rupees

Alternative Method Using Percentage Calculation

Another way to find the original price is by using the concept of direct proportionality. If 85% of the original price is 225 rupees, then 100% can be calculated as follows:

(100 / 85) × 225 ≈ 264.71 rupees

Conclusion

In conclusion, any product sold at 225 rupees with a 15% discount originally cost approximately 264.71 rupees. This method helps in understanding the relationship between the original price and the discounted price, making it a crucial calculation for both consumers and retailers.

Frequently Asked Questions

What is the formula for calculating the original price from a discounted price?
The formula is SP OP × (1 - Discount Rate), where SP is the selling price, OP is the original price, and the discount rate is in decimal form. How do I find the original price if the selling price is 225 rupees and the discount is 15%?
You can use the formula SP OP × 0.85 and solve for OP, which gives OP 225 / 0.85 ≈ 264.71 rupees. Can I use percentage calculation to find the original price?
Yes, you can use the proportion method where (100 / discount factor) × SP. For a 15% discount, you would use (100 / 85) × SP.