Discount Percentage Calculation Explained

This guide breaks down how to calculate the effective discount percentage for a bookstore's special offer.

Analyzing the Bookstore Offer

The bookstore has a promotion: If you spend ₹1,200 or more, you receive a ₹200 discount.

A specific customer purchases items totaling ₹1,500.

The goal is to find the effective discount percentage this customer gets on their purchase.

Calculating the Discount

First, confirm eligibility for the discount:

• Customer's spending: ₹1,500
• Minimum spending for discount: ₹1,200
• Since ₹1,500 is greater than or equal to ₹1,200, the customer qualifies for the ₹200 discount.

Identify the key values needed for the calculation:

• Original Price (Total Value of Books): ₹1,500
• Discount Amount: ₹200

Determining the Effective Percentage

The effective discount percentage represents the discount amount relative to the original price. The formula used is: Effective Discount Percentage = $ \left( \frac{\text{Discount Amount}}{\text{Original Price}} \right) \times 100\% $

Substitute the specific values from the problem into the formula:

Effective Discount Percentage = $ \left( \frac{200}{1500} \right) \times 100\% $

Simplify the fraction:

Effective Discount Percentage = $ \left( \frac{2}{15} \right) \times 100\% $

Perform the multiplication:

Effective Discount Percentage = $ \frac{200}{15}\% $

Simplify the fraction further:

Effective Discount Percentage = $ \frac{40}{3}\% $

Finally, convert the improper fraction to a mixed number for clarity:

Effective Discount Percentage = $ 13\frac{1}{3}\% $

Conclusion

The effective discount percentage for this purchase is $ 13\frac{1}{3}\% $. This means the customer saved $13\frac{1}{3}\%$ of the original ₹1,500 price, which corresponds to the ₹200 discount.