Understanding the Bookstore Discount Offer

The bookstore has a special offer: if a customer spends ₹1,200 or more on books, they receive a direct discount of ₹200.

In this case, a customer buys books totaling ₹1,500. Since ₹1,500 is greater than or equal to ₹1,200, the customer is eligible for the ₹200 discount.

Calculating the Discount Amount and Final Price

• Original purchase value: ₹1,500
• Discount received: ₹200
• Final price paid by the customer: ₹1,500 - ₹200 = ₹1,300

Effective Discount Percentage Calculation

The question asks for the effective discount percentage. This means we need to find out what percentage the discount amount (₹200) is of the original price (₹1,500).

The formula for discount percentage is:

$ \text{Discount Percentage} = \left( \frac{\text{Discount Amount}}{\text{Original Price}} \right) \times 100\% $

Step-by-Step Calculation:

1. Identify the Discount Amount: The discount is ₹200.
2. Identify the Original Price: The original price of the books is ₹1,500.
3. Apply the Formula: Substitute these values into the formula:

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

4. Simplify the Fraction: Divide both the numerator and the denominator by their greatest common divisor (which is 100):

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

5. Calculate the Percentage: Multiply the fraction by 100:

   $ \text{Discount Percentage} = \frac{2 \times 100}{15}\% = \frac{200}{15}\% $

6. Convert to Mixed Fraction: Simplify the fraction $\frac{200}{15}$ by dividing both numbers by 5:

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

   To express this as a mixed fraction, divide 40 by 3:

   $ 40 \div 3 = 13 \text{ with a remainder of } 1 $

   So, the mixed fraction is $13\frac{1}{3}\%$.

Conclusion

The effective discount percentage for the customer buying books worth ₹1,500 under this scheme is $13\frac{1}{3}\%$.