Book Purchase Calculation

The problem describes a situation where Lekhana buys a book with a discount. We are given the amount saved due to the discount and the percentage of the discount. We need to find out how much Lekhana actually paid for the book.

Discount Details

• The amount Lekhana saved on the book is Rs. 15.
• This saving represents a discount of 20%.

The saving amount is the value of the discount given on the original price (also known as the Marked Price or MRP) of the book. This means that 20% of the Marked Price is equal to Rs. 15.

Calculating the Marked Price

Let's denote the Marked Price of the book as MP.

We know that 20% of MP is Rs. 15.

This can be written as:

\( 20\% \text{ of MP} = 15 \)

\( \frac{20}{100} \times \text{MP} = 15 \)

\( \frac{1}{5} \times \text{MP} = 15 \)

To find the MP, we multiply both sides by 5:

\( \text{MP} = 15 \times 5 \)

\( \text{MP} = 75 \)

So, the original Marked Price of the book was Rs. 75.

Calculating the Price Paid

The price Lekhana paid for the book is the Marked Price minus the discount amount she received.

Price Paid = Marked Price - Discount Amount

Price Paid = Rs. 75 - Rs. 15

Price Paid = Rs. 60

Therefore, Lekhana paid Rs. 60 for the book.

Summary of Calculation

The final amount Lekhana paid after the 20% discount, which amounted to a saving of Rs. 15, is Rs. 60.