If after giving a discount of 18%, a book is sold for Rs. 1599, what will be the marked price ( in Rs. ) of the book ?

Options

A. 1800
B. 1880
C. 1950
D. 2000

Answer

To find the marked price of the book after an 18% discount leads to a selling price of Rs. 1599, we can follow these steps:

### Step 1: Understand the relationship between marked price, discount, and selling price
The selling price (SP) after a discount is given by the formula:
\[ SP = \text{Marked Price} - \text{Discount} \]
Alternatively, we can express the selling price in terms of the marked price (MP) and the discount percentage:
\[ SP = MP \times \left(1 - \frac{\text{Discount Percentage}}{100}\right) \]

### Step 2: Set up the equation
Given that the discount is 18%, we can express the selling price as:
\[ 1599 = MP \times \left(1 - \frac{18}{100}\right) \]
This simplifies to:
\[ 1599 = MP \times 0.82 \]

### Step 3: Solve for the marked price
To find the marked price (MP), we rearrange the equation:
\[ MP = \frac{1599}{0.82} \]

### Step 4: Calculate the marked price
Now we perform the calculation:
\[ MP = \frac{1599}{0.82} \approx 1950 \]

### Step 5: Conclusion
Thus, the marked price of the book is Rs. 1950.