The profit percent of a book seller if he sells book at marked price after enjoying a commission of 25% on marked price will be:

Options

A. 0.3
B. 0.25
C. 0.2
D. 33 `1/3` %

Answer

To solve the problem, we need to determine the profit percentage of a book seller who sells a book at its marked price after receiving a commission of 25% on that marked price.

### Step-by-Step Solution:

1. **Assume the Marked Price (MP):**
Let's assume the marked price of the book is \( MP = 100 \).

**Hint:** Start by defining the marked price as a convenient number to simplify calculations.

2. **Calculate the Commission:**
The commission received by the seller is 25% of the marked price.
\[ \text{Commission} = 25\% \text{ of } MP = 25\% \text{ of } 100 = 25. \]

**Hint:** Remember that commission is a percentage of the marked price.

3. **Determine the Cost Price (CP):**
The cost price can be calculated by subtracting the commission from the marked price.
\[ CP = MP - \text{Commission} = 100 - 25 = 75. \]

**Hint:** The cost price is what the seller effectively pays after accounting for the commission.

4. **Identify the Selling Price (SP):**
Since the book is sold at the marked price, the selling price is:
\[ SP = MP = 100. \]

**Hint:** The selling price is the price at which the book is sold, which in this case is the marked price.

5. **Calculate the Profit:**
Profit can be calculated using the formula:
\[ \text{Profit} = SP - CP = 100 - 75 = 25. \]

**Hint:** Profit is the difference between the selling price and the cost price.

6. **Calculate the Profit Percentage:**
The profit percentage can be calculated using the formula:
\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{CP} \right) \times 100 = \left( \frac{25}{75} \right) \times 100 = \frac{2500}{75} \approx 33.33\%. \]

**Hint:** Profit percentage is calculated based on the cost price, so remember to divide the profit by the cost price before multiplying by 100.

### Final Answer:
The profit percentage of the book seller is approximately **33.33%**.