A book seller allowed 10% discournt on printed price. He gets 30% commission from publisher. His profit in percent will be

Options

A. 0.2
B. 28`4/7`
C. 0.25
D. 26`3/7`

Answer

To find the profit percentage of the bookseller, we can break down the problem step by step.

### Step 1: Understand the Printed Price
Let’s assume the printed price of the book is \( P = 100 \) rupees.

### Step 2: Calculate the Selling Price after Discount
The bookseller allows a 10% discount on the printed price. Therefore, the selling price (SP) after the discount is calculated as follows:
\[ \text{Discount} = 10\% \text{ of } P = 10\% \text{ of } 100 = 10 \text{ rupees} \]
\[ \text{Selling Price (SP)} = P - \text{Discount} = 100 - 10 = 90 \text{ rupees} \]

### Step 3: Calculate the Cost Price for the Bookseller
The bookseller receives a 30% commission from the publisher. This means the cost price (CP) for the bookseller can be calculated as:
\[ \text{Commission} = 30\% \text{ of } P = 30\% \text{ of } 100 = 30 \text{ rupees} \]
Since the publisher gives the bookseller 70% of the printed price (because the bookseller keeps 30% as commission), the cost price for the bookseller is:
\[ \text{Cost Price (CP)} = P - \text{Commission} = 100 - 30 = 70 \text{ rupees} \]

### Step 4: Calculate the Profit
Now, we can calculate the profit made by the bookseller:
\[ \text{Profit} = \text{Selling Price} - \text{Cost Price} = 90 - 70 = 20 \text{ rupees} \]

### Step 5: Calculate the Profit Percentage
Finally, we can calculate the profit percentage using the formula:
\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100 = \left( \frac{20}{70} \right) \times 100 \]
\[ \text{Profit Percentage} = \frac{2000}{70} \approx 28.57\% \]

### Conclusion
The profit percentage of the bookseller is approximately \( 28.57\% \).

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