Sushant Publich 3500 books for Rs 3,50,000 at CP, he gives 500 books free to some book shops, he also allowed a discount of 25% on the marked price and give 1 book free for every purchase of 29 books. Find the amount of profit if the mark price of each book is Rs 160.

Options

A. Rs 2000
B. Rs 3000
C. Rs 4000
D. Rs 1500

Answer

To solve the problem step by step, let's break it down:

### Step 1: Calculate the Cost Price (CP) of the books
The total cost price for 3500 books is given as Rs 3,50,000.

### Step 2: Determine the Marked Price (MP) of each book
The marked price of each book is given as Rs 160.

### Step 3: Calculate the Selling Price (SP) after discount
A discount of 25% is allowed on the marked price.
- Discount = 25% of Rs 160 = (25/100) * 160 = Rs 40.
- Selling Price (SP) after discount = Marked Price - Discount = 160 - 40 = Rs 120.

### Step 4: Calculate the total number of books sold
Sushant gives away 500 books for free, so the number of books sold is:
- Total books = 3500
- Books given for free = 500
- Books sold = 3500 - 500 = 3000.

### Step 5: Calculate the additional free books given
For every 29 books purchased, 1 book is given for free.
- For 3000 books sold, the number of free books given = 3000 / 29 = approximately 103 (we take the integer part since we can't give a fraction of a book).
- Therefore, total books sold including the free ones = 3000 + 103 = 3103 books.

### Step 6: Calculate the total Selling Price (SP) for the books sold
- Total Selling Price = Selling Price per book * Total books sold
- Total Selling Price = 120 * 2900 = Rs 3,48,000.

### Step 7: Calculate the Profit or Loss
- Profit/Loss = Total Selling Price - Total Cost Price
- Profit/Loss = 3,48,000 - 3,50,000 = -2,000.

### Conclusion
Since the result is negative, it indicates a loss of Rs 2,000.

### Final Answer
The amount of profit is Rs -2,000 (indicating a loss).

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