Bankersadda started its publication with the 1500 DI books. Printing cost per book is 125 Rs, packing cost per book is 15 Rs and shipping cost per book is 40 Rs. If `50%` of books sold on half of total cost price, then find on how much percent above should be remaining book sold to gets `20%` profit on total outlay?

Options

A. A)`50%`
B. B)`60%`
C. C)`80%`
D. D)`90%`

Answer

To solve the problem step by step, we will first calculate the total cost price, then determine the total selling price required for a 20% profit, and finally find out how much percent above the cost price the remaining books should be sold.

### Step 1: Calculate the Total Cost Price (CP)
The cost price per book is the sum of the printing cost, packing cost, and shipping cost.

- Printing cost per book = 125 Rs
- Packing cost per book = 15 Rs
- Shipping cost per book = 40 Rs

**Total cost price per book = 125 + 15 + 40 = 180 Rs**

Now, for 1500 books:

**Total Cost Price (CP) = 1500 books × 180 Rs/book = 270,000 Rs**

### Step 2: Calculate the Total Selling Price (SP) for 20% Profit
To achieve a 20% profit on the total outlay, we need to calculate the total selling price.

**Total Selling Price (SP) for 20% profit = CP + 20% of CP**

**20% of CP = 0.20 × 270,000 Rs = 54,000 Rs**

So,

**Total Selling Price (SP) = 270,000 Rs + 54,000 Rs = 324,000 Rs**

### Step 3: Determine the Selling Price of the First 50% of Books
50% of the books (750 books) are sold at half of the total cost price.

**Selling price for 750 books = 750 books × (180 Rs/book ÷ 2) = 750 books × 90 Rs/book = 67,500 Rs**

### Step 4: Calculate the Remaining Selling Price Needed
Now, we need to find out how much more needs to be earned from the remaining 750 books to reach the total selling price of 324,000 Rs.

**Remaining Selling Price Needed = Total SP - Selling Price from first 750 books**

**Remaining Selling Price Needed = 324,000 Rs - 67,500 Rs = 256,500 Rs**

### Step 5: Determine the Selling Price per Remaining Book
The remaining number of books is 750.

**Selling price per remaining book = Remaining Selling Price Needed ÷ Number of remaining books**

**Selling price per remaining book = 256,500 Rs ÷ 750 books = 342 Rs/book**

### Step 6: Calculate the Percentage Above Cost Price
Now, we need to find out how much percent above the cost price (180 Rs) the remaining books should be sold.

**Percentage above CP = [(Selling Price - CP) ÷ CP] × 100**

**Percentage above CP = [(342 Rs - 180 Rs) ÷ 180 Rs] × 100**

**Percentage above CP = [162 Rs ÷ 180 Rs] × 100 ≈ 90%**

### Final Answer
The remaining books should be sold at **90% above the cost price** to achieve a 20% profit on the total outlay.

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