A man bought 25 crates of oranges for Rs.10,000. He lost 5 crates. In order to earn a total profit of 25% of the total cost, he would have to sell each of the remaining crates at

Options

A. Rs 650
B. Rs 625
C. Rs600
D. Rs 575

Answer

To solve the problem, we need to follow these steps:

### Step 1: Calculate the total cost of the crates.
The man bought 25 crates of oranges for Rs. 10,000.

**Total Cost = Rs. 10,000**

### Step 2: Calculate the total profit desired.
The man wants to earn a total profit of 25% on the total cost.

**Total Profit = 25% of Total Cost = 25/100 * 10,000 = Rs. 2,500**

### Step 3: Calculate the total selling price required to achieve the desired profit.
To find the total selling price, we add the total cost and the total profit.

**Total Selling Price = Total Cost + Total Profit = 10,000 + 2,500 = Rs. 12,500**

### Step 4: Determine the number of crates remaining after the loss.
The man lost 5 crates out of the 25 he initially bought.

**Remaining Crates = 25 - 5 = 20 crates**

### Step 5: Calculate the selling price per crate.
To find the selling price per crate, we divide the total selling price by the number of remaining crates.

**Selling Price per Crate = Total Selling Price / Remaining Crates = 12,500 / 20 = Rs. 625**

### Conclusion:
In order to earn a total profit of 25% of the total cost, he would have to sell each of the remaining crates at **Rs. 625**.

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