A fruit vendor sells two boxes of mango at the rate of Rs. 750 each. He earns 25% profit on one box and suffers a loss of 25% on another box. In this business what is his loss or profit percent ?

Question

Accepted Answer

To determine the fruit vendor's overall profit or loss percentage, we need to analyze the transactions for both boxes of mangoes.

1. **Box 1: 25% Profit**
   - Selling Price (SP) = Rs. 750
   - Let the Cost Price (CP) be x.
   - Profit = 25% of CP = 0.25x
   - Therefore, SP = CP + Profit = x + 0.25x = 1.25x
   - 1.25x = 750
   - Solving for x, we get x = 750 / 1.25 = Rs. 600

2. **Box 2: 25% Loss**
   - Selling Price (SP) = Rs. 750
   - Let the Cost Price (CP) be y.
   - Loss = 25% of CP = 0.25y
   - Therefore, SP = CP - Loss = y - 0.25y = 0.75y
   - 0.75y = 750
   - Solving for y, we get y = 750 / 0.75 = Rs. 1000

3. **Total Cost Price and Total Selling Price**
   - Total CP = x + y = 600 + 1000 = Rs. 1600
   - Total SP = 750 + 750 = Rs. 1500

4. **Overall Loss Calculation**
   - Loss = Total CP - Total SP = 1600 - 1500 = Rs. 100
   - Loss Percentage = (Loss / Total CP) * 100 = (100 / 1600) * 100 = 6.25%

Therefore, the vendor incurs a loss of 6.25%, which is why Option 4 is correct.

**Explanation for Incorrect Options:**

1. **Option 1: 5% profit**
   - This option is incorrect because the calculations show a loss, not a profit. The total selling price is less than the total cost price, indicating a loss.

2. **Option 2: Neither profit nor loss**
   - This option is incorrect because there is a clear difference between the total cost price and the total selling price, resulting in a loss.

3. **Option 3: 6.25% profit**
   - This option is incorrect because the calculations indicate a loss of 6.25%, not a profit. The total cost price exceeds the total selling price.

By following the calculations and logical reasoning, it is evident that the correct answer is Option 4, which indicates a 6.25% loss.