A trader buys 12 fans for ₹24,000. He marks each fan at 25% above the cost price. If he sells all fans by giving 10% discount on the marked price, then his overall profit (in) is :

Question

Accepted Answer

To determine the overall profit when the trader sells the fans, let's go through the calculations step by step, ensuring that Option 2 is indeed the correct answer.

1. **Cost Price Calculation:**
   - The trader buys 12 fans for ₹24,000.
   - Therefore, the cost price (CP) per fan = ₹24,000 / 12 = ₹2,000.

2. **Marked Price Calculation:**
   - Each fan is marked at 25% above the cost price.
   - Marked Price (MP) per fan = CP + 25% of CP = ₹2,000 + 0.25 × ₹2,000 = ₹2,000 + ₹500 = ₹2,500.

3. **Selling Price Calculation:**
   - The trader gives a 10% discount on the marked price.
   - Discount = 10% of MP = 0.10 × ₹2,500 = ₹250.
   - Selling Price (SP) per fan = MP - Discount = ₹2,500 - ₹250 = ₹2,250.

4. **Total Selling Price for 12 Fans:**
   - Total SP for 12 fans = 12 × ₹2,250 = ₹27,000.

5. **Profit Calculation:**
   - Profit = Total SP - Total CP = ₹27,000 - ₹24,000 = ₹3,000.

Thus, the overall profit is ₹3,000, which corresponds to Option 2.

**Explanation for Other Options:**

- **Option 1 (₹2,700):** This option is incorrect because the calculations show that the profit is higher than ₹2,700. The correct profit calculation results in ₹3,000, not ₹2,700.

- **Option 3 (₹3,200):** This option is incorrect because it overestimates the profit. The calculations clearly show that the profit is ₹3,000, not ₹3,200.

- **Option 4 (₹3,500):** This option is incorrect because it significantly overestimates the profit. The actual profit, as calculated, is ₹3,000, not ₹3,500.

In conclusion, the detailed calculations confirm that the correct answer is indeed Option 2, with an overall profit of ₹3,000.