A trader sells one brand of tea at ₹150 per kg, incurring a 25% loss. He also sells another brand of tea at ₹200 per kg, incurrin…

Question

A trader sells one brand of tea at ₹150 per kg, incurring a 25% loss. He also sells another brand of tea at ₹200 per kg, incurring a 20% loss. If he mixes the two brands in equal proportions and sells the mixture at ₹175 per kg, what is his overall profit or loss percentage?

1. A. Loss of 22.22% (Correct answer)
2. B. Profit of 22.22%
3. C. Loss of 25%
4. D. Profit of 25%

Correct Answer

Option A — Loss of 22.22%

Detailed Solution & Explanation

The correct answer is Loss of 22.22%.

Key Points

• Recover each brand's cost price from its stated loss:
  • Brand 1: SP 150 at 25% loss → CP = 150 ÷ 0.75 = ₹200/kg
  • Brand 2: SP 200 at 20% loss → CP = 200 ÷ 0.80 = ₹250/kg
• Mixing equal proportions, take 1 kg of each: total cost = 200 + 250 = ₹450 for 2 kg.
• Selling 2 kg at ₹175/kg yields ₹350.
• Loss = 450 − 350 = ₹100, so loss % = (100/450) × 100 = 22.22%.

Additional Information

• The mixture's cost price per kg is ₹225 and it sells at ₹175, so a loss was inevitable — a quick check that eliminates both "profit" options immediately.
• Note that both brands are already being sold at a loss individually, so no combination of them at ₹175 could produce a profit.
• 2/9 as a percentage is 22.22%, a recurring value worth recognising alongside 1/9 = 11.11%, 1/3 = 33.33% and 1/6 = 16.67%.

प्रश्न (हिन्दी में)

एक व्यापारी चाय का एक ब्रांड ₹150 प्रति किलोग्राम पर बेचता है, जिससे उसे 25% का नुकसान होता है। वह चाय का एक और ब्रांड ₹200 प्रति किलोग्राम पर बेचता है, जिससे उसे 20% का नुकसान होता है। यदि वह दोनों ब्रांडों को बराबर अनुपात में मिलाता है और मिश्रण को ₹175 प्रति किलोग्राम पर बेचता है, तो उसका कुल लाभ या हानि प्रतिशत क्या है?

1. A. 22.22% की हानि
2. B. 22.22% का लाभ
3. C. 25% की हानि
4. D. 25% का लाभ