A tea seller bought 15 kg of Darjeeling tea at ₹300 per kg and 25 kg of Assam tea at ₹240 per kg. He mixed them together. Due to…

Question

A tea seller bought 15 kg of Darjeeling tea at ₹300 per kg and 25 kg of Assam tea at ₹240 per kg. He mixed them together. Due to a slight drop in market prices, he had to sell the entire mixture at ₹260 per kg. Calculate his total profit or loss.

1. A. Loss of ₹100 (Correct answer)
2. B. Profit of ₹100
3. C. Profit of ₹200
4. D. Profit of ₹300

Correct Answer

Option A — Loss of ₹100

Detailed Solution & Explanation

The correct answer is Loss of ₹100.

Key Points

• Compute the total cost of the two purchases:
  • Darjeeling: 15 × 300 = ₹4,500
  • Assam: 25 × 240 = ₹6,000
  • Total cost = ₹10,500 for 40 kg
• Total revenue = 40 × 260 = ₹10,400.
• Since revenue is less than cost, the result is a loss of ₹100.

Additional Information

• The mixture's cost price per kg is 10,500 ÷ 40 = ₹262.50, against a selling price of ₹260 — so a loss was inevitable, and noticing this settles the direction before any totals are computed.
• The loss percentage is (100 ÷ 10,500) × 100 ≈ 0.95%, useful if a later part of the question asks for it.
• Always compute the weighted cost per unit rather than averaging the two purchase prices; a plain average of 300 and 240 gives 270 and misrepresents a mixture with unequal quantities.

प्रश्न (हिन्दी में)

एक चाय विक्रेता ने 15 किलो दार्जिलिंग चाय ₹300 प्रति किलो और 25 किलो असम चाय ₹240 प्रति किलो की दर से खरीदी। उसने उन्हें एक साथ मिला दिया। बाजार मूल्य में मामूली गिरावट के कारण, उसे पूरा मिश्रण ₹260 प्रति किलो पर बेचना पड़ा। उसका कुल लाभ या हानि की गणना करें।

1. A. ₹100 की हानि
2. B. ₹100 का लाभ
3. C. ₹200 का लाभ
4. D. ₹300 का लाभ