जॉन 20 किग्रा गेहूँ ₹30 प्रति किग्रा की दर से तथा 30 किग्रा गेहूँ ₹50 प्रति किग्रा की दर से खरीदता है। उसका औसत मूल्य ज्ञात कीजिए।

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SSC Selection Post 2024 (Higher Secondary Level) Official Paper (Held On: 25 Jun, 2024 Shift 2)
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  1. ₹40 प्रति किलो
  2. ₹20 प्रति किलो
  3. ₹42 प्रति किलो
  4. ₹21 प्रति किलो

Answer (Detailed Solution Below)

Option 3 : ₹42 प्रति किलो
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दिया गया है:

जॉन 20 किलो गेहूँ ₹30 प्रति किलो और 30 किलो गेहूँ ₹50 प्रति किलो खरीदता है।

प्रयुक्त सूत्र:

औसत मूल्य = \(\dfrac{\text{Total Cost}}{\text{Total Quantity}}\)

गणना:

कुल लागत = (20 × 30) + (30 × 50)

⇒ कुल लागत = 600 + 1500

⇒ कुल लागत = 2100

कुल मात्रा = 20 + 30

⇒ कुल मात्रा = 50

औसत मूल्य = \(\dfrac{2100}{50}\)

⇒ औसत मूल्य = 42

∴ सही उत्तर विकल्प (3) है।

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