दो प्रकार के चावल हैं। प्रकार 1 चावल की कीमत ₹20 प्रति किलो है और प्रकार 2 चावल की कीमत ₹25 प्रति किलो है। दोनों चावल को 2 : 3 के अनुपात में मिलाया जाता है। मिश्रित चावल की प्रति किलो कीमत (₹ में) ज्ञात कीजिए।

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SSC Selection Post 2024 (Matriculation Level) Official Paper (Held On: 24 Jun, 2024 Shift 4)
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  1. 23
  2. 23.50
  3. 22
  4. 22.50

Answer (Detailed Solution Below)

Option 1 : 23
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दिया गया है:

प्रकार 1 चावल की कीमत = ₹20 प्रति किलो

प्रकार 2 चावल की कीमत = ₹25 प्रति किलो

प्रकार 1 चावल का टाइप 2 चावल से अनुपात = 2:3

प्रयुक्त सूत्र:

मिश्रित चावल की प्रति किलो कीमत = \(\frac{(Cost\ of\ Type\ 1\ rice \times Quantity\ of\ Type\ 1) + (Cost\ of\ Type\ 2\ rice \times Quantity\ of\ Type\ 2)}{Total\ Quantity}\)

गणना:

मान लीजिए प्रकार 1 चावल की मात्रा 2x किलो है और प्रकार 2 चावल की मात्रा 3x किलो है।

कुल मात्रा = 2x + 3x = 5x

मिश्रित चावल की प्रति किलो कीमत

\(\frac{(20 \times 2x) + (25 \times 3x)}{5x}\)

\(\frac{40x + 75x}{5x}\)

\(\frac{115x}{5x}\)

⇒ 23

∴ सही उत्तर विकल्प (1) है।

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