दूध और पानी के मिश्रण से सूर्य के प्रकाश में पानी के वाष्पीकरण की दर 2.5 लीटर / घंटा है। सुबह 10:00 बजे दूध की मात्रा पानी की तुलना में 90 लीटर अधिक थी और उसी दिन शाम 4:00 बजे, दूध का पानी से अनुपात 8: 1 हो जाता है, तो उसी दिन 8:00 बजे मिश्रण की कुल मात्रा में दूध प्रतिशत कितना होगा ? (मान लीजिये सूर्य का प्रकाश रात्रि 8:00 बजे तक है)

  1. 96%
  2. 84%
  3. 88%
  4. 92%

Answer (Detailed Solution Below)

Option 1 : 96%
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Detailed Solution

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सुबह 10:00 बजे दूध और पानी की मात्रा  'x + 90' और 'x' है।

पानी की मात्रा सुबह 10:00 बजे से शाम 4:00 बजे तक = 2.5 × 6 = 15 लीटर

प्रश्न के अनुसार:

\(\frac{{x + 90}}{{x - 15}} = \frac{8}{1}\)

x + 90 = 8x – 120

7x = 210

x = 30

रात 8:00 बजे दूध की मात्रा = (x + 90) = 120 लीटर

रात 8:00 बजे पानी की मात्रा  = x – 2.5 × 10 = 30 – 25 = 5 लीटर

आवश्यक प्रतिशत = (120/125) × 100 = 96%

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