सूर्याच्या प्रकाशामध्ये दुध आणि पाणी यांच्या मिश्रणातून पाण्याच्या बाष्पीभवनाचे प्रमाण 2.5 लिटर/तास आहे. सकाळी 10:00 वाजता दुधाचे प्रमाण पाण्यापेक्षा 90 लिटर जास्त होते आणि त्याच दिवशी दुपारी 4:00 वाजता दुधाचे आणि पाण्याचे गुणोत्तर 8 : 1 झाले, तर त्याच दिवशी संध्याकाळी 8:00 वाजता मिश्रणातील दुधाचे प्रमाण हे एकूण मिश्रणाच्या किती टक्के असेल? (सूर्याचा प्रकाश संध्याकाळी 8:00 वाजेपर्यंत असल्याचे गृहीत धरा)

  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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समजा, सकाळी 10:00 वाजता दुधाचे आणि पाण्याचे प्रमाण अनुक्रमे ‘x + 90’ आणि ‘x’ आहे.

सकाळी 10:00 ते दुपारी 4:00 पर्यंत बाष्पीभवन झालेल्या पाण्याचे प्रमाण = 2.5 × 6 = 15 लिटर

प्रश्नानुसार:

x + 90 = 8x - 120

7x = 210

x = 30

संध्याकाळी 8:00 वाजता दुधाचे प्रमाण = (x + 90) = 120 लिटर

संध्याकाळी 8:00 वाजता पाण्याचे प्रमाण = x – 2.5 × 10 = 30 – 25 = 5 लिटर

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

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