मिश्रणात दूध आणि पाणी अनुक्रमे 5 ∶ 3 या प्रमाणात असते. 7 लिटर पाणी घातल्यावर, दुधाचे पाण्याशी गुणोत्तर 1 ∶ 2 होते. मिश्रणातील दुधाचे प्रमाण शोधा.

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SSC CGL 2022 Tier-I Official Paper (Held On : 08 Dec 2022 Shift 1)
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  1. 7 लिटर
  2. 10 लिटर
  3. 5 लिटर
  4. 3 लिटर

Answer (Detailed Solution Below)

Option 3 : 5 लिटर
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Detailed Solution

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दिलेले आहे:

आरंभिक गुणोत्तर = ५ : ३

7 लिटर पाणी घातल्यानंतर अंतिम गुणोत्तर = 1 : 2

गणना:

मिश्रणातील दूध आणि पाण्याचे प्रमाण अनुक्रमे 5x आणि 3x असू द्या.

7 लिटर पाणी टाकल्यावर आपल्याला मिळते:

5x /(3x + 7) = 1/2

⇒10x = 3x + 7

⇒x = 1

तर, मिश्रणातील दूध 5x = 5(1) लिटर आहे

म्हणून, आवश्यक मूल्य 5 लिटर आहे.

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