एक मिश्रण में दूध और पानी क्रमशः 5 ∶ 3 के अनुपात में हैं। 7 लीटर पानी मिलाने पर दूध का पानी से अनुपात 1 ∶ 2 हो जाता है। मिश्रण में दूध की मात्रा ज्ञात कीजिए। 

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 08 Dec 2022 Shift 1)
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  1. 7 लीटर
  2. 10 लीटर
  3. 5 लीटर
  4. 3 लीटर

Answer (Detailed Solution Below)

Option 3 : 5 लीटर
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Detailed Solution

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दिया गया:

प्रारंभिक अनुपात = 5 : 3

7 लीटर पानी मिलाने के बाद अंतिम अनुपात = 1 : 2

गणना:

माना मिश्रण में दूध और पानी की मात्रा क्रमशः 5x और 3x है।

7 लीटर यदि पानी मिलाने पर, हमें प्राप्त है:

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

⇒10x = 3x + 7

⇒ x = 1

इसलिए, मिश्रण में दूध 5x = 5(1) लीटर है

अतः, अभीष्ट मान 5 लीटर है।

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