Multiple choice

In a 160-litres mixture of milk and water, the percentage of water is only 35%. The milkman gave 40 litres of this mixture to a customer and then added 'X' litres of pure milk to the remaining mixture. As a result the percentage of water in the final mixture becomes 30%. What is the value of 'X'? दूध और पानी के 160-लीटर मिश्रण में, पानी का प्रतिशत केवल 35% है। दूधवाले ने इस मिश्रण का 40 लीटर एक ग्राहक को दिया और फिर शेष मिश्रण में 'X' लीटर शुद्ध दूध मिलाया। परिणामस्वरूप अंतिम मिश्रण में पानी का प्रतिशत 30% हो जाता है। 'X' का मूल्य क्या है'?

  1. 20

  2. 25

  3. 30

  4. 15

  5. 10
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A Correct answer
Explanation

Initial mixture: 160 L with 35% water = 56 L water, 104 L milk. After removing 40 L (which contains 0.35 × 40 = 14 L water), remaining water = 56 - 14 = 42 L, remaining milk = 104 - 26 = 78 L. Total remaining = 120 L. Adding X litres of pure milk, total volume = 120 + X, water stays at 42 L. For 30% water: 42/(120 + X) = 0.30, so 42 = 36 + 0.30X, which gives 0.30X = 6, therefore X = 20.

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