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A big container contains 300 liters of Milk. The owner of the container replaces 30 liters of milk with water. After, sometime out of greed…

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A big container contains 300 liters of Milk. The owner of the container replaces 30 liters of milk with water. After, sometime out of greed he again replaces 60 liters of milk with water. Meanwhile a thief came and stole 90 liters of milk and replaces it with water. Find what is the quantity of water in the final mixture.
  • A148.8 liters
  • B128.8 liters
  • C130.8 liters
  • D120.8 liters
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Some percentage of milk is replaced with water three times

⇒ Remaining milk after replacement of 30 liters of milk with water = 300 × (1 – 30/300 × 100)

⇒ Remaining milk = 300 × (1 – 10%)

⇒ Remaining milk = 270 liters

⇒ Remaining milk after replacement of 60 liter of milk with water = 270 × (1 – 20%)

⇒ Remaining milk = 270 × 80% = 216 liters

⇒ Remaining milk after replacement of 90 liter of milk with water

⇒ Remaining milk = 216 × (1 – 30%) = 216 × 70% = 151.2 liters

∴ Quantity of water in the final mixture = 300 – 151.2 = 148.8 liters