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A container having pure milk, 30% is replaced by water and the process is repeated three times. At the end of the third operation, what will be the intensity of milk?1. 34%2. 35%3. 38%4.34.3%5. 36% |
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Answer» Correct Answer - Option 4 : 34.3% Given: Percentage of water replaced after three process = 30% Formula used: Quantity of milk left = a{1 – (b/a)}n a = Initial quantity b = Replaced quantity n = Number of repetition Calculation: Let the initial quantity of milk be 100 l ⇒ Quantity of milk replaced with water = (30/100) × 100 = 30 l n = 3 Quantity of milk left = 100{1 – (30/100)}3 ⇒ Quantity of milk left = 100{(10 – 3)/10}3 ⇒ Quantity of milk left = 100 × (7/10) × (7/10) × (7/10) ⇒ Quantity of milk left = 34.3% ∴ The intensity of milk after third operation is 34.3% |
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