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In 80 litres pure milk, 8 litres of milk is replaced by water if this process is repeated two times then what will be the ratio of milk and water in the final mixture?1. 81 ∶ 192. 19 ∶ 813. 63 ∶ 174. 17 ∶ 63 |
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Answer» Correct Answer - Option 1 : 81 ∶ 19 Given: Quantity of pure milk = 80 litres Quantity of milk removed and replaced by water = 8 litres Formula used: Amount of milk left = Initial amount × [1 – (Amount took out and replaced)/Initial amount]n Here n is the number of times the process repeated Calculation: Amount of milk left = 80 × [1 – 8/80]2 ⇒ 80 × (1 - 1/10)2 ⇒ 80 × (9/10)2 ⇒ 80 × (81/100) = 64.8 litres Amount of water in the final mixture = 80 – 64.8 = 15.2 litres The ratio of milk and water in the final mixture = 64.8 ∶ 15.2 = 81 ∶ 19 ∴ The ratio of milk and water in the final mixture is 81 ∶ 19 |
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