A 30-litre mixture of oil and kerosene contains oil and kerosene in the ratio 2:1. Some quantity of kerosene is added, changing the ratio to 1:2. What is the quantity of kerosene added?
30 L
In 30 litres with ratio 2:1, oil \(= 20\) L and kerosene \(= 10\) L. Since oil stays fixed and the new ratio is 1:2, new kerosene \(= 2 \times 20 = 40\) L. Kerosene added \(= 40 - 10 = 30\) L.
A container has 60 litres of a mixture of acid and water in the ratio 7:3. 20% of the mixture is taken out and replaced with water. This operation is repeated once more. What is the final percentage of acid in the mixture?
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If a + b + c = 0, then the value of (a² + b² + 2ab) is equal to: