Question
In a mixture of 315 litres, the ratio of petrol to
diesel is 7:4. If ‘x’ litres of diesel is added to the mixture, such that the ratio of petrol to diesel in the resultant mixture becomes 5:4, then find the value of ‘x’.Solution
ATQ, Quantity of petrol in the mixture = 315 × 7/11 = 200 litres Quantity of diesel in the mixture = 315 × 4/11 = 115 litres According to the question, 200:(115 + x) = 5:4 4 × 200 = 5 × (115 + x) 800 = 575 + 5x 5x = 225 x = 45 litres
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