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Question

A mixture consisting of 360 liters contains petrol and diesel in a ratio of 5:4, respectively. After removing 7.5% of the mixture and replacing it with an equal quantity of diesel, determine the final ratio of the quantity of petrol to that of diesel in the mixture.

A 35:37 Correct Answer Incorrect Answer
B 25:27 Correct Answer Incorrect Answer
C 37:35 Correct Answer Incorrect Answer
D 18:19 Correct Answer Incorrect Answer
E none of these Correct Answer Incorrect Answer

Solution

ATQ, Quantity of petrol in 360 litres of mixture = (5/9) × 360 = 200 litres So, quantity of diesel in 360 litres of mixture = 360 – 200 = 160 litres Quantity of mixture taken out = 0.075 × 360 = 27 litres Quantity of petrol in 27 litres of mixture = (5/9) × 27 = 15 litres So, quantity of diesel in 27 litres of mixture = 27 – 15 = 12 litres Therefore, required ratio = (200 – 15):(160 – 12 + 27) = 185:175 = 37:35

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