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    Question

    Initially, 40% of mixture тАШPтАЩ, consisting of petrol

    and diesel, is transferred into mixture тАШQтАЩ, which has a petrol to diesel ratio of 5:4. After this transfer, the ratio of petrol to diesel in mixture тАШQтАЩ changes to 17:13. Following the transfer, the remaining quantities of petrol and diesel in mixture тАШPтАЩ are 54 liters and 36 liters, respectively. Calculate the initial quantity of mixture тАШQтАЩ.
    A 145 Correct Answer Incorrect Answer
    B 150 Correct Answer Incorrect Answer
    C 180 Correct Answer Incorrect Answer
    D 145 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Ratio of petrol and diesel in the mixture тАШPтАЩ = 54:36 = 3:2 60% of mixture тАШPтАЩ = 54 + 36 = 90 litres Therefore, 40% of the mixture = (90/60) ├Ч 40 = 60 litres Quantity of petrol in 40% of mixture тАШPтАЩ = 60 ├Ч 3/5 = 36 litres Quantity of diesel in 40% of mixture тАШPтАЩ = 60 тАУ 36 = 24 litres Let the quantity of petrol and diesel in the mixture тАШQтАЩ be 5q litres and 4q litres respectively. According to the question, (5q + 36)/(4q + 24) = 17/13 Or, 65q + 468 = 68q + 408 Or, 3q = 60 Or, q = 20 litres Total quantity of mixture тАШQтАЩ = 5q + 4q = 9q = 180 litres

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