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Question

What is the total initial quantity of the mixture if it originally had petrol and diesel in an 8:7 ratio, and after removing 315 ml of the mixture and adding 52 ml of diesel and 88 ml of petrol to the remaining mixture, the ratio of petrol to diesel became 4:3?

A 330 ml Correct Answer Incorrect Answer
B 512 ml Correct Answer Incorrect Answer
C 600 ml Correct Answer Incorrect Answer
D 474 ml Correct Answer Incorrect Answer
E none of these Correct Answer Incorrect Answer

Solution

We can say that quantity of petrol and diesel in the mixture initially is '8p' ml and '7p' ml. Quantity of petrol in 315 ml of mixture = (8/15) × 315 = 168 ml Quantity of diesel in 315 ml of mixture = 315 – 168 = 147 ml According to question; (8p – 168 + 88)/(7p – 147 + 52) = 4/3 (8p – 80)/(7p – 95) = 4/3 6p – 60 = 7p – 95 p = 35 Quantity of initial mixture = 15 × 35 = 525 ml

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