Multiple choice

A vessel contains a mixture of 30 L petrol, 15 L diesel and 8 L kerosene. Y L petrol, Y L diesel and Y L kerosene are taken away from the mixture. If 20% of the new mixture is 7 L, then, find the ratio of petrol, diesel and kerosene in new mixture.

  1. 24 : 9 : 2

  2. 12 : 5 : 1

  3. 27 : 12 : 5

  4. 36 : 21 : 14

  5. None of these
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A Correct answer
Explanation

Initial mixture: 30P, 15D, 8K (Total 53). After removing Y of each, remaining is (30-Y)P, (15-Y)D, (8-Y)K. Total remaining = 53 - 3Y. 20% of (53-3Y) = 7 implies 53-3Y = 35, so 3Y = 18, Y = 6. New mixture: 24P, 9D, 2K. Ratio is 24:9:2.

AI explanation

The initial mixture totals 53 litres (30 + 15 + 8), and replacing Y litres of each component leaves a new total of 53 - 3Y litres. The problem states that 20% of this new mixture is 7 litres, so 0.20 * (53 - 3Y) = 7, giving 53 - 3Y = 35 and Y = 6. Taking 6 litres away from each component leaves 24 litres of petrol, 9 litres of diesel, and 2 litres of kerosene. The required ratio is 24 : 9 : 2.

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