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Answer :
Final Answer:
The mixing ratio of petrol to kerosene in the final solution obtained by mixing the liquids from the three vessels is 83:22. Thus the correct option is (Option B).
Explanation:
To find the mixing ratio, we need to calculate the total amount of petrol and kerosene in each vessel, then combine them to determine the overall ratio. In the first vessel, the ratio of petrol to kerosene is 4:1, in the second vessel it's 5:2, and in the third vessel, it's 6:1.
Calculating the total amounts of petrol and kerosene in each vessel, we get:
1. For the first vessel: Petrol = (4/5) * Total volume, Kerosene = (1/5) * Total volume
2. For the second vessel: Petrol = (5/7) * Total volume, Kerosene = (2/7) * Total volume
3. For the third vessel: Petrol = (6/7) * Total volume, Kerosene = (1/7) * Total volume
Then, summing up the total petrol and kerosene across all three vessels, we get the overall amounts of petrol and kerosene in the final solution. Finally, we calculate the ratio of petrol to kerosene in the final solution, which simplifies to 83:22.
Therefore, the correct mixing ratio of petrol to kerosene in the final solution is 83:22. This indicates that for every 83 units of petrol, there are 22 units of kerosene in the mixture. This ratio is obtained by combining the individual ratios from each vessel and calculating the total amounts of petrol and kerosene in the final solution. Thus the correct option is (Option B).
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