What will be the ratio of petrol and kerosene in the final solution formed by mixing petrol and kerosene that are present in three vessels of equal capacity in the ratios 4 : 1, 5 : 2 and 6 : 1 respectively?
Solution
Correct Answer: Option B
Let, the capacity of each vessel is x.
Petrol and kerosene in the ratio 4 : 1 means, Out of 5 units of mixture, 4 are of petrol and one is of kerosene.
In the first vessel, petrol is 4/5th and kerosene is 1/5th of x.
In the second vessel, petrol is 5/7th and kerosene is 2/7th of x.
In the third vessel, petrol is 6/7th and kerosene is 1/7th of x.
After mixing,
Quantity of petrol = (4x/5) + (5x/7) + (6x/7) = 83x/35
Quantity of kerosene = (x/5) + (2x/7) + (x/7) = 22x/35
So, ratio of petrol to kerosene \(= {\rm{}}\frac{{\frac{{83}}{{35}}}}{{\frac{{22}}{{35}}}} = \frac{{83}}{{22}}\)
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