Question:
The concentration of petrol in three different mixtures (of petrol and kerosene) is 1/2,3/5 and 4/5 respectively. If 2 litres, 3 litres and 1 litre are taken from these three different vessels and mixed, what is the ratio of petrol and kerosene in the new mixture?
The concentration of petrol in three different mixtures (of petrol and kerosene) is 1/2,3/5 and 4/5 respectively. If 2 litres, 3 litres and 1 litre are taken from these three different vessels and mixed, what is the ratio of petrol and kerosene in the new mixture?
Updated On: Sep 26, 2024
- 4 : 5
- 3 : 2
- 3 : 5
- 2 : 3
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The Correct Option is B
Solution and Explanation
Quantity of Petrol in the mixture,
\(=\frac{1}{2}×2+\frac{2}{5}×3+\frac{4}{5}×1\)
\(=1+\frac{9+4}{5}\)
\(=\frac{18}{5}\)
Quantity of kerosene in the mixture,
\(=\frac{1}{2}×2+\frac{2}{5}×3+\frac{1}{5}×1\)
\(=1+\frac{6+1}{5}\)
\(=\frac{12}{5}\)
Ratio of petrol and kerosene in the mixture,
\(=\frac{18}{5}:\frac{12}{5}\)
\(=3:2\)
Hence, option B is the correct answer.The correct option is (B): 3 : 2
\(=\frac{1}{2}×2+\frac{2}{5}×3+\frac{4}{5}×1\)
\(=1+\frac{9+4}{5}\)
\(=\frac{18}{5}\)
Quantity of kerosene in the mixture,
\(=\frac{1}{2}×2+\frac{2}{5}×3+\frac{1}{5}×1\)
\(=1+\frac{6+1}{5}\)
\(=\frac{12}{5}\)
Ratio of petrol and kerosene in the mixture,
\(=\frac{18}{5}:\frac{12}{5}\)
\(=3:2\)
Hence, option B is the correct answer.The correct option is (B): 3 : 2
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