# Two pots contain equal quantity of mixture of Alcohol and water. The ratio of alcohol and water in these pots is 2 ‚ą∂ 3 and 4 ‚ą∂ 1, respectively. Radha

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Two pots contain equal quantity of mixture of Alcohol and water. The ratio of alcohol and water in these pots is 2¬†‚ą∂ 3 and 4¬†‚ą∂ 1, respectively. Radha mixed content of the two pots together. Find the ratio of Alcohol and water in new mixture.
1. 4 ‚ą∂ 3
2. 2¬†‚ą∂ 3
3. 3¬†‚ą∂ 2
4. 3¬†‚ą∂ 4
5. None of these

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Correct Answer - Option 3 : 3¬†‚ą∂ 2

Given

The Ratio of Alcohol and water in two pots respectively = 2 ‚ą∂¬†3 and 4 ‚ą∂¬†1

Calculation

Let the quantity of mixture in each pot = x liters

Then the quantity of alcohol in each pot respectively = (2/5)x, and (4/5)x

And the quantity of water in each pot respectively =¬†(3/5)x,¬†and (1/5)x

Required ratio = [(2/5)x + (4/5)x] ‚ą∂¬†[(3/5)x + (1/5)x]

‚áí (6x/5)¬†‚ą∂ (4x/5) = 3¬†‚ą∂ 2

‚ąī The ratio of Alcohol and water in new mixture is 3¬†: 2.