A mixture contains alcohol and water in the ratio 4:3. If 5 litres of water is added to the mixture the ratio becomes 4:5. Find the quantity of alcohol in the given mixture :

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A mixture contains alcohol and water in the ratio 4:3. If 5 litres of water is added to the mixture the ratio becomes 4:5. Find the quantity of alcohol in the given mixture :

A12 ltrs

B20 ltrs

C22 ltrs

D10 ltrs

Answer:

D. 10 ltrs

Read Explanation:

alcohol : water = 4 : 3 = 4x : 3x If 5 litres of water is added to the mixture the ratio becomes 4:5 ⇒ 4x/(3x + 5) = 4/5 5 × 4x = 4(3x + 5) 20x = 12x + 20 8x = 20 x = 20/8 = 5/2 quantity of alcohol = 4x = 4 × 5/2 = 10 L