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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

A. 11 ltr

B. 12ltr

C. 10ltr

D. 15ltr

Correct Answer :

C. 10ltr


Let the quantity of alcohol and water be 4x litres and 3x litres respectively       
4x/(3x+5)=4/5 
20x=4(3x+5)
8x=20 
x=2.5        
Quantity of alcohol = (4 x 2.5) litres = 10 litres.