Question 9

The alcohol and water in a mixture are in the ratio of 7 : 8 respectively. If 11 litre water is added to it, then the ratio of alcohol and water in the new mixture becomes 3 : 5 Whatis the total quantity (in litres) of the alcohol in the new mixture?


Let initial quantity of alcohol and water in the mixture be $$7x$$ and $$8x$$ litres respectively.

According to ques,

=> $$\frac{7x}{8x+11}=\frac{3}{5}$$

=> $$35x=24x+33$$

=> $$35x-24x=33$$

=> $$x=\frac{33}{11}=3$$

$$\therefore$$ Quantity of alcohol in final mixture = Quantity of alcohol in initial mixture = $$7\times3=21$$ litres

=> Ans - (A)

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