Question 14

A mixture of 70 litres of wine and water contains 10% water. How much water must be added to make water 12 and half% of the total mixture ?

Solution

% water in 70 litres of mixture = 10%

=> Quantity of water = $$\frac{10}{100}\times70=7$$ litres

Let $$x$$ litres of water is added

According to ques,

=> $$x+7=\frac{12.5}{100}\times(x+70)$$

=> $$8x+56=x+70$$

=> $$8x-x=70-56$$

=> $$7x=14$$

=> $$x=\frac{14}{7}=2$$

$$\therefore$$ 2 litres of water must be added to make the water 12.5% in the new mixture.

=> Ans - (A)

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