Question 84

In a mixture, sugar and milk are in the ratio 4 : 5. If 7 litres of milk is added to it, then the ratio of sugar and milk in the new mixture becomes 2 : 3. What is the total quantity (In litres) of sugar in new mixture?

Solution

Let quantity of milk and sugar be $$4x$$ and $$5x$$ litres respectively.

According to ques,

=> $$\frac{4x}{5x+7}=\frac{2}{3}$$

=> $$12x=10x+14$$

=> $$12x-10x=2x=14$$

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

$$\therefore$$ Total quantity of sugar = $$4\times7=28$$ litres

=> Ans - (B)

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