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? ?->(Show Answer!)

1. 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?

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By: anil on 05 May 2019 02.04 am

Let quantity of milk and sugar be $$4x$$ and $$5x$$ litres respectively. According to ques, => $$frac{4x}{5x+7}=frac{2}{3}$$ => $$12x=10x+14$$ => $$12x-10x=2x=14$$ => $$x=frac{14}{2}=7$$ $$ herefore$$ Total quantity of sugar = $$4 imes7=28$$ litres => Ans - (B)

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