Question 11

Three bottles of equal capacity are containing a mixture of milk and water in ratio 2 : 1, 3 : 7 and 4 : 11 respectively. These three bottles are emptied into a large bottle. What is the ratio of milk and water respectively in this large bottle?

Solution

Let capacity of each bottle = L.C.M.(3,10,15) = 30 litres

=> Milk in first bottle = $$\frac{2}{2+1}\times30=20$$ litres

and water in first bottle = $$30-20=10$$ litres

Similarly, in 2nd bottle, milk = 9 litres and water = 21 litres

In 3rd bottle, milk = 8 litres and water = 22 litres

=> Total quantity of milk = $$20+9+8=37$$ litres

and water = $$10+21+22=53$$ litres

$$\therefore$$ Required ratio = 37 : 53

=> Ans - (A)


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