Question 8

Two vessels of equal capacity contains juice and water in the ratio of 5 : 1 and 5 : 7 respectively. The mixture of both the vessels are mixed and transferred into a bigger vessel. What is the ratio of juice and water in the new mixture?

Solution

Let capacity of each vessel = L.C.M. (6,12) = 12 units

Quantity of juice in first vessel = $$\frac{5}{(5+1)}\times12=10$$ units

=> Quantity of water in first vessel = $$12-10=2$$ units

Similarly, juice in second vessel = $$5$$ units and water = $$7$$ units

Now, ratio of juice and water in the new mixture = $$\frac{(10+5)}{(2+7)}$$

= $$\frac{15}{9}=\frac{5}{3}$$

=> Ans - (B)

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