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21 Oct 2020 : Volume
How many cubic meters of earth must be dug out to sink half depth of a well 7350 cm deep and of diameter 9 m.
A mixture contains sugar solution and colored water in the ratio 2 : 3. If 24 liters of colored water is added to the mixture, the ratio becomes 2 : 5. Find the initial quantity of sugar solution in the given mixture (in liters).
The initial ratio is 2 : 3
Let âkâ be the common ratio.
=> Initial quantity of sugar solution = 2 k
=> Initial quantity of colored water = 3 k
=> Final quantity of sugar solution = 2 k
=> Final quantity of colored water = 3 k + 24
Final ratio = 2 k : 3 k + 24 = 2 : 5
=> k = 12
Therefore, initial quantity of sugar solution in the given mixture (in liters) = 2 *12 = 24 liter