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20 Oct 2020 : Mixture

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).

OPtion

1) 12
2) 16
3) 15
4) 18
5) 20
6) 24
7) 48
8) 32
9) 36
10) None of these

Solution

The initial ratio is 2 : 3
Let ‘k’ 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

Correct Option: 6 Best Solution (0)