Ratio and Proportion:
1. If a:b:c = 3:4:5, then a/b:b/c:c/a is:
Solution:
Let a,b and c be 3x,4x and 5x respectively.
a/b:b/c:c/a = 3x/4x : 4x/5x : 5x/3x
= 3/4: 4/5: 5/3
= 45:48:100.
2. A mixture contains water and oil in the ratio 3:1. If 4 litres of oil is added to the mixture, the ratio becomes 3:2. Find the quantity of water in the given mixture.
Solution:
Let the quantity of both be 3x and x respectively.
3x/(x+4) = 3/2
6x = 3x+12
3x = 12
x = 4.
The quantity of water in the given solution is 3x = 12 litres.
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