Ratio of income of A, B and C is 3 : 7 : 4 and the ratio of their expenditure is 4 : 3 : 5. If A saves \(14\frac{2}{7}\)% of his income. Find the ratio of their saving.

06 : 71 : 11

               A    :    B    :    C

Income:   3    :    7    :    4   ..........(i)

Exp.:       4    :    3    :   5    .........(ii)

**Note: If a saves 14\(\frac{2}{7}\)% = \(\frac{1}{7}\) of his income, it means 

For A ⇒ Income : Expenditure = 7 : 6.

*[According to this ratio of income and Exp. of A is 3 : 4 but according to condition it should be 7 : 6

Therefor in this situation always follow two steps

a) Make it in the ratio 1 : 1

b) multiply by the new ratio in which we want to convert.]

a)

                     A    :    B    :    C

Income:  4 x (3    :    7    :    4

Exp.:      3 x (4    :    3    :    5

b)

                            A    :    B    :    C

Income:   7 x 4 x (3    :    7    :    4

Exp.:       6 x 3 x (4    :    3    :    5

New Ratio:

                A     :     B       :     C

Income:   84     :    196    :    112

Exp.:       72     :     54    :      90  

Saving:    12    :     142    :     22

                6     :      71     :    11