The income of A, B and C are in the ratio 4 : 6 : 5 and their expenditure are in the ratio 5 : 8 : 6. If A saves 25 % of his income, then find the ratio of their savings.

5 : 6 : 7

               A    :    B    :    C

Income:   4    :    6    :    5    ..........(i)

Exp.:        5    :   8    :    6    .........(ii)

**Note: If a saves 25% = \(\frac{1}{4}\) of his income, it means 

For A ⇒ Income : Expenditure = 4 : 3.

*[According to this ratio of income and Exp. of A is 4 : 5 but according to condition it should be 4 :  3

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:  5 x (4    :    6    :    5

Exp.:      4 x ( 5    :   8    :    6

b)

                            A    :    B    :    C

Income:   4 x 5 x (4    :    6    :    5

Exp.:       3 x 4 x ( 5    :   8    :    6

New Ratio:

                A     :     B      :    C

Income:   80     :   120    :   100

Exp.:        60    :     96     :     72  

Saving:    20    :    24      :    28

               5      :     6      :     7