Question

The income of abc are in the ratio of 12:9:7 and their expenditures are in the ratio of 15:9:8. If a saved 25% of his income . What is the ratio of the savings of the ab and



c.

Answer 1

Answer:

Step-by-step explanation:

The income of a b c are in the ratio of 12:9:7

their expenditures are in the ratio of 15:9:8.

let The income of a b c are 12k,9k,7k

let their expenditures are 15m,9m,8m

a saved 25% of his income

expediture    15m = 75 % of income

                      15m = 75[12k[]/100

                      15m = 3[12k]/4

                     15m =9k

                     m=9k/15 =3k/5

the savings of a  b  c   are 12k -15m , 9k -9m ,and 7k-8m

                          12k -9k  ,9k - 9[3k/5] ,and 7k- 8[3k/5]

                              3k ,[45k-27k]/5 and [35k-24k]/5

                              3k ,18k/5 and 11k/5

 ratio      3k:28k/5:11k/5   =15:18:11

Answer 2

Answer:

The ratio of the savings of the a b and c is 15 : 18 : 11

Step-by-step explanation:

The income of 'a'  'b'  'c' are in the ratio of 12 : 9 : 7

'a', 'b', 'c' expenditures are in the ratio of 15 : 9 : 8.

Let The income of a b c are 12k, 9k, 7k

Let their expenditures are 15m, 9m, 8m

'a' saved '25%' of his income

expenditure    15m = 75 % of income

                     15m = $\frac{75(12k)}{100}$

                     15m = $\frac{3(12k)}{4}$

                    15m =9k

                    m = $\frac{9k}{15}$ = $\frac{3k}{5}$

the savings of a  b  c   are 12k -15m , 9k -9m ,and 7k-8m

                         12k -9k  ,9k - 9[$\frac{3k}{5}$] ,and 7k- 8[$\frac{3k}{5}$]

                             3k ,$\frac{45k-327k}{5}$ and$\frac{35k-24k}{5}$

                             3k , $\frac{18k}{5}$ and $\frac{11k}{5}$

ratio      3k :  $\frac{18k}{5}$ :  $\frac{11k}{5}$  =15 : 18 : 11

Therefore, the ratio of the savings of the a b and c is 15 : 18 : 11