Question

Salaries of Ram and
Sam are in the ratio
7:8, and their savings
are in the ratio 4:5. If
Sam spends half of
his income, then
what is the ratio of
their expenditures?
17:19
19:20
21:23
15:17​

Answer 1

Given : Salaries of Ram and Sam are in the ratio 7:8, and their savings are in the ratio 4:5.

Sam spends half of his income

To Find :  ratio of their expenditures

17:19

19:20

21:23

15:17​

Solution:

Assume that :

Salary of Ram = 7S

=> Salary of Sam = 8S

Sam spends half of his income, = (1/2)8S = 4S

Sam Saving = 8S - 4S = 4S

Saving of Ram / Saving of Sam = 4/5

=> Saving of Ram /4S = 4/5

=>  Saving of Ram = 16S/5

=> Saving of Ram = 3.2S/5

Ram Expenditure = 7S - 3.2S = 3.8S

ratio of their expenditures  = 3.8S : 4S

=> 38 : 40

=> 19 : 20

ratio of their expenditures are 19 : 20

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