Question

the ratio of income of two person is 9:4 then there expenditure is 7:3.find th income of each person.if they save rs.2000 each ​

Answer 1

Answer:

Let their salaries be 9x and 7x

let their expenditure be 4y and 3y

so,

ATQ

9x-4y=200—(1)

7x-3y=200—(2)

so,

from (1)

x=(200+4y)/9—(3)

put x in (2)

7[(200+4y)/9]-3y=200

(1400+28y)/9-3y=200

(1400+28y-27y)/9=200

y+1400=1800

y=400

now put y in (3)

x=(200+4×400)/9

x=(200+1600)/9

x=1800/9

x=200

so,

salary of first person=9×200=1800 rs

salary of second person=7×200=1400 rs

Answer 2

Step-by-step explanation:

let the ratio be in the form of x.

so, the ratio of income - ratio of expenditure= saving.

For 1st person,

9x-7x=2000

2x=2000

x=rs.1000

For 2nd person,

4x-3x=2000

x=2000.

therefore the income of 1st person is 9*1000=9000.

Income of 2nd person is 4*2000=8000.