the ratio of income of two persons is 9:7 and the ratio of their expenditure is 4:3.if each of them manages to save Rs.2000 per month, find their monthly income.
Ratio of Income = 9x and 7x
Ratio of expenditure = 4y and 3y
Saving = Income - Expenditure
9x - 4y = 2000
7x - 3y = 2000
9x - 4y = 7x - 3y
2x = y = 2000
y = 2000
x = 1000
Income
9000 and 7000
- 6
Let the income of the persons be 9x and 7x
Let the expenditure of the persons be 4y and 3y.
Now it is given that both of them saves 2000 each.
So
9x-4y = 2000 1..
7x-3y = 2000 2 ..
From 1... x = 2000+4y /9xPutting this value of x in 2....we get 7x* 2000+4y /9x - 3y = 200028y+14000/9 - 3y = 20003y+2000 = 28y+14000/927y+ 18000 = 28y+14000y+14000 = 18000y = 4000So the expenditure of 1st person will be 16000 and 2nd person will be 12000Income = expenditure+savingSo the income of first person will be 16000+2000 = 18000And the income of second person will be 12000+2000 = 14000- 12
9X-4Y=2000 (1)
7X-3Y=2000 (2)
SUBSTITUTION METHOD
9X-4Y=2000
X=2000+4Y/9 (apply X in equation (2) )
7X-3Y=2000
7(2000+4Y/9)-3Y=2000
14000+28Y-27Y=18000
Y=18000-14000= 4000 therefore, (Y=4000)
substitute Y in equation (1)
9X-4y=2000
9X-4(4000)= 2000
9X-16000=2000
9X=2000+16000= 18000
X=18000/9= 2000 therefore, (X=2000)
MONTHLY INCOME -
first person- 9(2000) = 18000
second person - 7(2000) = 14000
7X-3Y=2000 (2)
SUBSTITUTION METHOD
9X-4Y=2000
X=2000+4Y/9 (apply X in equation (2) )
7X-3Y=2000
7(2000+4Y/9)-3Y=2000
14000+28Y-27Y=18000
Y=18000-14000= 4000 therefore, (Y=4000)
substitute Y in equation (1)
9X-4y=2000
9X-4(4000)= 2000
9X-16000=2000
9X=2000+16000= 18000
X=18000/9= 2000 therefore, (X=2000)
MONTHLY INCOME -
first person- 9(2000) = 18000
second person - 7(2000) = 14000
- 16
Dear student,
Let their income is x
their expenditure is y
Now,
Given
Ratio of their incomes 9x & 7x
Ratio of their expenditure 4y & 3y
A. T. Q
Forming equations....
9x - 4y = 2000.............(i)
7x - 3y = 2000............. (ii)
Equating both equation
9x - 4y = 7x - 3y
2x - y= 0
2x = y ..............,..... (iii)
Putting y= 2x in (i)
9x - 4(2x) = 2000
[ x = 2000]
Now their monthly income is....
9*2000 = RS 18000 &
7*2000 = RS 14000 respectively
Thanks & Regards
Let their income is x
their expenditure is y
Now,
Given
Ratio of their incomes 9x & 7x
Ratio of their expenditure 4y & 3y
A. T. Q
Forming equations....
9x - 4y = 2000.............(i)
7x - 3y = 2000............. (ii)
Equating both equation
9x - 4y = 7x - 3y
2x - y= 0
2x = y ..............,..... (iii)
Putting y= 2x in (i)
9x - 4(2x) = 2000
[ x = 2000]
Now their monthly income is....
9*2000 = RS 18000 &
7*2000 = RS 14000 respectively
Thanks & Regards
- 0
9X-4Y=2000 (1)
7X-3Y=2000 (2)
SUBSTITUTION METHOD
9X-4Y=2000
X=2000+4Y/9 (apply X in equation (2) )
7X-3Y=2000
7(2000+4Y/9)-3Y=2000
14000+28Y-27Y=18000
Y=18000-14000= 4000 therefore, (Y=4000)
substitute Y in equation (1)
9X-4y=2000
9X-4(4000)= 2000
9X-16000=2000
9X=2000+16000= 18000
X=18000/9= 2000 therefore, (X=2000)
MONTHLY INCOME -
first person- 9(2000) = 18000
second person - 7(2000) = 14000
thanks
7X-3Y=2000 (2)
SUBSTITUTION METHOD
9X-4Y=2000
X=2000+4Y/9 (apply X in equation (2) )
7X-3Y=2000
7(2000+4Y/9)-3Y=2000
14000+28Y-27Y=18000
Y=18000-14000= 4000 therefore, (Y=4000)
substitute Y in equation (1)
9X-4y=2000
9X-4(4000)= 2000
9X-16000=2000
9X=2000+16000= 18000
X=18000/9= 2000 therefore, (X=2000)
MONTHLY INCOME -
first person- 9(2000) = 18000
second person - 7(2000) = 14000
thanks
- 1
Let the income of the persons be 9x and 7x
Let the expenditure of the persons be 4y and 3y.
Now it is given that both of them saves 2000 each.
So
9x-4y = 2000 1..
7x-3y = 2000 2 ..
From 1... x = 2000+4y /9xPutting this value of x in 2....we get 7x* 2000+4y /9x - 3y = 200028y+14000/9 - 3y = 20003y+2000 = 28y+14000/927y+ 18000 = 28y+14000y+14000 = 18000y = 4000So the expenditure of 1st person will be 16000 and 2nd person will be 12000Income = expenditure+savingSo the income of first person will be 16000+2000 = 18000And the income of second person will be 12000+2000 = 14000
Let the expenditure of the persons be 4y and 3y.
Now it is given that both of them saves 2000 each.
So
9x-4y = 2000 1..
7x-3y = 2000 2 ..
From 1... x = 2000+4y /9xPutting this value of x in 2....we get 7x* 2000+4y /9x - 3y = 200028y+14000/9 - 3y = 20003y+2000 = 28y+14000/927y+ 18000 = 28y+14000y+14000 = 18000y = 4000So the expenditure of 1st person will be 16000 and 2nd person will be 12000Income = expenditure+savingSo the income of first person will be 16000+2000 = 18000And the income of second person will be 12000+2000 = 14000
- 0