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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

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View Full Answer

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
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Hey raj; It's already given that the ratio of INCOMES IS 9:7.....SO U DONT HAVE TO ADD EXPENDITURES AND SAVINGS!
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yeah
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the answer is not so cleared

 

  • -17
2x = y but 2x=y=200 is wrong
 
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Find the distance between the graph of equation x=-3 and ×=2 on graph
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hmmm

 
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Rs.9000 AND Rs.7000
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ok
 
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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






 
  • 16
set all exercise solutions
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I love u iska answer
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Cheers!!

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This is the answer

  • -1
the problem shold be solved like this
any doubts ask me

  • -1
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
  • 0
For 9:7 monthly income is ?125.
For 4:3 monthly income is approx ?285.7
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Give the notes
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14000
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it is clear boi
 
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1st person income =rupees 3600
2nd person income =rupees 3500
If u want solution then reply to me.
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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
  • 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
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