The ratio of incomes of two persons is 9 : 7 and the ratio of their
expenditures is 4:3. If each of them manages to save Rs 2000 per month, find their monthly incomes.
Answers
Answer:
01 Visit remaining as a guest
You have limited access to toppr answr. Sign to unlock 35 lakh questions
What's your doubt?
10th
>Maths
>Pair of Linear Equations in Two Variables
>Algebraic Methods of Solving a Pair of Linear Equations
>The ratio of income of two ...
Maths
Bookmark
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.
Easy
share
Share
Answer
Correct option is
A
Rs.18,000,Rs.14,000
Let their salaries be 9x and 7x.
Let their expenditure be 4y and 3y.
According to the question,
9x−4y=2000 —(1)
7x−3y=2000 —(2)
From (1)
x=
9
2000+4y
—(3)
On putting x in (2), we get
7×
9
(2000+4y)
−3y=2000
9
(14000+28y)
−3y=2000
9
14000+28y−27y
=2000
14000+y=18000
y=4000
Now, put y in (3)
x=
9
2000+4×4000
x=
9
2000+16000
x=
9
18000
=2000
So,
Salary of first person =9×2000=Rs. 18000
Salary of second person =7×2000=Rs. 14000
Here your answer I hope it will help you....
@itzbrainlyaarya ❣️
mark me as brainliest please I need it....☺️
