Question

the ratio of incomes of two persons is 9:7 and the ratio of their expenditure is 4:1 .if each of them manages to save 2000 ruppees per month, find their monthly income
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Answer 1

Answer:

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10th

Pair of Linear Equations in Two Variables

Algebraic Solution of a Pair of Linear Equations

The ratio of income of two ...

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.

Step-by-step explanation:

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=(2000+4y)/9—(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

Hence, this is the answer.

Answer 2

Salary of 1st person=18000

Salary of 2nd person=14000