Question

the monthly income of rita and biswant is the ratio of 4:3 and their Express are in the ratio 3:2 if the each of them saves Rs 2000 in the month find their monthly income​

Answer 1

Answer:

Monthly Income

Rita Rs 8000

Biswas Rs 6000

Step-by-step explanation:

Assume

Income of Rita = 4X

Income of Biswas = 3X

Expense of Rita = 3Y

Expense of Biswas = 2Y

NOW

Each of two saves Rs 2000

4X- 3Y = 2000....1-- Multiply with 2

3X - 2Y= 2000.....2--Multiply with 3

Revise

8X-6Y=4000....3

9X-6Y=6000.....4

-    +    = -  

- X +0 = - 2000

X= 2000

Income of Rita = 4X= 4X2000= Rs 8000

Income of Biswas = 3X= 3X2000= Rs 6000

Answer 2

Step-by-step explanation:

Let the monthly income of Rita and Bishwant be 4x:3x.

Let the monthly expenses of Rita and Bishwant be 3y:2y.

Total savings in a month = Rs 2000

According to the question,

Total income - Total Expense = Total Savings

Now,

Total savings of Rita = Rs 4x - Rs 3y

or,Rs2000=Rs(4x−3y)

or,4x−3y=2000

or,4x=2000+3y

or,x=2000+3y\4 - (i)

And,

Total savings of Bishwant = Rs 3x - Rs 2y

or,Rs2000=Rs(3x−2y)

or,3x−2y=2000 - (ii)

Put value of x from equation (i) in equation (ii), we get,

or,3(2000+3y)\ 4 −2y=2000

or,3(2000+3y)\4=2000+2y

or,6000+9y=4(2000+2y)

or,6000+9y=8000+8y

or,9y−8y=8000−6000

∴y=2000

Put value of y in equation (i), we get,

or,x=2000+3×2000\4

or,x=2000+6000\4

or,x=8000\4

∴x=2000

So, (x,y) = (2000,2000)

We have,

Monthly income of Rita = Rs 4x = Rs 4×2000 = Rs 8000

Monthly income of Bishwant = Rs 3x = Rs 3×2000 = Rs 6000

Therefore, the required monthly income of Rita and Bishwant are Rs 8000 and Rs 6000, respectively.