Question

The monthly income of A and B are in the ratio 3:4 and their monthly expenditure are in the ratio 5:7. If each saves rupees 5,000 month. Find the monthly income each.​

Answer 1

Answer:

A-30000

B-40000

Step-by-step explanation:

Their monthly expenditures are in the ratio 5:7. Let Their monthly expenditures are 5y and 7y respectively. Each saves ₹ 5,000 per month. Since the income of A and B are 3x and 4x, therefore the income of A is 30000 and the income of y is 40000.

Answer 2

Required answer:

A = 30,000

B= 30,000

Given :

Monthly income of A and B ratio = 3:4

Monthly expenditures in the ratio = 5:7

Each saves rupees per month = 5,000

To find

The monthly income of each.

Solution:

Let the income of A = 3x

Let the income of B = 4x

then,

3x - 5y = 5,000 ........(1)

4x - 7y = 5,000 ........(2)

Multiple y values of each equation by other.

21x - 35y = 35,000.......(3)

20x - 35y = 25,000.......(4)

Now, subtract each equation (3) and (4).

1x = 10,000

Therefore x = 10,000.

So, income of A = 3x = 3 × 10,000 = 30,000

income of B = 4x = 4 × 10,000 = 40,000

Therefore income of A = 30,000 and income of B = 40,000.