Question

The ratio of income of two persons is 9:7 and the ratio of the expenditures is 4:3 if each of them manages to save 2000 per month find the monthly income?​

Answer 1

Answer:

The income of 1 st person = 18000

The income of 2 nd person = 14000

Step-by-step explanation:

The ratio of incomes of 2 persons is 9:7

We can take that,

The income of 1 st person = 9x

The income of 2 nd person = 7x

Given that,

The ratio of expenditure is 4:3

Now use general formula,

Saving = Income - Expenditure

Then find the value of x,

By using cross multiplication,

(9x-2000)/(7x-2000) = 4/3

→ 3(9x - 2000) = 4(7x - 2000)

→ 27x - 6000 = 28x - 8000

→ 28x - 27x = 8000 - 6000

→ x = 2000

Now we can find the income,

The income of 1 st person = 9x

= 9 × 2000 = 18000.

The income of 2 nd person = 7x

= 7 × 2000 = 14000.

Answer 2

Answer:

The monthly income of:

1. First person = Rs 18000
2. Second person = Rs 14000

Step-by-step explanation:

Given that:

• The ratio of income of two persons is 9 : 7.
• The ratio of the expenditures is 4 : 3.
• Each of them manages to save 2000 per month.

To Find:

• The monthly income.

Let us assume:

• The monthly income of first person be 9x.
• The monthly income of second person be 7x.

We know that:

• Income - Savings = Expenditure

Finding the value of x:

According to the question.

⟶ (9x - 2000)/(7x - 2000) = 4/3

Cross multiplication.

⟶ 3(9x - 2000) = 4(7x - 2000)

⟶ 27x - 6000 = 28x - 8000

⟶ 28x - 27x = 8000 - 6000

⟶ x = 2000

The monthly income of:

1. First person = 9x = (9 × 2000) = Rs 18000
2. Second person = 7x = (7 × 2000) = Rs 14000