Question

The ratio of the income to the expenditure of a family is 9 : 8. Find the savings if the income is ₹ 9000​

Answer 1

Step-by-step explanation:

The ratio to income to expenditure is 9:8

∴let the income be 9x and expenditure be 8x.

saving = income - expenditure

∴saving = 9x - 8x = x

income = 9x

∴ 1800 = 9x

∴ x = 200

∴ savings = 200

Answer 2

Answer:

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

Hence, this is the answer.