Question

The ratio of incomes of two persons is 9 : 7 and the ratio of their
expenditures is 4:3. If each of them manages to save Rs 2000 per month, find their monthly incomes.

Answer 1

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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.

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Answer

Correct option is

A

Rs.18,000,Rs.14,000

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

Answer 2

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