The ratio of incomes of two persons is 9 7

Asked by admin @ in Math viewed by 343 People

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 ₹2000 per month, find their monthly income.

Form a pair of linear equations for each of the following problems and find their solution.

Answered by admin @


Hi ,

The ratio of incomes of

two persons = 9 : 7

Let the income of first person = 9x ,

the income of second person = 7x

The ratio of expenditure = 4 : 3

the expenditure of first person = 4y

the expenditure of second person = 3y

Saving of first person = income - expenditure

9x - 4y = 2000---( 1 )

Saving of second person is

7x - 3y = 2000 ---( 2 )

Solving ( 1 ) and ( 2 ) , we get

x = 2000 ;

y = 4000;

Therefore ,

Monthly income of the firing person

= 9x = 9 × 2000 = Rs 18000

Monthly income of the second person

= 7x = 7 × 2000 = Rs 14000

I hope this helps you.

: )


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