Question

Ratio of income of 2 person is 9:7 and ratio of their expendicture is 4:3. If each of them manages to save Rs 2000 per month . Find their monthly income

Answer 1

mark it as a brainielist answer

Answer 2

$ratio \: of \: income = \frac{9}{7}$
$ratio \: ofexendicture \: = \frac{4}{3}$

=>
income of. ist person = 9x



=>

income. of 2nd person = 7x


and. in Expanditure

=>Expenditure of 1 person = 4y


=>Expenditure of 2nd person = 3y




Saving of. ist person. = Rs 2000




Saving. of. 2nd. person= Rs 2000





So


FOR. FIRST PERSON=>


9X- 4y=2000. EQ (......1)



FOR 2ND PERSON=>


7X - 3y=2000. EQ(.........2)





On. solving both eq. we get


from eq 1st



9x-4y=2000

=>9x=2000-4y


=>
$x = \frac{2000 - 4y}{9}$

Now. put value of x in eq 2nd we get


7x-3y=2000


so. on putting value of x


$7( \frac{2000 + 4y)}{9} - 3y = 2000$

$\frac{14000 + 28y + - 27y}{9} = 2000$

14000+y==18000

y=Rs 4000


so
$x = \frac{2000 + 4y}{9}$



=>
$x = \frac{2000 + 4(4000)}{9}$



$x = 2000$


income of ist person = 9x= 9 × 2000= Rs18000


income of 2nd person =7x= 7×2000=Rs14000