Question

Amour
19. (1) Let the incomes of ( A ) and ( B ) be ( 9 x ) and ( 4 x, ) respectively and their expenditures be ( 7 y ) and ( 3 y ), respectively. Then, according to the question,
(i)
and
[
begin{array}{l}
9 x-7 y=2000
{[because text { Income }-text { Expenditure }=text { Saving } }
4 x-3 y=2000
end{array}
]
On multiplying eq.
(i) by 3 and eq. (ii) by 7 and then subtracting, we get
( Rightarrow )
[
begin{array}{c}
27 x-21 y=6000
28 x-21 y=14000
-quad-x=-8000
x=8000
end{array}
]
Thus, income of ( A=9 times 8000=₹ 72000 ) and income of ( B=4 times 8000=₹ 32000 )

# 19. The incomes of A and B are in the ratio 9:4 and the ratio of their expenditures is 7:3. If each of them saves 2000, then find the incomes of A and B, respectively. (1) 572000, 32000 (2) 63000, 528000 (3) 790000, 40000 (4) None of these

Solution