19. The incomes of A and B are in t...
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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

11th - 12th Class
Maths
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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 )
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