The monthly income of A and B are in the ratio of 9 : 7 and their monthly expenditure are in the
ratio of 4:3. If each saves Rs 1600 per month, find the monthly income of each
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Answer:
let incomes of both persons be 9x and 7x
and their expenditures be 4y and 3y
then
9x-4y=1600---eq1
7x-3y=1600----eq2
multiplying eq1 with 3 and eq2 with 4,we get
27x-12y=4800--eq3
28x-12y=6400--eq4
subtracting eq3 from eq4,we get
x=1600
since 7x-3y=1600
7(1600)-3y=1600
3y=1600x6
y=3200
then income of x and y is 9(1600),7(1600)
I.e 14400,11200
exp being 4(3200),3(3200),
I.e 12800,9600
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20
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