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 the monthly incomes.
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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 the monthly incomes.
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And let the expenditures be 4y and 3y.
Income-expenditure=saving
ATQ:9x-4y=2000.......eqn 1
7x-3y=2000.....eqn 2
There are two variables and two eqns.
solve it and get the value of x and y.
monthly income wud be 9x and 7x.
done.
Let the monthly incomes be represented by x and their expenditure be represented by y.
According to the given income ratios,
Income of the first person is 9x and that of the second persons is 7x.
Expenditure of the first person is 4y and the second person’s is 3y.
Both of them manage to save ₹2000 per month.
i.e. income – expenditure = savings
Then,
9x – 4y = 2000 …I
7x - 3y = 2000 …II
Multiplying I by 3 and II by 4, we get
27x – 12y = 6000 …III
28x – 12y = 8000 …IV
Subtracting III from IV, we get
x = 2000
Putting x = 2000 in I we get,
18000 – 4y = 2000
⇒ 16000 = 4y
⇒ y = 4000
Now,