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The income of two persons are in the ratio of a:b and their expenditure are in the ratio of c:d.if the savings of each person be ₹ s, then their income are given by?
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The income of two persons are in the ratio of a:b and their expenditur...
Calculation of Incomes based on Ratios
Income Ratio: a:b
Expenditure Ratio: c:d
Savings of each person: ₹s

Step 1: Identifying the Savings
Let the incomes of the two persons be ax and bx, where x is a common factor.
Hence, the expenditures will be cx and dx based on the given ratio.

Step 2: Calculating Savings
Savings = Income - Expenditure
Therefore, savings for the first person will be ax - cx = (a - c)x
And savings for the second person will be bx - dx = (b - d)x

Step 3: Finding the Incomes
Given that the savings for each person is ₹s, we have:
(a - c)x = (b - d)x = s
From this, we can find the value of x.

Step 4: Calculating Incomes
Once we have the value of x, we can find the incomes of the two persons:
Income of the first person = ax = a * x
Income of the second person = bx = b * x
Therefore, the incomes of the two persons will be a * x and b * x based on the given ratio of a:b and their savings being ₹s.
By following these steps, you can calculate the incomes of the two persons based on their savings and the given income and expenditure ratios.
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The income of two persons are in the ratio of a:b and their expenditure are in the ratio of c:d.if the savings of each person be ₹ s, then their income are given by?
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