Final answer:
The solution involves using the given ratios of income and expenditure for Sita and Geeta to set up a system of equations. Assuming that the ratio of their expenditures corresponds to actual amounts spent, it's possible to solve for their incomes by accounting for their monthly savings of 5000.
Step-by-step explanation:
The question involves solving a problem with proportional relationships to determine the separate incomes of Sita and Geeta. Given that Sita and Geeta save the same amount, we can use the given ratios and their savings to determine their income. With the ratio of incomes being 4:3 and the ratio of expenditures being 3:2, we can set up equations to find their incomes.
Let Sita's income be 4x and Geeta's income be 3x. Similarly, Sita's expenditure can be represented as 3y, and Geeta's as 2y. Since both save 5000, we can use the savings equation which is: Income - Expenditure = Savings. For Sita, this will be 4x - 3y = 5000, and for Geeta, 3x - 2y = 5000.
By solving the two equations simultaneously, we can find the values of x and y, which can then be used to calculate the actual incomes of Sita and Geeta. However, an important piece of information appears to be missing in the problem, which is the connection between the ratios of their incomes and expenditures. Without additional information or assumptions, we cannot determine one unique solution for their incomes.
If we assume that the ratio of expenditures corresponds to actual amounts spent (and thus their income must be greater than their expenses by the amount they save), we have two equations with two unknowns, which can be solved.