If the persons A and B have incomes in the ratio 7 : 5 and expenditures in the ratio 3 : 2 and each one of them saves Rs. R, then, the income of A is:

Let the incomes of A and B be 7x and 5x, and their expenditures be 3y and 2y. Equating their savings gives 7x minus 3y equals 5x minus 2y, which simplifies to 2x equals y, meaning A's expenditure is 6x. Substituting y equals 2x into A's savings yields 7x minus 6x equals R, so x equals R, making A's income 7R.

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