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Monthly income of A and B are in the ratio of 4 ∶ 3 and their expenses bear the ratio of 3 ∶ 2. If each of them saves Rs. 6000 at the end of the month, then what is the monthly income of A?

Monthly income of A and B are in the ratio of 4 ∶ 3 and their expenses bear the ratio of 3 ∶ 2. If each of them saves Rs. 6000 at the end of the month, then what is the monthly income of A? Correct Answer Rs. 24000

Let the monthly income of A and B be 4x and 3x.

Let the monthly expenses of A and B be 3y and 2y.

Income = Expenditure + Saving

⇒ 4x = 3y + 6000    ----(1)

⇒ 3x = 2y + 6000    ----(2)

By solving eq. (1) and (2), we get

⇒ x = 6000 and y = 6000

Monthly salary of A = 4x = 4 × 6000 = 24000

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