The monthly incomes of A and B are in the ratio 3 : 4 and the ratio of their monthly expenditures is 2 : 3. If each saves Rs. 4000 per month, then what is the income of B?

The monthly incomes of A and B are in the ratio 3 : 4 and the ratio of their monthly expenditures is 2 : 3. If each saves Rs. 4000 per month, then what is the income of B? Correct Answer Rs. 16000

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

And the monthly expenditures be 2y and 3y

Saving = income – expenditure

4000 = 4x – 3y        ----(1)

Similarly,

4000 = 3x – 2y        ----(2)

From 2 × (1) – 3 × (2)

8000 – 12000 = 8x – 9x

x = 4000

The income of B = 4x = 16000

The income of B is 16000.

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