The ratio of income of two workers A and B are 3: 4. The ratio of expenditure of A and B is 2: 3 and each saves Rs 200. Find the income of A and B.

600 and 800

Let the incomes of A and B be $3x$ and $4x$.

Let their expenditures be $2y$ and $3y$.

Since each saves ₹200:

• A's income $-$ A's expenditure $= 200$

$3x - 2y = 200$

• B's income $-$ B's expenditure $= 200$

$4x - 3y = 200$

Subtract the first equation from the second:

$(4x - 3y) - (3x - 2y) = 200 - 200$

$x - y = 0$

$x = y$

Substitute $y = x$ into the first equation:

$3x - 2x = 200$

$x = 200$

Therefore,

• Income of A $= 3x = 3 \times 200 =$ ₹600
• Income of B $= 4x = 4 \times 200 =$ ₹800