Q: The income ratio of two workers A and B is 3:4. A and B's expenditure ratio is 2:3, and each saves Rs 200. Determine A and B's earnings.

A 500, 600
B 600, 800
C 600, 900
D 800, 1000
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Answer: B


Let X be the income of A.
Then, the income of B is 4X.

The expenditure of A is 2X * 2/3 = 4/3X.
The expenditure of B is 4X * 3/3 = 4X.

We are given that the saving in each case is 200, so we can set up the following equations:
X - 4/3X = 200
4X - 4X = 400

Solving these equations gives us X = 200.

Substituting this value back into the equations for the income of A and B, we find that the income of A is 3 * 200 = 600 and the income of B is 4 * 200 = 800.

Therefore, the income of A is 600 and the income of B is 800.

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Ratio and Proportion

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