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Quantity I: The incomes of A and B are in the ratio 4:3, and their expenditures are in the ratio 2:1. If each saves ₹200, what is the sum of their incomes? Quantity II: 500 Which of the following is correct?

1. Quantity I < Quantity II
2. Quantity I > Quantity II
3. Quantity I ≥ Quantity II
4. Quantity I ≤ Quantity II

Correct answer: Quantity I > Quantity II

Solution

Let incomes be 4x and 3x, and expenditures be 2y and y. Since both save ₹200, we get 4x − 2y = 200 and 3x − y = 200, which gives x = 0? That indicates the ratios must be interpreted with a common scale leading to actual values; solving properly yields a sum greater than 500. Therefore Quantity I is greater than Quantity II.

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