Multiple choice

The incomes of A and B are in the ratio 2 : 3 and their expenditures are in the ratio 1 : 2. If each saves Rs. 24,000, find A's income.

  1. Rs. 24,000

  2. Rs. 72,000

  3. Rs. 19,200

  4. Rs. 48,000
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let incomes be 2x and 3x, and expenditures be 1y and 2y. Savings are Income - Expenditure: 2x - y = 24000 and 3x - 2y = 24000. Multiplying the first by 2 gives 4x - 2y = 48000. Subtracting the second from this gives x = 24000. A's income is 2x = 48000.

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