Multiple choice

The ratio of the incomes of Raman and Aman is (4 : 3) and the ratio of their expenditures is (3 : 2). If each person saves Rs. 1889, then find the income of Raman.

  1. $5667$
  2. $7556$
  3. $7568$
  4. $5689$
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B Correct answer
Explanation

Let Raman's income = 4x, expenditure = 3y; Aman's income = 3x, expenditure = 2y. Savings = Income - Expenditure. For Raman: 4x - 3y = 1889. For Aman: 3x - 2y = 1889. Solving these equations gives x = 1889 and y = 1889. Therefore Raman's income = 4 × 1889 = 7556. The key is setting up the ratio variables correctly.

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