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CA Foundation · Quantitative Aptitude · Ratio and Proportion, Indices and Logarithms

The incomes of Ramesh and Suresh are in the ratio 5:4 and their expenditures are in the ratio 3:2. If each saves ₹6,000, the income of Ramesh is:

Let incomes be 5k and 4k and expenditures 3m and 2m. Equal savings of ₹6,000 give k = 3,000 after solving, so Ramesh's income is 5 × 3,000 = ₹15,000. Check: Suresh earns ₹12,000, spends ₹6,000 and saves ₹6,000 too, and Ramesh spends ₹9,000.

  1. A₹9,000
  2. B₹12,000
  3. C₹18,000
  4. D₹15,000Correct

Explanation

Let incomes be 5k and 4k and expenditures 3m and 2m. Then 5k − 3m = 6,000 and 4k − 2m = 6,000. The second gives m = 2k − 3,000; substituting in the first gives k = 3,000. Ramesh's income is 5 × 3,000 = ₹15,000 (expenditure ₹9,000). ₹12,000 is Suresh's income, not Ramesh's.

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