CAT 2025 Slot 1 QA Q21 Equations

Question 21 of the Quantitative Ability (QA) section, CAT 2025 Slot 1, with CAT's official answer and a worked solution.

Kamala divided her investment of Rs 100000 between stocks, bonds, and gold. Her investment in bonds was 25% of her investment in gold. With annual returns of 10%, 6%, 8% on stocks, bonds, and gold, respectively, she gained a total amount of Rs 8200 in one year. The amount, in rupees, that she gained from the bonds, was

TITA: type in the answer. There are no options and no negative marking.

Answer: 900 Equations TITA

Solution

  1. Let gold \(= g\); then bonds \(= 0.25g\) and stocks \(= 100000 - 1.25g\).
  2. Returns: \(0.1(100000 - 1.25g) + 0.06(0.25g) + 0.08g = 8200 \Rightarrow 10000 - 0.03g = 8200 \Rightarrow g = 60000\).
  3. Bonds \(= 15000\), and the gain is \(6\% \times 15000 = 900\).

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