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Investment Returns on Bonds and Gold

CAT 2025 Slot 1 · Quantitative Ability · Easy · Percentages

This is an easy Quantitative Ability question from the CAT 2025 Slot 1 paper. It tests Percentages. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

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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

Answer

600

Explanation

Let investment in Gold = GG. Then investment in Bonds B=0.25G=G/4B = 0.25G = G/4. Let investment in Stocks = SS. S+B+G=100000  ⟹  S+1.25G=100000  ⟹  S=100000−1.25GS + B + G = 100000 \implies S + 1.25G = 100000 \implies S = 100000 - 1.25G. Total gain = 0.10S+0.06B+0.08G=82000.10S + 0.06B + 0.08G = 8200. Substitute SS and BB: 0.10(100000−1.25G)+0.06(0.25G)+0.08G=82000.10(100000 - 1.25G) + 0.06(0.25G) + 0.08G = 8200 10000−0.125G+0.015G+0.08G=820010000 - 0.125G + 0.015G + 0.08G = 8200 10000−0.03G=8200  ⟹  0.03G=1800  ⟹  G=6000010000 - 0.03G = 8200 \implies 0.03G = 1800 \implies G = 60000. Hence, B=0.25×60000=15000B = 0.25 \times 60000 = 15000. Gain from bonds = 6% of 15000=0.06×15000=9006\% \text{ of } 15000 = 0.06 \times 15000 = 900. Wait, let's re-verify: 0.125−0.015−0.08=0.030.125 - 0.015 - 0.08 = 0.03. Yes! G=60000G = 60000, B=15000B = 15000, Gain = 900.

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