CAT 2025 Slot 1 · Quant · Question 21
CAT 2025 Slot 1 previous year question on Percentage, with the answer and a step-by-step solution.
Kamala divided her investment of ₹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 ₹8200 in one year. The amount, in ₹, that she gained from the bonds, was
Answer & solution
Answer: 900
Write everything in terms of the bond investment B. Since bonds are 25\% of gold, gold is 4B, and stocks take the rest: 100000-5B.
The total return is
0.10\left( 100000-5B \right)+0.06B+0.08\left( 4B \right)=8200.
That is 10000-0.5B+0.06B+0.32B=8200, so 10000-0.12B=8200.
Hence 0.12B=1800 and B=15000.
The question asks for the gain from bonds, not the amount invested: 0.06\times 15000=900, that is ₹900.
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