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CAT 2025 Slot 1 QA Question 19

Type-in-the-answer (no negative marking) · Arithmetic · Percentages · Try it, then check the answer and solution below.

CAT 2025 Slot 1QAArithmetic • PercentagesModerate
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 Answer:
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Answer and solution

Answer: 900

📌 Core Concept
We need to determine the amount invested in bonds and then calculate the return from bonds using the given percentage return.
🔢 Step-by-Step Solution
1
Define Variables:
Let GG be the investment in gold.
Investment in bonds = 0.25G$.
Investment in stocks = 1,00,000 - G - 0.25G = 1,00,000 - 1.25G$.
2
Calculate Returns:
Return from stocks = 0.10 × (1,00,000 - 1.25G)$.
Return from bonds = 0.06 × 0.25G = 0.015G$.
Return from gold = 0.08G$.
3
Set Up the Equation:
$0.10(1,00,000 - 1.25G) + 0.015G + 0.08G = 8,200Simplify: $10,000 - 0.125G + 0.095G = 8,200 $10,000 - 0.03G = 8,200−0.03G=−1,800- 0.03G = -1,800 G=60,000G = 60,000
4
Find Investment in Bonds:
Bonds=0.25×60,000=15,000\text{Bonds} = 0.25 \times 60,000 = 15,000
5
Calculate Return from Bonds:
0.06×15,000=9000.06 \times 15,000 = 900
⚡ 30-Second Shortcut
Recognize that bonds are 25% of gold. Let gold be GG,

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