CAT 2025 Slot 1 QA Question 11: 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, re

Question

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, re

Accepted Answer

Let the investments in stocks, bonds and gold be $S$, $B$ and $G$ respectively.
$B = 25\%$ of $G = \dfrac{G}{4}$
$S + B + G = 100000$
$S = 100000 - \dfrac{5G}{4}$

Using the total return in one year,
$0.10S + 0.06B + 0.08G = 8200$
$0.10(100000 - \dfrac{5G}{4}) + 0.06(\dfrac{G}{4}) + 0.08G = 8200$
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