CAT 2025 Question Paper | Quant Slot 1

CAT Questions

CAT 2025 Quant was dominated by Algebra followed by Arithmetic. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 21 : 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

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Video Explanation

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Explanatory Answer

Investment in Bonds \(=x\)
Investment in Gold \(=4x\) (since bonds are 25% of gold)
Investment in Stocks \(=100,000-5x\) (since total = \(100,000\))

Returns: 10% on stocks, 6% on bonds, and 8% on gold:

\(10\%(100,000-5x)+6\%x+8\%(4x)=8200\)
\(0.10(100,000-5x)+0.06x+0.32x=8200\)
\(x=\frac{1800}{0.12}=Rs\ 15,000\)

Gain from Bonds \(=6\%\text{ of }x\)
\(=0.06\times15,000=900\)

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The answer is '900'

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