CAT 2022 Question Paper | Quant Slot 1

CAT Questions

CAT 2022 Quant was dominated by Arithmetic followed by Algebra. 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 16 : Alex invested his savings in two parts. The simple interest earned on the first part at 15% per annum for 4 years is the same as the simple interest earned on the second part at 12% per annum for 3 years. Then, the percentage of his savings invested in the first part is

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Video Explanation

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Explanatory Answer

Let ₹x be invested in the first instrument and ₹y be invested in the second instrument.
The interest earned in the first instrument = 0.15 * x * 4
The interest earned in the second instrument = 0.12 * y * 3
0.15 * x * 4 = 0.12 * y * 3
20 x = 12 y
x : y = 3 : 5
This means, \(\frac{3}{8}\)th of the Savings was invested in the first instrument.
\(\frac{3}{8}\) as a percentage is 37.5%

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The answer is '37.5%'

Choice B is the correct answer.