CAT 2022 Question Paper | Quant Slot 2

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 18 : Mr. Pinto invests one-fifth of his capital at 6%, one-third at 10% and the remaining at 1%, each rate being simple interest per annum. Then, the minimum number of years required for the cumulative interest income from these investments to equal or exceed his initial capital is

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Video Explanation

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Explanatory Answer

Let the capital invested by Mr.Pinto be ₹300.
₹300 because we deal with one-third, further in the question.

Investments	Invested amount	Rate of interest	Return
one-fifth	60	6%	₹3.6
one-third	100	10%	₹10
remaining	140	1%	₹1.4
Total return in a year			₹15

The interest generated is ₹15 per year.
Let’s say the capital is invested for n years.
When return equals capital…
15 n = 300
n = 20.

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The answer is '20'