🎉 Ace XAT 2025 with 2IIM's Crash Course - Enrol now


🎉Effortlessly calculate your score with the 2IIM Score Calculator!🎉

CAT 2023 Question Paper | Quant Slot 1

CAT Previous Year Paper | CAT Quant Questions | Question 16

CAT 2023 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 16 : Anil invests Rs. 22000 for 6 years in a certain scheme with 4% interest per annum, compounded half-yearly. Sunil invests in the same scheme for 5 years, and then reinvests the entire amount received at the end of 5 years for one year at 10% simple interest. If the amounts received by both at the end of 6 years are same, then the initial investment made by Sunil, in rupees, is


🎉 Ace XAT 2025 with 2IIM's Crash Course - Enrol now


Best CAT Online Coaching
Try upto 40 hours for free
Learn from the best!


2IIM : Best Online CAT Coaching.

🎉Effortlessly calculate your score with the 2IIM Score Calculator!🎉


2IIM : Best Online CAT Coaching.


Video Explanation


Best CAT Coaching in Chennai


CAT Coaching in Chennai - CAT 2022
Limited Seats Available - Register Now!


Explanatory Answer

“Anil invests Rs. 22000 for 6 years in a certain scheme with 4% interest per annum, compounded half-yearly.”

Total Amount of Anil’s investment after 6 years = \( 22000 \times \left( 1 + \frac { 2 } { 100 } \right) ^ { 12 } = 22000 \times 1.02 ^ { 12 } \)
Let Sunil Invest a Principal of P.
“Sunil invests in the same scheme for 5 years, and then reinvests the entire amount received at the end of 5 years for one year at 10% simple interest.”
Total Amount of Sunil’s investment after 6 years = \( P \times \left( 1 + \frac { 2 } { 100 } \right) ^ { 10 } \times 1.1 = P \times 1.02 ^ { 10 } \times 1.1 \)
“…the amounts received by both at the end of 6 years are same…”
\( 22000 \times 1.02 ^ { 12 } = P \times 1.02 ^ { 10 } \times 1.1 \)
\( P = \frac { 22000 \times 1.02 ^ { 2 } } { 1.1 } = 20808 \)
Therefore, Sunil’s investment is Rs. 20808


The answer is '20808'

CAT Questions | CAT Quantitative Aptitude

CAT Questions | Verbal Ability for CAT


Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
58/16, Indira Gandhi Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093

How to reach 2IIM?

Mobile: (91) 99626 48484 / 94459 38484
WhatsApp: WhatsApp Now
Email: info@2iim.com