CAT 2021 Question Paper | Quant Slot 2

CAT 2021 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 8 : Anil, Bobby and Chintu jointly invest in a business and agree to share the overall profit in proportion to their investments. Anil's share of investment is 70%. His share of profit decreases by ₹ 420 if the overall profit goes down from 18% to 15%. Chintu's share of profit increases by ₹ 80 if the overall profit goes up from 15% to 17%. The amount, in INR, invested by Bobby is

Video Explanation

Explanatory Answer

Anil's share of investment is 70%. His share of profit decreases by ₹ 420 if the overall profit goes down from 18% to 15%.
Let‘s consider the total amount invested by the three to be ‘x’
So, 70% of (18% of x - 15% of x) = 420.
70% of 3% of x = 420
x = 20,000.
Chintu's share of profit increases by ₹ 80 if the overall profit goes up from 15% to 17%.
Let’s consider the chintu’s percentage share to be ‘c’.
So, c% of 2% of 20,000 = 80.
c = 20%.
Therefore, the percentage of the amount invested by Bobby is 10%
Hence, 10% of 20,000 is 2000.

The answer is '2000'

Choice C is the correct answer.