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SSC CPO 2019 PYQ — Question 104

SSC CPO Tier I - 13th December 2019 - Shift 2 • Quantitative Aptitude • Q104

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The population of town B is 300% more than that of town A. For the next two years, the population of A increases by x% per year and that of B decreases by the same percentage per year. After 2 years, if the population of A and B becomes equal then the value of x is ......

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Correct answer: D

Explanation

The correct answer is Option 4 i.e. 100/3

Understanding Application
Tricks
Let A B
r = 33.3 300 1200
First yr 300 + 300 × 33.3% 1200 - 1200 × 33.3%
  399.9 800.4
2nd yr 399.9 + 399.9 of 33.3% 800.4 - 800.4 of 33.3%
  532.767 533.8668

 
Now

So

R = 100/3