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WBCS Preliminary Examination 2017 — General Studies · Question 173 of 200

Q173
ArithmeticPercentage, Profit & Loss
The population of a district increases by 4% during the first year and decreases by 5% during the second year. If the present population of a district is 494,000, two years ago it was
  1. a.475,000
  2. b.500,000
  3. c.525,000
  4. d.600,000

Answer: (B) 500,000

Let the population two years ago be $x$. After the two changes: $x \times 1.04 \times 0.95 = 494{,}000$, i.e. $x \times 0.988 = 494{,}000$, giving $x = 500{,}000$.