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A country’s GDP grew by $7.8%$ within a period. During the same period, the country’s per-capita-GDP (= ratio of GDP to the total population) increased by $10%.$ During this period, the total population of the country$?$

  1. increased by $4\%$
  2. decreased by $4\%$
  3. increased by $2\%$
  4. decreased by $2\%$
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$1.078 = {1.1}{x} \\ \implies x = \frac{1.078}{1.1} = 0.98$

So, population decreased by 2%.
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