Virtual Gate Test Series: Numerical Ability - Percentage

Question

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 $2\%$

Answer 1

$1.078 = {1.1}{x} \\ \implies x = \frac{1.078}{1.1} = 0.98$

So, population decreased by 2%.

Comments

per-capita-GDP  = GDP/Population

now, GDP = 1.078 and per-capia = 1.1

so population = 1.078/1.1

so, population decreased by 2%