We need to use Compound Annual Growth Rate (CAGR) for this question :
Conventionally, CAGR is computed using the formula $\left[\right(\frac{Final}{Initial}{)}^{\frac{1}{n}}-1]$
Using the reverse gear approach ,we can obtain the answer much faster 
$\frac{Final}{Initial}=\frac{3000}{780}\approx 3.8$
We need to look for something close to 3.8 in the answer options
here n = 5.
Choose a middle answer option,assuming the answer is $30\%$
$(1.3{)}^5=(1.3{)}^2\times (1.3{)}^3=17\times 17\times 1.3=\mathrm{3.75.}$
Hence, the answer will be slightly higher than this = $31\%$
Option (b)