1. **Problem statement:** Find the population of the village in the beginning of 2079 BS given: - Initial population in 2077 BS = 120000 - Annual growth rate = 2% (or 0.02) - Migration in 2079 BS = 152 people 2. **Formula used:** Population after $n$ years with growth rate $r$ is given by: $$ P_n = P_0 (1 + r)^n $$ where $P_0$ is the initial population, $r$ is the growth rate, and $n$ is the number of years. 3. **Calculate population at the beginning of 2079 BS before migration:** Since 2079 BS is 2 years after 2077 BS, $n=2$. $$ P_2 = 120000 \times (1 + 0.02)^2 = 120000 \times (1.02)^2 $$ Calculate $(1.02)^2$: $$ (1.02)^2 = 1.02 \times 1.02 = 1.0404 $$ So, $$ P_2 = 120000 \times 1.0404 = 124848 $$ 4. **Add the migrated population:** $$ P_{2079} = 124848 + 152 = 125000 $$ 5. **Final answer:** The population of the village at the beginning of 2079 BS is **125000**.