### Find the average increase rate, if increase in the population in the first year is 30% and that in the second year is 40%.

**A.** 41%

**B.** 56%

**C.** 40%

**D.** 38%

## Show Answer

###
Answer-A

Solution-

__Solution(By Apex Team)__

Let 100 be the original population.
1st year’s population increased = 30%
So, Population after first year
= (100 + 30% of 100)
= 130
Population in second year increases by 40%,
Then Population
= (130 + 40% of 130)
= 182
The final population become 182 which was originally at 100.
It means there is 82% increment in the population in 2 years
So, Average increment
$=\frac{82}{2}=41 \%$

**Increase in population is given by, 100 == 30% ↑⇒ 130 == 40% ↑ ⇒ 182 Hence, average increase $=\frac{82}{2}=41 \%$**