# Find the average increase rate if increase in the population in…

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

1. A. 41%
2. B. 56%
3. C. 40%
4. D. 38%

E. 39%

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### Solution(By ExamCraze 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%

Mind Calculation Method:
Increase in population is given by,
100 == 30% \$\$ uparrow \$\$ ⇒ 130 == 40% \$\$ uparrow \$\$ ⇒ 182
Hence, average increase = \$\$frac{{82}}{2}\$\$ = 41%