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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%.

- A. 41%
- B. 56%
- C. 40%
- D. 38%

E. 39%

Here is complete explanation of Find the average increase rate if increase in the population in….

__Solution(By ExamCraze Team)__

Let 100 be the original population.

1^{st} 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%