What is the percentage increase in the population of the country from 2014 to 2017 if it increases at a rate of 20% from 2014 to 2015 and reduces at a rate of 10% from 2015 to 2016 but again increases at a rate of 50% during 2016 to 2017?
A.
62%
B.
46%
C.
58%
D.
54%
Answers
Answer:
The total percent of population increase from 2014 to 2017 is 62% (100% to 162%)
Step by step explanation :
Hey Mate,
Given Data,
The Population in 2014 is 100%
The population increase by 20% in 2015.
The population decrease by 10% in 2016.
The population increase by 50% in 2017.
So,
The total percent of population increase from 2014 to 2017 is :
=> 100 × (120/100) × (90/100) × (150/100)
=> 16,20,000/ 10,000
=> 162 %
So,
The total percent of population increase from 2014 to 2017 is 62% (100% to 162%)
The percentage increase in the population of the country from 2014 to 2017 would be 62%
Step-by-step explanation:
Let the population at the beginning of the year 2014 be x
Percentage increase during 2014 - 15 = 20%
∵ The Population at the end of the year 2015 would be = 20% of x + x
= 20x/100 + x
= 6x/5
Percentage decrease during the year 2015 -16 = 10%
∵ The population at the end of the year 2016 would be = 6x/5 - 10% of 6x/5
= (30x - 3x)/25
= 27x/25
Percentage increase during the year 2016 -17 = 50%
∵ The population at the end of the year 2017 = 27x/25 + 50% of 27x/25
= (27x + 54x)/50
= 81x/50
Percentage increase in the population during the years 2014 -17
= (81x/50 - x)/x * 100
= 62%
Learn more: percentage
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