Question
The population of a village is 11000. If the number of children increase by 11% and the number of adults increase by 20%, the population becomes 12660. Find the population of children and adults separately in the village.
Options :
7000, 4000
4500, 6500
6000, 5000
5500, 5500
Answer :
6000, 5000
Solution :
Let the Population of children = X
Then, Population of adult = 11000 – X
Population of children increasing by 11% and Population of adults is increasing by 20%
111%of children + 120% of adults = 12660
(X Å~ 111/100) + (11000 – X) Å~ 120/10 = 12660
By solving the above equation
X = 6000
Present Population of children = 6000
Present Population of adults = 5000
Rechecking-
6000 + 11% = 6000 + 660 = 6660
5000 + 20% = 6000
Total increased Population = 12,660
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