15% of the inhabitants of a town died of cholera and 25% of the remaining population left the town. If even after this, the population of the town is 3375 what was it originally?
Answers
at_answer_text_math
Actually i feel the question is wrong, 10% of the inhabitants of a town died of cholera, then the solution will be as follows:
Let the population of the town be x.
Population after 10% of the inhabitants of a town died of cholera = x- 10x/100 = 90x/100
Population after 25% of the remaining population left the town
= 90x/100- 25/100*90x/100
= 9x/10-1/4*9x/10
= 9x/10 -9x/40 = 27x/40
27x/40 is the remaining population left after the inhabitants of a town died of cholera and the inhabitants left the town. ------------ eq. (1)
But it is given that 3375 is the population after the inhabitants of a town died of cholera and the inhabitants left the town. ------------ eq. (2)
So , from eq.(1) and eq.(2), it is
===> 27x/40 = 3375
===> x = 3375*40/27 ===> x = 5000
Therefore, the total population initially is 5000
at_explanation_text_math
If we go according to the question,
Let the population of the town be x.
Population after 15% of the inhabitants of a town died of cholera = x- 10x/100 = 85x/100
Population after 25% of the remaining population left the town
= 85x/100 - 25/100*85x/100
= 85x/100-1/4*85/100
= 51x/80
51x/80 is the remaining population left after the inhabitants of a town died of cholera and the inhabitants left the town. ------------ eq. (1)
But it is given that 3375 is the population after the inhabitants of a town died of cholera and the inhabitants left the town. ------------ eq. (2)
So , from eq.(1) and eq.(2), it is
===> 51x/80 = 3375
===> x = 3375*80/51 ===> x = 5294.11
Therefore, the total population initially is 5294.11 ( Population cannot be in decimal/point values)