Math, asked by priya9276, 11 months ago

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

Answered by ss0883059
2

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)


priya9276: question is correct
priya9276: it's 15%
ss0883059: I have also given that also too
priya9276: ohh
priya9276: yes
priya9276: sory
Rajput95041: hyy
Rajput95041: hello
Ritiksuglan: hi
priya9276: hii
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