a percentage qs

Q32. The population of towns A and B is in the ratio of 1 : 4. For the next 2 years, the population of A would increase and that of B would decrease by the same percentage every year. After 2 years, their population became equal. What is the percentage change in the population ?
a. 33.33% b. 66.66% c. 25% d. Not possible

Q32. The population of towns

Q32. The population of towns A and B is in the ratio of 1 : 4. For the next 2 years, the population of A would increase and that of B would decrease by the same percentage every year. After 2 years, their population became equal. What is the percentage change in the population ?
a. 33.33% b. 66.66% c. 25% d. Not possible

Soln.
I hv checkd all options but no one fits wd it..
So, (d)Not possible...
I dont knw whether my nswer is correct or not...
I wud be thankful if someone who gets diffrnt nswer nd wud xplain.

Regards,
Dipanjan........

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ans

at present A-x and B-4x population

after first year (x+(xy/100))for A and (4x-(4xy)/100) for B

after 2nd year (x+(xy/100))+((x+(xy)/100)y)100 for A
(4x-(4xy)/100)-((4x-(4xy/100))y/100) for B

aftre 2 year both r equal

after some step equation became like this

3y^2-1000y+30000=0 so y=300 or 100/3 so i think ans is 33.33%

Little Stra

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