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  • Rs. 9,000 were divided equally among a certain number of persons. Had there been 20 more persons, each would have got Rs.160 less. Find the original number of persons.     

Rs. 9,000 were divided equally among a certain number of persons. Had there been 20 more persons, each would have got Rs.160 less. Find the original number of persons. 

 

 

Answers (1)

\\$Let original number of persons be x $ \\ $According to the Question $ \\\\ \frac{9000}{x}-\frac{9000}{x+20}=160 \\\\ \frac{9000(x+20-x)}{x(x+20)}=160 \\\\ x^{2}+20 x-1125=0 \\ (x+45)(x-25)=0 \\ x=25 , x = -45 $(Not possible) \\ Hence the number of persons =25

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