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Question -

Rs. 9000 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.



Answer -

Total amount = Rs. 9000
Let number of persons = x
Then each share = Rs. 9000/x
Increased persons = (x + 20)
According to the condition,
 
Either x + 45 = 0, then x = -45 which is not possible being negative
or x – 25 = 0, then x = 25
Number of persons = 25

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