SOLUTION: a sum of Rs 10 is divided among a number of persons; if the number had been increased by one-fourth each would have received 5 paise less: find the number of persons. (Rs 1 = 100 p

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: a sum of Rs 10 is divided among a number of persons; if the number had been increased by one-fourth each would have received 5 paise less: find the number of persons. (Rs 1 = 100 p      Log On


   

Question 821487: a sum of Rs 10 is divided among a number of persons; if the number had been increased by one-fourth each would have received 5 paise less: find the number of persons. (Rs 1 = 100 paise)
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
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x = 10/y
x - 0.05 = 10/1.25y
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x - 0.05 = 10/1.25y
10/y - 0.05 = 10/1.25y
10/y - 10/1.25y = 0.05
10*1.25/1.25y - 10/1.25y = 0.05
10( 1.25/1.25y - 1.00/1.25y ) = 0.05
10( 0.25/1.25y ) = 0.05
2.5/1.25y = 0.05
2/y = 0.05
y = 2/0.05
y = 40
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x = 10/y
x = 10/40
x = 0.25
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answer:
the number of persons is 40
each received 0.25 rupee
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