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Rs 6500 Was Divided Equally Among a Certain Number of Persons. Had There Been 15 Persons More, Each Would Have Got Rs 30 Less. Find the Original Number of Persons. - Mathematics

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Question

Rs 6500 was divided equally among a certain number of persons. Had there been 15 persons more, each would have got Rs 30 less. Find the original number of persons.

Solution

Let the original number of persons be x

Total money which was divided = Rs 6500

Each person share =  Rs `6500/"x"`

From the given information

`6500/x - 6500/(x + 15) = 30`

`3250/(x(x + 15)) = 1`

`x^2 + 15x - 3250 = 0`

`x^2 + 65x - 50x - 3250 = 0`

x(x + 65)(x - 50) = 0

x = -65, 50

Since the number of persons cannot be negative

hence the original number s of person is 50

  Is there an error in this question or solution?
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APPEARS IN

 Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 6: Solving (simple) Problems (Based on Quadratic Equations)
Exercise 6(E) | Q: 5 | Page no. 79
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Rs 6500 Was Divided Equally Among a Certain Number of Persons. Had There Been 15 Persons More, Each Would Have Got Rs 30 Less. Find the Original Number of Persons. Concept: Quadratic Equations.
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