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प्रश्न
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.
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उत्तर
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`
x2 + 15x – 3250 = 0
x2 + 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 of persons is 50.
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