Question

rs 9000 were divided equally among certain number of persons.Had there been 20 more persons , each would have got rs 160 less.Find the original number of persons

Answer 1

Let the original no. of persons be x, then
9000 divided equally between x persons, each one get ------> 9000/x
9000 divided equally between (x + 20) persons, each one get------> 9000/(x + 20)
According to the que,
9000/(x + 20) = 9000/x - 160
=> 9000x = (x+20)(9000 - 160x)
=> 9000x = 9000x - 160x^2 + 180000 - 3200x
=> 160x^2 + 3200x - 180000 = 0
=> x^2 + 20x - 1125 = 0
=> x^2 + 45x - 25x - 1125 = 0
=> x(x + 45) - 25(x + 45) = 0
=> (x + 45)(x - 25) = 0
    Either (x + 45) = 0 or ( x - 25) = 0
    (x + 45) = 0 => x = - 45 (not possible)
    Therefore, (x - 25) = 0 => x = 25. ans

Answer 2

now.. number of persons. we need to find ..,,
CaSE1
- TAKING Y =360 .
XY=9000
X×360=9000
X=25

CASE2
- TAKING Y= -200
XY= 9000
X× (-200)= 9000
X = -45

Thus neglecting -ve value .
therefore the answer is ..
The number of persons are ..-- 25


hope it helps ..

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