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Let the net bonus amount received by its full time employees in the beginning be Rs. x and n be the no. of employees working as freelancers.
Bonus amount distributed among employees in the beginning = 8x
Now, when the bonus received by each employee decreased by Rs. 150,
8x/(8 + n) = x - 150
8 + n = 8x/(x-150) ..(1)
Again, bonus received by each employee after extra amount of 1320 was sanctioned by the director = Rs. 520
(8x + 1320)/(8 + n) = 520
8 + n = (8x + 1320)/520 ..(2)
Using equations (1) and (2),
8x/(x - 150) = (8x + 1320)/520
x/(x - 150) = (x + 165)/520
520x = (x - 150)(x + 165)
x 2 - 505x - 24750 = 0
x = 550 or -45
As x cannot be negative, so, x = 550
Hence, net bonus amount received by its full time employees in the beginning = Rs. 550
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