The director of a start-up with 8 full-time employees

Solution

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