Question
The director of a start-up with 8 full-time employees
decided to distribute a portion of the annual profit as bonuses to the employees. However, it was later discovered that, in addition to the full-time employees, some freelancers were also included in the profit distribution. As a result, the bonus each employee received decreased by Rs. 150. To address this, the director increased the total bonus amount by Rs. 1320, ensuring that each employee now receives Rs. 520 as a bonus. What was the original bonus amount each full-time employee was supposed to receive initially?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
If ‘A’ means (÷), ‘B’ means (×), ‘C’ means (+), and ‘D’ means (-), then ____ is the value of the expression.
25 A 5 B 8 D 6 C 4...
If ‘+’ means ‘–’, ‘–’ means ‘×’, ‘×’ means ‘÷’, ‘÷’ means ‘+’, then what will come in place of the question mark...
If '÷' means '+', '+' mean '-', 'x' means '÷' and '-' means 'x', then what will be the value of the given expression:
12 – 6 x 2 + 5 ÷ 9
If ‘+’ means ‘–’, ‘–’ means ‘÷’, ‘÷’ means ‘×’, and ‘×’ means ‘+’, what will come in place of the question mar...
Select the different combination of mathematical signs that can sequentially replace the # sign and balance the given equation.
63 # 9 # 52 # 10 # 4 = 19
In how many different ways can the letters of the word 'COMPUTER' be arranged in such a way that the vowels always come together?
Which among the given operators should replace the “%” (in the same order) in the given expression below:
5 % 10 % 5 % 36 % 15 % 6
Select the correct combination of mathematical signs that can sequentially replace the $ signs and make the equation correct.
252 $ 28 $ 17 $ ...
If A denotes ‘+’, B denotes ‘×’, C denotes ‘−’, and D denotes ‘÷’, then what will come in place of ‘?’ in the following equation...
Himani goes 9m north and turns left and walks 6m. Again, she turns to her right and walks 5m. After this, she takes another right turn and walks 8m. So,...