Thread: Help pleeez

a techno startup company employs 220 people in total. The company has 5% of staff in HR, a sales and marketing staff which is 30% of the head count and the remainder in R&D. The R&D consists of chemists and biologists. The number of biologists are 21 more than the number of chemists.

What is the number of biologists in the company?


Due to a new round of venture capital funding the company increases the total head count by 50%. The R&D now represents 80% of the head count and there was no change in the HR staff. What percentage of the company is the sales and marketing?


One year later the company decides to have a head count reduction of 30%. R&D and sales and marketing department were affected by the reuction. R&D lost 61 people more than sales and marketing. After the reduction what percentage of employees are in the R&D?

0.05*220=HR
0.3*220=S&M
(1-0.3-0.05)*220=R&D
Solve for R&D
R&D=2*BIO-21
Solve for BIO

Next part
New HC= Old HC*1.5
etc.

a techno startup company employs 220 people in total. The company has 5% of staff in HR, a sales and marketing staff which is 30% of the head count and the remainder in R&D. The R&D consists of chemists and biologists. The number of biologists are 21 more than the number of chemists.

Total employees = 220
HR = 5% of 220 = (0.05)(220) = 11
S&M = 30% of 220 = (0.30)(220) = 66
R&D = 220 -(11 +66) = 220 -77 = 143

Chem +Bio = 143 ---(1)
Bio = Chem +21 ---(2)

What is the number of biologists in the company?

Substitute (2) into (1),
Chem +(Chem +21) = 143
2Chem = 143 -21 = 122
Chem = 122/2 = 61
Hence,
Bio = 143 -61 = 82 -------answer.

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Due to a new round of venture capital funding the company increases the total head count by 50%. The R&D now represents 80% of the head count and there was no change in the HR staff. What percentage of the company is the sales and marketing?

New total employees = 220 plus 50% of 220 = (1.50)(220) = 330
R&D = 80% of 330 = (0.80)(330) = 264
HR = still 11
S&M = ?
S&M = 330 -(264 +11) = 330 -275 = 55
55/330 = 0.16667 = 16.67% or, say, 17%
That means S&M are 17% of the employees ---------answer.

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One year later the company decides to have a head count reduction of 30%. R&D and sales and marketing department were affected by the reuction. R&D lost 61 people more than sales and marketing. After the reduction what percentage of employees are in the R&D?

Total reduction = 30% 0f 330 = (0.30)(330) = 99
R&D and S&M lost 99 altogether ---(3)
R&D lost (S&M +61) ----(4)

So, substitute (4) into (3),
(S&M +61) +S&M lost 99
2S&M lost 99 -61 = 38
S&M lost (38/2) = 19
Hence, R&D lost (19 +61) = 80

After reduction:
Newer total employees = 330 -99 = 231
R&D = 264 -80 = 184
184/231 = 0.7965 = 79.65% or, say, 80%
That means R&D still has 80% of the employees. --------answer.