If the number of all the Software Engineers in the Company-A, Company-C and Company-D is increased by 30%, 35% and 40% respectively, then what will be the overall percentage increase in the number of all Software Engineers in all the five companies taken together?
- AOption (a)
∼ 18%
- BOption (b)
∼ 22%
- COption (c)
∼ 30%
- DOption (d)
∼ 35%
View answer & explanationHide answer & explanation
Correct answer
∼ 22%
Why this answer is correct
Given:
Number of software engineers in different companies.
Engineers increased in Company-A by 30%
Engineers increased in Company-C by 35%
Engineers increased in Company-D by 40%
Formula Used:
Percentage = (Value / Total Value) × 100
Calculation:
Total engineers in Company-A = 150 + 100 + 150 = 400
Engineers increased by 30% in Company-A
⇒ \(\frac{30}{100} \times 400\) = 120
Total engineers in Company-C = 200 + 150 + 350 = 700
Engineers increased by 35% in Company-C
⇒ \(\frac{35}{100}\times 700\) = 245
Total engineers in Company-D = 250 + 250 + 450 = 950
Engineers increased by 40% in Company-D
⇒ \(\frac{45}{100}\times 950\)
Total number of engineers after increment
⇒ 120 + 245 + 950 = 745
Total number of ASEs = 150 + 350 + 200 + 250 + 150
⇒ 1100
Total number of JSEs = 100 + 100 + 150 + 250 + 250
⇒ 850
Total number of SSEs = 150 + 200 + 350 + 450 + 350
⇒ 1500
∴ Total number of engineers in all five companies
⇒ 1100 + 850 + 1500 = 3450
Percentage = \(\frac{745}{3450}\times 100\)
Percentage = 21.59%
Percentage = ~ 22%
∴ Overall percentage increase in the number of all Software Engineers in all the five companies is 22%