Company B needs to hire 30 new employees. Ten percent (10%) of applicants do not meet the basic business requirements for the job. 12% of the remaining applicants do not pass the pre-screening assessment, 23% of those remaining applicants do not show up for the interview, and 5% of those applicants fail the background investigation. How many applicants need to apply in order to meet the hiring target? Multiply choice 30 45 50 52 60
The Correct Answer and Explanation is:
To find out how many applicants need to apply for Company B to successfully hire 30 new employees, we need to work backward through the percentages of applicants who are filtered out at each stage.
Step-by-step breakdown:
Let x be the number of applicants needed to start with.
1. 10% do not meet the basic business requirements, so:
- 90% of x remain:
0.90×0.90x
2. 12% of those remaining fail the pre-screening assessment, so:
- 88% of the 90% remain:
0.88×0.90x=0.792×0.88 \times 0.90x = 0.792x
3. 23% of those remaining do not show up for the interview, so:
- 77% of the 79.2% remain:
0.77×0.792x=0.6108×0.77 \times 0.792x = 0.6108x
4. 5% of those remaining fail the background check, so:
- 95% of the 61.08% remain:
0.95×0.6108x=0.58026×0.95 \times 0.6108x = 0.58026x
We want this final group to equal 30 hired employees: 0.58026x=300.58026x = 30
Now solve for xx: x=300.58026≈51.7x = \frac{30}{0.58026} \approx 51.7
Final Answer:
Since you can’t have a fraction of an applicant, round up to the nearest whole number: 52\boxed{52}
This matches the multiple-choice answer: