generis wrote:
Half of Metroburg's operating budget comes from a payroll tax of 2 percent on salaries paid to people who work in the city. Recently a financial services company, one of Metroburg's largest private-sector employers, announced that it will be relocating just outside the city. All the company's employees, amounting to 1 percent of all people now employed in Metroburg, will be employed at the new location.
From the information given, which of the following can most properly be concluded?
A) Unless other employers add a substantial number of jobs in Metroburg, the company's relocation is likely to result in a 1 percent reduction in the revenue for the city's operating budget.
B) Although the company's relocation will have a negative effect on the city's tax revenue, the company's departure will not lead to any increase in the unemployment rate among city residents.
C) One of the benefits that the company will realize from its relocation is a reduction in the taxes paid by itself and its employees.
D) Revenue from the payroll tax will decline by 1 percent if there is no increase in jobs within the city to compensate, fully or partially, for the company's departure.
E) The company's relocation will tend to increase the proportion of jobs in Metroburg that are in the public sector, unless it results in a contraction of the public-sector payroll.
CR08540.02
F1:Half of the OB of M comes from payroll tax of 2% of the salaries paid to the employees.
F2: Recently a private company decided to shift outside the city M.
Total no of employees in the private company = 1% of total employees in M.
A) Unless other employers add a substantial number of jobs in Metroburg,
the company's relocation is likely to result in a 1 percent reduction in the revenue for the city's operating budget.
We don't know the total no of employees in M, neither do we know that how much each employee earn in M.
so we can't say anything on the % reduction in the operating budget.
Suppose there are 1000 employees in M and each is earning 10000 usd.
Payroll tax / employee = 200
=> Revenue by payroll tax = 200000<---- This is half of total operating budget
=> Total operating budget = 400000.
Now, 1% (10 people) left M. (Relocated)
=>Reduction in revenue = 2000 (200*10)
Loss% = (2000/400000)*100= 0.5%
So even if all employees were getting equal pay, the % reduction was likely to be .5% not 1%.
B) Although the company's relocation will have a negative effect on the city's tax revenue, the company's departure will not lead to any increase in the unemployment rate among city residents.
Can't infer anything about unemployement rate in M from the given facts.
C) One of the benefits that the company will realize from its relocation is a reduction in the taxes paid by itself and its employees.
We don't know if the company is paying any taxes outside M. May be they are paying more taxes outside M.
D) Revenue from the payroll tax will decline by 1 percent if there is no increase in jobs within the city to compensate, fully or partially, for the company's departure.
Similar to the reasoning given for option A. We can't say that decline will be of 1% for sure.
E) The company's relocation will tend to increase the proportion of jobs in Metroburg that are in the public sector, unless it results in a contraction of the public-sector payroll.
Correct.
As per the sample taken in A, Let's say there were only 10 people out of 1000 in private sector and they all left M.
=> 990 employees remained in M and they all were working in Pubic sector.
=> Even though the no of public sector employees remained same, the proportion of public sector employees increased from 99% to 100%.
=> The proportion of public sector jobs was increased.
We can take any sample and any ratio of Private/Public jobs, if private jobs got reduced then the probability of finding a public job is increased.
This is true if the reduction of 10 employees is not affecting the payroll tax of public sector employees.
If reduction of 10 employees is somehow increasing the payroll tax of public sector employees then it's likely that there may be a reduction in public sector jobs.
Hence this is true.