Assignment # 1
MTH302 (Spring 2012)
Total marks: 20
Lecture # 1 to 8
Due date:19-04-2012
Question No. 1:
If the salary and allowances of an employee are as follows:
Basic Salary =RS: 16,000
House Rent Allowance =45%
Conveyance Allowance =10%
Utilities Allowance =10%
Group Insurance/Medical =0%
Misc. Social Charges =6.5%
There are Casual, Earned (not availed) and no Sick leaves per year where as normal working days per month are . Calculate the Gross Remuneration of the Employee.
Solution:
Basic Salary = 16,000
House Rent Allowance = 16,000 x .45 = 7200
Conveyance Allowance = 16,000 x .10 = 1600
Utilities Allowance = 16,000 x .10 = 1600
Total Allowances = 7200+1600+1600= 10,400
Provident Fund = 16,000 x 1/11 = 1455
Gratuity Fund = 16,000 x 1/11 = 1455
Earned Leave = (26,400 x 12)x{(24/(22x12)} = 28,800
Casual Leave = (26,400 x 12)x{(24/(22x12)} = 14,400
Misc. Social Charges = 16,000 x .065 = 1040
Gross Salary = 16,000+10,400+1455+1455+28,800+14,400+1040=73,550
Question No. 2:
Calculate the discount factor and discounted value when discount rate is 5%, number of periods is 20 and amount of annuity is Rs.20000.
Solution:
Discount Factor = (1-1/(1+i)^n)/i
Discount Factor = (1-1/(1+.05)^20)/.05
Discount Factor = 12.4622
Discounted Value = 20,000 x 12.4622 = 249,244