MTH302 Assignment Solution # 1
Friday, October 22, 2010 Posted In Mth Edit ThisQuestion 1:
What is the taxable income of employee?
solution:
basic salary = 37000
allowances = 22,000
as we now that allowance is always 50% of the basic salary
so here basic salary is 37000 * 50 / 100 = 18500
and 22000 - 18500 = 3500
here 3500is tax able
Question 2:
If the salary and allowances of an employee is as follows:
Basic salary = Rs. 12,000
House Rent Allowance = 45%
Conveyance Allowance = 5%
Utilities Allowance = 7%
Group Insurance/Medical = 0%
Misc. Social Charges = 5.8%
There are 12 casual, 24 earned and no sick leaves per year where as normal working days per month are 26. Find the Gross remuneration of the employee.
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Solution of q 2:
Basic salary=12000
House rent allowance=45%=45/100=0.45=0.45*12000=5400
Conveyance allowances=5%=5/100=0.05=0.05*12000=600
Utility allowances=7%=7/100=0.07=0.07=0.07*12000=840
Group insurance/Medical=0%=0
Total Allowances=5400+600+840=6840
Gratuity fund=1/11*12000=1090.90
Provident Fund= 1/11*12000= 1090.90
M.s.charge=12000(5.8/100)=696
Gross salary=12000+6840=18840
cost of casual leave per year=12/(26*12)*18840*12=839.04
cost of earned leave per year=24/(26*12)*1840*12=1678.08
Sick leave = 0
Total cost of leaves = 2517.12
Gross Rumen ration = 24234.92
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Question 3:
A trade discount series of 20, 10, and 5 is offered on an item which has a list price of Rs.9100. Find the amount of discount and the net price. http://www.vustudents.net
Solution
TRADE DISCOUNT
Net Price = L* (1 - D)*(1 - D)*(1 - D)
= 9100 *(1- 0.2)*(1-0.1)*(1-0.05)
=9100 *(0.8)*(0.9)*(0.95)
=9100*0.684
=6224.4
DISCOUNT
net price = 9100 - 6224.4
= 2875.6 %
Question 4:
If your goal is to have an amount of 325000 in seven years and you can get interest rate of 9% per annum compounded annually. How much would you need to invest now?
given
n = 7
i = 9 %
F . V = 325000
as we know that
F.V = P.V (1 + i ) ^ n
325000 = P.V (1 + 0.09)^ 7
325000 = P.V ( 1.83)
P . V = 325000
(1.83)
P.V = 177786.13answer
Question 5:
If you start saving Rs. 28,000 at the end of each six month, and you get interest rate 11% (per annum) compounded semi-annually, how much will you have accumulated at the end of 20 years?
solution:
given
n = 20
i = 11%
P . V = 28000
as we know that
F.V = P.V (1 + i ) ^ n
F.V = 28000 (1 + 0.11)^ 20
F.V = 28000 ( 8.06)
F . V = 225744.72
F.V = 225744.72 answer
Question 6:
The price of an item decreased from Rs. 856 to Rs.752. What is the percentage change in price of item?
solution
percentage change in price of item
856 - 752 = 104
1.04%
Question # 7
Suppose you can afford to pay 9,000 per month on a loan. How much can you borrow if the loan is for a period of 15 years and the interest rate is 5% per annum compounded monthly?
solution
given
n = 15
m =12
i = 5%
P . V = 9000
as we know that
F.V = P.V (1 + i /m) ^ n*m
F.V = 9000 (1 + 0.05/12)^ 15*12
F.V = 9000 (1.0041667 )^ 15*12
F.V = 9000 (2.11383 )
F . V = 19024.47
F.V = 192024.47 answer