download free
Mth302 assignments solution idea ,Mth302 assignments idea, Mth302 assignments solution, assignment Idea Mth302, assignment Idea solution
Assignment # 1
Solution 1:
Present Value (loan) P =?
Interest rate/annum i =7%
Interest rate/month i =7/12% =0.005833
Amount R =8450 Rs
Number of years N =17
Number of periods n =17*12 = 204
Using Formula P=R(1-(1+i)-n)/i
Putting Values P=8450(1-(1+0.005833)^-204)/0.005833
P=8450(1-(1.005833)^-204)/0.005833
P=8450(1-0.3053)/0.005833
P=8450(0.6947/0.005833)
P=8450*119.098
P=1006380 Rs
Solution 2:
Basic Salary =30000 Rs
Allowances =18000 Rs
Taxable Income =?
% allowances = (18000/30000)*100
=60%
Allowed non taxable allowance =50%
=0.5*30000
=15000 Rs
So taxable allowances =60%-50%
=18000-15000
=3000 Rs
Hence 3000 Rs of allowances are taxable
Total taxable income =30000-3000
=33000 Rs
Solution 3:
(a)
Absent students =3
Total students =24
% of students absent =?
% of students absent =3/24*100
=12.5%
(b)
%age of students absent =12.5%
Total students =24
How many students are absent =?
How many students are absent =12.5% of 24
=12.5/100*24
=3
(c)
12.5% of class =3 students
Total students enrolled in the class =?
12.5/100* Total students enrolled in the class=3
Total students enrolled in the class =3*100/12.5
=24
Solution 4:
Principle P =?
Interest rate/annum r =25%
Interest rate/month r =25/12% =0.02083
Accumulated Amount A =100,000 Rs
Number of years N =5
Number of periods n =5*12 = 60
Compound interest =?
Using Formula
A=P(1+r)^n
100000 =P(1+0.02083)^60
100000 =P(1.02083)^60
100000 =P(3.445)
P=100000/3.445
P=29027.6 Rs
Compound interest =100000-29027.6
Solution 5:
=70972.4 Rs
Total payment P =150000 Rs
Withdrawal after each 3 month R =6000 Rs
Interest rate/annum i =12%
Interest rate/quarterly i =12/4% =0.03
Number of withdrawal n =?
Using Formula
P=R(1-(1+i)^-n)/i
Putting Values
150000=6000(1-(1+0.03)^-n/0.03
150000=6000(1-(1.03)^-n/0.03
150000*0.03/6000=1-(1.03)^-n
0.75=1-(1.03)^-n
(1.03)^-n=1-0.75
(1.03)^-n=0.25
Taking Log
Log(1.03)^-n=log0.25
-n log 1.03= -0.60205999
n(0.01283722)= 0.60205999
As
n = 0.60205999/0.01283722
n = 46.899
Number of withdrawal n = 47
