Financial Mathematics: Percentage Conversion and Interest Calculation

This finance assignment includes detailed solutions to problems involving percentage conversions (decimal to percent and fraction to percent), simple interest calculations, and markup calculations. It covers converting decimals and fractions to percentages, converting percentages to decimals, and solving practical problems involving cost price, selling price, and markup percentages. The assignment further explores simple interest calculations, including finding the amount after a certain period and the interest earned. Additionally, break-even point calculations are addressed, providing a comprehensive overview of fundamental financial concepts. Desklib provides solved assignments and past papers for students.

Section A
Q1
a)3.72= 372
100 =372 %
b) 88.12
100 =88.12%
c) 0.125
100 =0.125%
d) 656.3
100 =656.3%
e) 789
100=789%
Q2
a) 3
7 ¿ percent =3
7 ∗100 %
=42.85%= 4285
100
b) 6
20 =30 %
c)1 3
5 = 8
5
=1.6=160%
d) 1
9 =11.11 %
e) 28
3 =9.33=933 %
Q3
a)54%=0.54
b)2.38%=0.0238
c)0.00065
d)68 1
4 %= 273
4 %=68.25 %
=0.6825
e)2.89%=0.0289
Q4

a)35%= 7
20
b)15.22%= 761
50 =15 11
50
c)156%=1 14
25
d)3%= 3
100
e)45%= 9
20
Q5)
a) y=3x+2, x=5
=y=5*3+2
=17
b) x= 2 p2−3 p +6 , p=−2
=20
c) y=7x-5, y=2.73
x=1.104
d) y=x −5 x2 +3 , x=2.304
y=-21.23
e) x=y-3x, y=5
x=5-3x
x= 5
4
=1.25
Section A
Q1)
a)
i) cost price =5000
Mark up based on cost price= selling price−cost price
cost price x100
Let selling price be X
X−5000
5000 =.2

X-5000=1000
X=6000RM
ii) mark up based on retail price= selling price−cost price
selling price x100
= X−5000
X =0.2
X-5000=.2X
.8X=5000
X=6250RM
b)
90 shirts at RM20
10% shirts at RM15
That is 9 shirts at RM15
9x15=135
Remaining 85 shirts sold at RM20
81x20=1620RM
X−1620
1620 x 100=75
X=2835
Y −135
135 x 100=75
Y=236.25
Total = X+Y
= 2835+236.25
=RM3071.25RM
Q2)
a)
Let X is the amount invested at 10% annum and 10000-X is the amount invested 7%
A=P(1+rt)
A = simple interested amount

P= principal amount
r= interest rate in decimals
t= number of years
Total amount after 1 years= 10820
10820 = X (1+.1x1) + (10000-X)(1+.07x1)
10820 = 1.1X + 10700 - 1.07X
10820 =0.03X + 10700
0.03X = 10820 - 10700
X = 4000RM
Amount deposited at 10% is 4000RM and amount deposited at 7% is 10000-4000=6000RM
b)
i)
A=P(1+rt)
A = simple interested amount
P= principal amount
r= interest rate in decimals
t= number of years
P =500 ,r=.12, t=1
A =500 x (1+.12x1)
= 560
Interest for 1 year =560 -500
=60RM
ii)
P=500 r= 0.12 t=5
Amount after 5 years= A=P (1+rt)
A = simple interested amount
P= principal amount
r= interest rate in decimals
t= number of years
A= 500 x (1+.12x5)

=800RM
Interest for 5 years = amount after 5 years – principal amount
=800-500
= 300RM
Q3)
Markdown percent on tv set is 10%
Retail price is RM 900
Let old selling price = X
old selling price−new selling price
old selling price = mark down
X−900
X =0.1
X-900 = 0.1X
0.9 X = 900
X=1000
WORKSHEET 2
Q1
a)
A=P(1+rt)
A = simple interested amount
P= principal amount
r= interest rate in decimals
t= number of years
P= 800RM r=0.06 t=1
Amount after 1year = 800x(1+0.06x1)
= 848RM
Amount of interest = amount after 1 year- principal amount
= 848-800
= 48 RM
b)

A=P(1+rt)
A = simple interested amount
P= principal amount
r= interest rate in decimals
t= number of years
P= 1500RM t=6 r=0.11
Amount after 6 years = 1500 x (1+0.11x6)
= 2490RM
Amount of interest= Amount after 6 years- principal amount
= 2490-1500
= 990RM
c)
A=P(1+rt)
A = simple interested amount
P= principal amount
r= interest rate in decimals
t= number of years
P=2000 r=0.14 t=7
Amount after 7 years = 2000(1+0.14x7)
=3960RM
Amount of interest = Amount after 7 years –principal amount
=3960-2000
= 1960RM
Q2)
A=P(1+rt)
A = simple interested amount
P = principal amount
r= interest rate in decimals
t= number of years
Total amount to repaid= 4000x(1+0.1x4)
=5600RM

Amount of interest repayable = total amount to paid – principal amount
= 5600-4000
= 1600RM
There fore
a) =1600RM
b) =5600RM
Q3
A=P(1+rt)
A = simple interested amount
P= principal amount
r= interest rate in decimals
t= number of years
P= 5000 t=3 A=6125 r=?
6125=5000(1+3xr)
1.225=1+3r
.225=3r
r=0.075
R=7.5%
WORKSHEET 3
Q1
a) A= P(1+ r
n )
nt
A = Compound interested amount
P = principal amount
r = interest rate in decimals
t = number of years
n = number of times compounding per year
P= 1000 r=0.07 n=1 t=8
A= 1000(1+ .07
1 )
8 x1

= 1718.186RM
b) A= P(1+ r
n )
nt
A = Compound interested amount
P = principal amount
r = interest rate in decimals
t = number of years
n = number of times compounding per year
P=2500 r=0.09 n=2 t=10
A=2500(1+ 0.09
2 )
2∗10
=6029.28RM
c) A= P(1+ r
n )
nt
A = Compound interested amount
P = principal amount
r = interest rate in decimals
t = number of years
n = number of times compounding per year
P=42000 n=4 r=0.0775 t=8
A=42000(1+ 0.0775
4 )
4∗8
=57094.32RM
d) A= P(1+ r
n )
nt
A = Compound interested amount
P = principal amount
r = interest rate in decimals
t = number of years
n = number of times compounding per year
P=180000 r=0.09 n=12 t=6.25
A= 180000(1+ 0.09
12 )
12∗6.25
=315247.47RM
e) A= P(1+ r
n )
nt
A = Compound interested amount
P = principal amount
r = interest rate in decimals
t = number of years
n = number of times compounding per year
P=150000 r=0.12 n=365 t=3

A=150000 (1+ 0.12
365 )
365∗3
=214986.6921RM
Q2
A=P(1+ r
n )
nt
A = Compound interested amount
P = principal amount
r = interest rate in decimals
t = number of years
n = number of times compounding per year
A=3500 P=2000 n=2 t=5 r=?
3500 = 2000(1+ r
2 )
2∗5
1.0575= r
2 +1
r=.115
r=11.5%
WORKSHEET 4
Q1) selling price per unit=20
Variable cost per unit= 10
Contribution margin= Selling price per unit-variable cost per unit
=20-10
=10
Q2) Variable cost per unit 18
Fixed cost =RM 20000
Revenue per unit =RM35
Break even point = ¿ cost
revenue per unit−variable cost
= 20000
35−18
=RM1176.4705