Questions:
Please,Mathematicians and Economists try to solve these questions.
Please,Mathematicians and Economists try to solve these questions.
Some of the Questions
that are found in the Procuc System book
Qn
.1
The payment made per
day for a certain amount of money deposited in a bank account of Mr.Onyango by
Mr.Mwaipaja as a result of poculization is Tshs. 2600/= for a nine month
proeperio. The amount paid by Mr. Onyango per day persuaded Mr Tewele and
Mr.Ngowi to deposit in the bank Tshs. 700,000/= and Tshs. 800,000/=
respectively for the purpose of poculization at the same Poculization
Agreement. Procuc Operator Financial Capital, Electronic Fiscal Device Reading,
Customer’s Financial capital Percentage per Day, Customer’s Financial income
Percentage, Customer’s Financial gain Percentage Aid and Exceeding Days per
proeperio are Tshs. 3,000,000/=, Tshs. 10,834,000/=, 0.52%, 5%, 45.4% and
four(4) respectively. In accordance with the Revenue Authority, where turnover
exceeds Tshs.3,000,000/= but does not exceed Tshs.7,000,000/= and where
turnover exceeds Tshs.7,000,000/= but does not exceed Tshs. 14,000,000/= Net
Taxes payable are Tshs. 95,000/= and Tshs. 291,000/= respectively. Use this
information to answer the following questions:
a) Calculate
the Gross Financial Gain of Mr.
i)
Mwaipaja
ii)
Tewele
iii)
Ngowi
b) Find
the Gross Financial Gain of Mr. Onyango
i)
Obtained as a customer due to his
financial capital
ii)
Due to his financial capital as profit
c) (i)
Give the Total Gross Financial Gain of Mr.Onyango
(ii)
Give the Grand Total Gross Financial Gain of Mr.Onyango
d) Calculate
the :
i)
Procuc Operator Rough Turnover
ii)
Procuc Operator Actual Turnover
iii)
Procuc Operator Rough Net Income
iv)
Procuc Operator Actual Net Income
Qn.2
Mr.
Kikando deposited Tshs. 500,000/= in Mr. Alexander’s bank account for the
purpose of Poculization for the ninemonth proeperio. The Customer’s Financial
income per Day, Customer’s Financial gain Percentage Aid, Customer’s Gross
Financial Gain percentage, Pocu Gross Financial Gain and Exceeding days are
Tshs.2600/=, 45.5%, 47.48%, Tshs.487,400/= and four respectively. Mr. Alexander
prepared the Selling Price Table below in order to choose the best selling
price which does not bring unwarranted nuisance in terms of change at each
Commodity Flow Figure.
n

CFF

FSP
in Tshs

SSP
in Tshs

PCSS

5

0.03125

515,200

515,210

2

4

0.0625

530,460

530,500

2

3

0.125

560,900

560,930

2

2

0.25

621,850

621,900

2

1

0.5

743,700

743,700

2

0

1

987,400

987,400

1

Use
the details above to answer the following questions:
(a) Graphically
determine the POCU percentage by;
(i)
Probu method
(ii)
Computable Cuncialtag method
(iii)
Proficug method
(iv)
Cocuncialhalf method
(v)
Pogronancialhalf method
(b) Graphically determine the buying price of the
cost object by Pocufigaper method.
Qn.3
An amount of money worth Tshs.500,000/= was
deposited in the bank account of Mr. Joseph Richard by Mr. Josephat C. Njige
for running Procuc at %CFPD and %CFPA of 0.52% and 45.4% respectively. The
Poculization Agrement between Mr. Joseph Richard and Mr. Josephat C. Njige
ceased to exist in 274 days. Calculate the percentage that determined the cost
objects selling price and Gross Financial Gain of Mr. Joseph Richard and Mr.
Josephat C. Njige.
Qn.4
In order to meet financial exigency, Mr, Malulu
deposited Tshs.500,000/= as contribution to Procuc in the bank account of Dr.
Msimu on 28^{th} October, 2011. The Poculization Agreement was for a
ninemonth proeperio, starting on 1^{st} November, 2011 to 1^{st}
August, 2012 at 0.52% as %CFPD and 5% as %CFP. Unfortunately, Mr.Malulu’s
daughter called Neema got sick. The horrendous situation of Neema’s health
necessitated the earliest withdrawal of capital from Procuc. Mr.Malulu decided
to withdraw his financial capital from Procuc on 1^{st} January, 2012
due to the fact that he was terribly sad about his daughter’s horrific
condition. The withdrawn amount allowed Neema to be on medication. Use this
information to answer the following questions.
(a) Calculate Mr. Malulu’s
(i) Gross Financial income
(ii) Financial capital Loss
(iii) Financial capital percentage Loss
(iv) Remained Approximated percentage figure
(b)
Use the following formula to calculate
Mr. Malulu’s Indemnity.
CI=CGF/d + d (RA × CGF)
Given that, d=12
Where CI, CGF, d and RA stand for
Customer’s Indemnity, Customer’s Gross Financial income, flomarcosh fixed value
and Remained Approximated percentage figure respectively.
(c)
Calculate the Indemnity percentage of
Mr. Malulu.
(d) The
product of Cuinde and 100, gives %CI.
Mathematically, it is expressed as:
%CI = Ci ×100. Using this equation, show that,
CI=(%CI × CGF)/(100%CI)
where %CI and Ci stand for Customer’s
Indemnity percentage and Cuinde respectively
(e)
Show how the following formula is derived:
%CI = 100(1 + (d^{2 }× RA))/( d +
(d^{2 }× RA) +1)
where =
stands for is not equal to
Qn.5
Mr. Migilimo deposited a certain amount of money in Mr. Marco’s bank account as the Principal for poculization in Procuc System for a nine monthproeperio (from November2011 to July2012). He also found Mr. Punguja at the bank depositing the amount of Tshs.300,000/= in Mr. Marco’s account for the same purpose. The Gross Financial Gain percentage of Mr. Migilimo is 47.48% and the Exceeding Days per proeperio were four. By referring to these details, answer the questions that follow.
(a)
Who
(i)
is a Procuc Operator?
(ii)
are Customers?
(b)
(i) How many days were spent up to
Proeperio date?
(ii) Give the difference between the days
which were spent up to Proeperio date
and the exceeding days.
(iii) Determine the exceeding days spent
up to Proeperio date.
(c)
Calculate:
(i)
the amount deposited by Mr. Migilimo in
the bank account, given that, Gross Financial Gain and Financial income per Day
of Mr. Migilimo is Tshs.237,400/= and Tshs.2,600/= respectively. Note that his
Financial gain Percentage Aid is 45.4%
(ii)
the Financial capital Percentage per Day
of Mr. Punguja and Mr. Migilimo
(iii)
the Financial income Percentage of Mr.
Punguja and Mr. Migilimo
(d)
What will be the:
(i)
Gross Financial income of Mr.Migilimo
after the stipulated period?
(ii)
Monthly pay of Mr. Migilimo?
(iii)
Monthly pay of Mr.Punguja?
(iv)
Financial capital Withdrawn Amount of
Mr.Punguja?
(v)
Financial capital Withdrawn Amount of
Mr. Migilimo?
(e)
How much will Mr.Punguja get as his
(i)
Gross Financial Gain?
(ii)
Gross Financial income?
(f) Who
will be economically ahead among the two? If so, why?
Qn.6
Emmanuel J. Mwininga
deposited Tshs.500,000/= in the Bank account of George Peter Balole as
contribution to Procuc at 0.52% as % CFPD. Tshs 2,600/= as CFD enthusiastically
enticed Emmanuel J. Mwininga away from other Procuc Operators. Use this information
to answer each of the following questions:
a) Who
is
(i)
a creditor
(ii)
a debtor?
b) Give
the synonym of creditor and debtor as far as Procuc System is concerned.
c) Complete
the table below by filling in the Customer’s Financial Payment (CFP) at each
given CFT.
TND

y

ITND

CFT

CFP

8.6

2

7

1Week


17.2

3

14

2weeks


34.25

4

30

1
Month


68.5

9

60

2
months


137

17

120

4
Months


274

4

270

9Months

d) Show
that, the Exceeding Days of 34.25, 68.5 and 137 days are 4, 9 and 17 days
respectively.
Qn 7
Three
Procuc Operators, namely, John Daudi, Dickson Charles and Flora Peter Marco
were using different Customer’s Financial capital Percentage per Day as
poculization rate. Mwajuma Hamis deposited Tshs.500,000/=, Tshs.300,000/= and
Tshs.200,000/= in the bank accout of John Daudi, Dickson Charles and Flora
Peter Marco respectively for poculization purpose. Kisoka and Mtawa Amos
decided to deposit their money in the bank account of Procuc Operators for the
same purpose. Kisoka deposited Tshs.450,000/=, Tshs.500,000/= and Tshs.800,000/=
in the bank account of Dickson Charles, Flora Peter Marco and John Daudi
respectively. Mtawa Amos deposited Tshs.1,000,000/=, Tshs.300,000/= and
Tshs.400,000/= in the bank account of Flora Peter Marco, John Daudi and Dickson
Charles respectively. 5%, 4% and 6% are the %CFP which were used for
poculization by John Daudi, Dickson Charles and Flora Peter Marco respectively.
Poculization Agreement ceased to exist in 274days. Mtawa Amos obtained his
Gross Financial income of Tshs.384,900/=, Tshs.1,375,200/= and Tshs.564,000/=
from John Daudi, Flora Peter Marco and Dickson Charles respectively.
Tshs.687,600/=, Tshs.634,500/= and Tshs.1,026,400/= were obtained by Kisoka as
his Gross Financial income from Flora Peter Marco, Dickson Charles and John Daudi
respectively. Mwajuma Hamis obtained Tshs.423,000/=, Tshs.641,500/= and
Tshs.275,040/= as her Gross Financial
income from Dickson Charles, John Daudi and Flora Peter Marco respectively. Use
this information to attempt the following questions:
a. Find
the Customer’s Financial capital Percentage per Day which was used for
conducting poculization for each Procuc Operator
b. Determine
i.
%CFPA for each Procuc Operator
ii.
The exceeding days per proeperio
c. Calculate
the Net Income of
i.
Mwajuma Hamis
ii.
Kisoka
iii.
Mtawa Amos
Given that, MP =
2.95%, where MP stands for Mutable Percentage.
d. Calculate
the Mutable Amount (MA) of Procuc System Team.
Qn. 8
(a)
Show
that,
b = log_{10}[(1+TP)
 %CFPD× TND) + %CFP]
(b)
Given
that, TP = 57%, %CFPD = 0.52%, TND = 274 days and %CFP = 5%
(i)
Give
the actual value of 10^{b }
(ii)
Prove
that, log_{10}[(1+TP)  %CFPD× TND) + %CFP] = 0.978636948%
Where, TP stands
for Tiocalization Percentage
%CFPD stands for Customer’s Financial capital Percentage per Day
TND stands for Total Number of Days
%CFP stands for Customer’s Financial income Percentage
b stands for tiocalization exponent
Qn.9
Given that,
log_{10}2=0.301029995,
k^{ℓ}
=0.602059991,
xlog_{10}2= log_{10}y and mlog_{10}2=
log_{10}yk^{ℓ},
where m=1.169925001.Use the given information above to answer the following
items.
(a) Find
the value of x
(b) Find
the value of log_{10}9 without using tables or calculators and correct
the answer to 4 decimal places.
(c) Find
the value of log_{10}4096 without using tables or calculators and
correct the answer to 4 decimal places.
Qn.10
(a). Given that, log_{10}2=0.301029995, 2=10^{y
}and 2m =10^{y} k^{antiℓ
}
(i). If m = 498, what will be the
value of x ?
(ii). Prove that, 10^{y}=1000^{
}
(iii).Find the value of k^{antiℓ}
(b) Find the value of k^{ℓ}, given that, k^{ℓ}=2
log_{10}2
(c).Without using tables or calculators, prove
that log_{10}3 = 0.4771,
where, m = 0.41503737499.
Qn. 11
Given
that,
log_{10}2=0.301029995,
k^{ℓ} =0.602059991,
k^{v}
=3.612359948,
xlog_{10}2= log_{10}y and mlog_{10}2=
log_{10}yk^{v},
where m= 9.192645078.Use the given information above to answer the following
items.
( a) Find
the value of x
(b) Find
the value of log_{10}7 without using tables or calculators and correct
the answer to 4 decimal places.
Qn.12
(a).
Given that, log_{10}2=0.301029995, k^{antiℓ }=4, k^{antiv}
= 34,
2=10^{y
}and 2m =10^{y} k^{antiv
}
(i). If m = 14, what will be the
value of x?
(ii). Prove that, y= log_{10}6
(b).
Find the value of y without using tables or calculators, where, m=18.4150375,
k^{ℓ} =0.602059991and
k^{v}=6.321629909.
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