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Bud Business Mathematics Question Paper

Bud Business Mathematics

Course:Diploma In Business Management

Institution: Kca University question papers

Exam Year:2014

UNIVERSITY EXAMINATIONS: 2013/2014
STAGE I ORDINARY EXAMINATION FOR THE
CERTIFICATE/DIPLOMA IN BUSINESS MANAGEMENT
BUD BUSINESS MATHEMATICS
DATE: AUGUST 2014
TIME: 1 1/2 Hours
INSTRUCTION: Answer any THREE questions
QUESTION ONE: (20 MARKS)
(a)
A salesman has the following record of sales during three months for three items X, Y
and Z which have different rates of commission.
Months
Number of Units sold
Total
X X X Commission
I 9 10 2 80
II 13 5 4 90
III 6 10 3 85
(i) (4 Marks)
(ii)
(b)
Represent this information using linear equations Calculate the out the rates of commission on the items X, Y and Z. (6 Marks)
By use of an example define the following terms a used in calculation of interest
(i) (2 Marks)
(ii) Accrued amount (2 Marks)
(iii)
(c)
Interest per conversion period Conversion period (2 Marks)
Solve the equation 200
85 q 2q 2 using an appropriate method
1
(4 Marks)
QUESTION TWO: (20 MARKS)
(a)
A machine depreciates at the ration of 8% per annum for the first three years and then 6%
per annum for the next four years. If the initial value of the machine is Ksh.4 million use
the reducing balance approach to calculate
(i) (4 Marks)
(ii)
(b)
The depreciated value of the machine after 7 years The average rate of depreciation for the 7 years (6 Marks)
The monthly salaries of Mary and John are in the ratio 3:5. If each receives a salary
increment of Khs.2,000 the salary ratio changes to 13: 21. Find their value of their
salaries be for the increment.
(c)
(5 Marks)
June was allowed a discount of 5.5% for goods worth sh. 4000 and a discount of 4.3% for
goods worth sh. 8,500. What average percentage discount was she allowed for all the
goods?
(5 Marks)
QUESTION THREE: (20 MARKS)
(a)
A shopkeeper borrowed a total of Ksh. 20,000 from two money lenders. For one loan the
shopkeeper paid 14% simple interest while for the other loan he paid 12% simple interest.
After one year he paid interest totaling to Ksh. 2,560. How much did he borrow from
each trader?
(b)
(6 Marks)
How long will a certain amount invested will triple itself at 11% per annum compounded
half yearly?
(6 Marks)
(c) 2
Factorize the expression 10 x 5 x 2 xy
(d) x
x
Solve for x in 64 2
(e) 9
Express 11 as a percentage
y
1
(3 Marks)
(3 Marks)
(2 Marks)
QUESTION FOUR: (20 MARKS)
(a)
Express as a single fraction and in its simplest form
(i)
b 2a
2
b a
3
(3 Marks)
2
1
(ii)
(b)
1
x 1 x 1
(4 Marks)
A Japanese on tour in Kenya converted 780,000 million Japanese Yen to Kenya shillings
for hotelaccommodation and other miscellaneous expenses while in the country. He was
in Kenya for 20days and stayed in a hotel which he was paying sh. 17,000 per day full
board. He also hired a car forwhich he was paying sh. 7000 per day and bought curios
worth sh. 14000. He donated the balanceto a children’s home in Nairobi. Taking 100
Japanese Yen to be equivalent to Ksh. 85.35, calculate:
(i) His total expenditure on accommodation and car hire in Japanese Yen. (5 Marks)
(ii) The amount of money he donated to the children’s home in Kenya shillings.
(3 Marks)
(c)
Solve log(2 x 1) log(3x 4) 1
(5 Marks)
QUESTION FIVE: (20 MARKS)
A group of 50 boys each threw a dart at a dartboard and each measured the distance in
centimeters of the tip of his dart from the center of the board. They recorded the following results
4.4 10.2 5.1 6.4 7.9 5.7 5.1 6.1 6.2 4.7
7.8 6.5 4.1 8.3 5.1 8.3 6.1 1.1 4.8 6.3
5.8 8.1 9.1 7.8 5.8 11.2 8.9 7.1 5.1 12.1
6.1 7.2 0.5 6.5 8.4 3.6 2.8 6.6 7.3 9.2
8.1 4.9 8.0 4.9 9.0 4.3 9.2 8.4 4.2 7.5
Required
(i)
Construct a grouped frequency distribution for these values using classes 0.0-1.9, 2.0-....
(6 Marks)
(ii)
Using the distribution table in (i) above calculate the mean, mode and median length
(14 Marks)
3

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