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Cbm 03: Business Mathematics Question Paper
Cbm 03: Business Mathematics
Course:Certificate In Business Management
Institution: Chuka University question papers
Exam Year:2012
CHUKA
UNIVERSITY
UNIVERSITY EXAMINATIONS
IGEMBE CAMPUS
EXAMINATION FOR THE AWARD OF
CERTIFICATE IN BUSINESS MANAGEMENT
CBM 03: BUSINESS MATHEMATICS
STREAMS: CBM TIME: 2 HOURS
DAY/DATE: THURSDAY 8/8/2012 8.30 AM – 10.30 AM
INSTRUCTIONS:
ANSWER QUESTION ONE AND OTHER THREE
1. (a) Explain the term ratio. [2 Marks]
(b) Naromoro manufacturing ltd employed 20 men who can do a job in 30 days. How
many men will the company require to finish the job in 5 days?
(Hint: Use unitary method and rule of three method) [6 Marks]
(c) Mr. J.B Mwaura borrowed sh. 36,000 which earns an interest of sh. 21,600 in 5
years. Work out the rate of simple interest which Mr. Mwaura was to use to pay the owners money. [3 Marks]
(d) (i) Outline five qualities of a good average. [5 Marks]
(ii) The data below was given by the business management student Chuka
University at Igembe Campus.
Values 5 10 15 20 25 30 35 40 45 50
frequency 20 43 75 67 72 45 39 9 8 6
Calculate the arithmetic mean from above data. [7 Marks]
(e) Mwangi bought a TV set for sh. 7,500 and sold for sh.10, 000. Find out his percentage profit on:
(i) Cost price [1 Mark]
(ii) Selling price [1 Mark]
2. (a) Joyce and Njuguna are partners in a business. Joyce is entitled to a salary of sh.
20,000 p.a profit sharing ratio of Joyce and Njuguna is 3:2 respectively. If the profit for the year 2008 is sh. 80,000. Calculate how much each would receive. [5 Marks]
(b) A German tourist arrived in Kenya with Euros 4,500. He charged all his Euros to Kenyan shilling paying a bank charge of 1%. He 130,000 during his stay in Kenya and changed his remaining cash to Euros again. How many Euros did he receive (hint 1 Euro = Ksh. 97.68) [6 Marks]
(c) Mr. J.M.K a sole trader in Njoune market held the following information on 1st Jan, 2013
(i) Selling price = sh 1500: margin 20%
(ii) Selling price = Sh 3000: margin 25%
Calculate cost price from the information [4 Marks]
3. (a) Outline five considerations which you must observe in preparation of a
questionnaire. [5 Marks]
(b) In Chuka University, three clerks are assigned to process incoming mails. The first clerk, B, processes 40 per cent, the second clerk, B2, processes 35 percent and the third clerk, B3, processes 25 percent of the mail. The first clerk has an error rate of 0.04, the second has an error rate of 0.06 and the third has an error rate of 0.03. A mail selected at random from a day’s output is found to have an error. The post master wishes to know the probability that the mail processed by the first, second or third clerk respectively. [10 Marks]
4. (a) A colour TV set costs sh 27,400 on hire purchase. A customer who pays cash is
given 15% discount on the above price. Joh Mwenge bought such a TV set on hire purchase and paid a down payment of sh 5,650. He paid the balance in 15 equal installments.
(i) How much did he pay per month? [2 Marks]
(ii) How much would he have saved if he had bought the TV set for cash?
[3 Marks]
(b) Calculate the standard deviation form the following data: 192, 288, 236, 229, 184, 260, 348, 291, 330, 242. [10 Marks]
5. (a) M M Kamau has a plan to buy a motor car after 3 years. The motor car is
expected to cost him sh 220,000. He deposits sh 80,000 at the beginning of the first year and sh. 40,000 at the beginning of the second year. Calculate the amount which should be deposited at the beginning of the third year if compound interest is paid at the rate of 10% per annum in order to enable him to buy the motor car. [10 Marks]
(b) (i) The total purchase of Maua ltd for the year ending 31st Dec 2007 were sh
480,000. Maua ltd policy is to charge 20% gross profit on cost. Calculate Maua Ltd turnover for the year ending 31st Dec 2007. [3 Marks]
(ii) Find the present value of Sh 10,000 after three years if the rate of interest is 10%. [2 Marks]
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