Category: Commercial Arithmetic II

Three business partners, Kosgei, Kimani and Atieno contributed Ksh 1 750 000 towards an investment. Kosgei contributed 20% of the money. Kimani and Atieno contributed the remainder in the ratio 3:5 respectively.

22/5/2023

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Three business partners, Kosgei, Kimani and Atieno contributed Ksh 1 750 000 towards an investment. Kosgei contributed 20% of the money. Kimani and Atieno contributed the remainder in the ratio 3:5 respectively.
(a)
(i) Calculate the amount of money Kimani contributed. (2 marks)
(ii) Find the ratio of the contributions by the three partners. (2 marks)

(b) The money earned a compound interest at a rate of 8% per annum. After 3 years, the partners withdrew the interest and donated 10% to a charitable organisation. The partners then shared the remainder in the ratio of their contributions.
Calculate the amount of money, to the nearest shilling, that each partner received. (6 marks)

KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 17

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kcse mathematics question and answer on income tax model13052023002

13/5/2023

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The table below shows income tax rates
Monthly income Tax Rate
(Kshs) (%)
Up to 9680 10
9681 – 18800 15
18801-27920 20
27921-37040 25
37041 and above 30
Omari’s monthly taxable income is Ksh. 24200

a) Calculate the tax charged on Omari’s monthly earnings. (4mks)
b) Omari is entitled to the following tax relief of 15% of the premium paid.
Calculate the tax Omari pays each month if he pays a monthly insurance premium of Ksh. 2400 (2mks)
c) During a certain month, Omari received additional earnings which were taxed at 20% each shilling. Given that he paid 36.3% more tax that month, calculate the percentage increase in his earning. (4mks)

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When Ksh. 60,000 was invested in a certain bank for 8years it earned a simple interest of Ksh. 14,400. Find the amount that must have been invested in the same bank at the same rate for 5years to earn a simple interest of Ksh. 12,000 (3mks)

13/5/2023

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When Ksh. 60,000 was invested in a certain bank for 8years it earned a simple interest of Ksh. 14,400. Find the amount that must have been invested in the same bank at the same rate for 5years to earn a simple interest of Ksh. 12,000 (3mks)

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Kiratu earned a basic salary of Ksh.21000 that month. In addition he got a house allowance of Ksh.12000 and medical allowance of Ksh.3600. He had a life insurance policy for which he paid Ksh.1800p.m. He was entitled to an insurance relief at 15% o

29/4/2023

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ANSWER

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kcse question on income tax model04052023001

10/4/2023

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KCSE QUESTION ON INCOME TAX MODEL04052023001

QUESTION

ANSWER

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Ruth deposited sh20,000 in a fixed deposit account for a period of 1½ years. The bank pays compound interest on quarterly basis. At the end of this period her account had shs46,200. Determine the rate at which interest was paid per annum.

6/4/2023

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question

Ruth deposited sh20,000 in a fixed deposit account for a period of 1½ years. The bank pays compound interest on quarterly basis. At the end of this period her account had shs46,200. Determine the rate at which interest was paid per annum. (3 Marks)

answer

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QUESTION AND ANSWER ON COMMERCIAL ARITHMETIC II MODEL06012023005

5/1/2023

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A Business man is paid a commission of 5% on sales ofgoods worth over ksh 100,000. He is paid a monthly salary of ksh 15,000but 2% of his total earning is remitted as tax. In a certain month hesold goods worthy khs 500,000.

2/1/2023

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QUESTIONS

A Business man is paid a commission of 5% on sales of goods worth over ksh 100,000. He is paid a monthly salary of ksh 15,000 but 2% of his total earning is remitted as tax. In a certain month he sold goods worthy khs 500,000.

a) Calculate his monthly net earnings that month. (5marks)
b) The following month, his monthly salary increased by 20%. His commission was increased to 10% but on goods worth over ksh 200,000. If his total earnings that month was ksh 64,800, Calculate the money received from the sale of goods. (5marks)

aNSWERS

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The average rate of depreciation in value of a laptop is 10% per annum. After three complete years its valuewas ksh 35,000. Determine its value at the start of the three-year period.(3marks)

16/12/2022

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The average rate of depreciation in value of a laptop is 10% per annum. After three complete years its valuewas ksh 35,000. Determine its value at the start of the three-year period.(3marks)

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Mr. Kimutai a teacher from Tuiyotich Secondary School earns K₤ 12000 per annum and lives in a house provided by the employer at a minimum rent of Ksh.2000 per month. He gets a family relief of K₤ 1320p.a. and is entitled to a relief of 10% of his i

30/11/2021

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COMMERCIAL ARITHMETICS II | FORM 3 LEVEL | PAPER 2 QUESTIONS | SECTION B

Mr. Kimutai a teacher from Tuiyotich Secondary School earns K₤ 12000 per annum and lives in a house provided by the employer at a minimum rent of Ksh.2000 per month. He gets a family relief of K₤ 1320p.a. and is entitled to a relief of 10% of his insurance of K₤ 800p.a.

(a) Calculate his annual tax bill based on the table below. (6mks)

(b) Kimutai other deductions include.
- W.C.P.S = sh 600.00pm
- NHIF = sh 500.00pm
Calculate Kimutai’s net salary monthly. (4mks)

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The initial salary of Mr. Lutta is sh. 42, 000 per annum. His salary increases by 13% each year. Determine his total earnings after 15 years. Give your answer to the nearest thousands

26/11/2021

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The initial salary of Mr. Lutta is sh. 42, 000 per annum. His salary increases by 13% each year. Determine his total earnings after 15 years. Give your answer to the nearest thousands. (3mks)

Worked Answer:

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A man invests Ksh.24, 000 in an account which pays 16% interest p.a. the interest is compounded quarterly. Find the amount in the account after 1 and half years.

19/11/2021

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A man invests Ksh.24, 000 in an account which pays 16% interest p.a. the interest is compounded quarterly. Find the amount in the account after 1½ years. (3mks)

Worked Solution

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K.C.S.E Mathematics Q & A - MODEL 2019PP2QN18

24/9/2020

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Form 3 Mathematics

Mbaka bought some plots at Ksh 400,000 each. The value of each plot appreciated at the rate of 10% per annum.
(a) Calculate the value of a plot after 2 years.
(b) After some time t, the value of a plot was Ksh 558,400. Find t, to the nearest month.
(c) Mbaka sold all the plots he had bought after 4 years for Ksh2,928,200.
Find the percentage profit Mbaka made, correct to 2 decimal places.

answers

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K.C.S.E Mathematics Q & A - MODEL 2019PP2QN12

24/9/2020

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Form 3 Mathematics

The table below' shows income tax rates in a certain year.

In that year, mawira earned a salary of 41000 per month. calculate mawira's income tax per month given that a monthly tax relief of ksh 1162 was allowed

answer

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K.C.S.E Mathematics Q & A - MODEL 2005.PP2.QN.19

22/9/2020

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Form 3 Mathematics

Abdi and Amoit were employed at the beginning of the same year. Their annual salaries in shillings progressed as follows:

Abdi: 60,000, 64 800, 69, 600
Amoit 60,000, 64 800, 69 984

(a) Calculate Abdi’s annual salary increment and hence write down an expression for his annual salary in his n^th year of employment( 2 marks)

(b) Calculate Amoit’s annual percentage rate of salary increment and hence write down an expression for her salary in her n^th year of employment. ( 2 marks)

Answer

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K.C.S.E Mathematics Q & A - MODEL 2018PP2QN23

21/9/2020

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Form 3 Mathematics

The table below shows monthly income tax rates for a certain year.

In that year a monthly personal tax relief of Ksh 1 280 was allowed. In a certain month of that year, Sila earned a monthly basic salary of Ksh 52 000, a house allowance of Ksh 7 800 and a commuter allowance of Ksh 5 000.
(a) Calculate:
(i) Sila’s taxable income;
(ii) the net tax payable by Sila in that month;
(b) In July that year, Sila’s basic salary was raised by 4%. Determine Sila’s net salary in July.

answers

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K.C.S.E Mathematics Q & A - MODEL 2005.PP1.QN.15

17/9/2020

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Form 3 Mathematics

A bank either pays simple interest as 5% p.a or compound interest 5% p.a on deposits. Nekesa deposited Kshs P in the bank for two years on simple interest terms. If she had deposited the same amount for two years on compound interest terms, she would have earned Kshs 210 more.

Calculate without using Mathematics Tables, the values of P ( 4 marks)

Answer

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K.C.S.E Mathematics Q & A - MODEL 2017PP2QN17

17/9/2020

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Form 3 Mathematics

The income tax rates of a certain year were as shown in the table below:

In that year, Shaka’s monthly earnings were as follows: Basic salary Ksh 28600
House allowance Ksh 15 000
Medical allowance Ksh 3 200
Transport allowance Ksh 540
Shaka was entitled to a monthly tax relief of Ksh 1056.
(a) Calculate the tax charged on Shaka’s monthly earnings.
(b) Apart from income tax, the following monthly deductions were made; a Health Insurance fund of Ksh 500, Education Insurance of Ksh 1 200 and 2% of his basic salary for widow and children pension scheme. Calculate Shaka’s monthly net income from his employment.

answer

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K.C.S.E Mathematics Q & A - MODEL 2016PP1QN18

14/9/2020

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Form 3 Mathematics

Three business partners: Asha, Nangila and Cherop contributed Ksh 6 000, Ksh 85 000 and Ksh 105 000 respectively. They agreed to put 25% of the profit back into business each year. They also agreed to put aside 40% of the remaining profit to cater for taxes and insurance. The rest of the profit would then be shared among the partners in the ratio of their contributions. At the end
of the first year, the business realised a gross profit of Ksh 225 000.
(a) Calculate the amount of money Cherop received more than Asha at the end of the first year.
(b) Nangila further invested Ksh 25 000 into the business at the beginning of the second year. Given that the gross profit at the end of the second year increased in the ratio10:9 calculate Nangila's share of the profit at the end of the second year.

answers

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K.C.S.E Mathematics Q & A - MODEL 2016PP1QN13

13/9/2020

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Form 1 Mathematics

In this question, mathematical tables should not be used. A Kenyan bank buys and sells foreign currencies as shown below:
Buying Selling
(In Kenya Shillings) (In Kenya Shillings)
1 Hong Kong Dollar 9.74 9.77
1 South African Rand 12.03 12.11
A tourist arrived in Kenya with 105 000 Hong Kong Dollars and changed the whole amount to Kenya Shillings. While in Kenya, she spent Sh 403 879 and
changed the balance to South African Rands before leaving for South Africa. Calculate the amount in South African Rand, that she received,

answer

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K.C.S.E Mathematics Q & A - MODEL 2004.PP1.QN.17

11/9/2020

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Form 3 Mathematics

The table below shows monthly income tax rates for the year 2003

In the year 2003.Ole Sanguya’s monthly earnings were as follows:-

Basic salary Ksh 20600
House allowance ksh 12000
Medical allowance Ksh 2880
Transport allowance Ksh 340.

Ole Sanguya was entitled to a monthly tax relief of Ksh 1056.
Calculate:

a) His monthly taxable income
b) The monthly tax paid by Ole Sanguya.

Answer

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K.C.S.E Mathematics Q & A - MODEL 2015PP2QN17

10/9/2020

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Form 3 Mathematics

In a retail shop, the marked price of a cooker was Ksh 36 000. Wanandi bought the cooker on hire purchase terms. She paid Ksh 6400 as deposit followed by 20 equal monthly installments of Ksh 1750.
(a) Calculate:
(i) The total amount of money she paid for the cooker.
(ii) The extra amount of money she paid above the marked price.
(b) The total amount of money paid on hire purchase terms was calculated at a
Compound interest rate on the marked price for 20 months. Determine the rate, per annum, of the compound interest correct to 1 decimal place.
c) Kaloki borrowed kshs 36000 form a financial institution to purchase a similar cooker. The financial institution charged a compound interest rate equal to the rate in (b) above for 24 months. Calculate the interest kaloki paid correct to the nearest shilling.

answers

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K.C.S.E Mathematics Q & A - MODEL 2014PP2QN19

8/9/2020

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Form 3 Mathematics

The table below shows income tax rates for a certain year.

A tax relief of Ksh 1162 per month was allowed. In a certain month, of that year, an employee's taxable income in the fifth band was Ksh 2108.
(a) Calculate:
(i) the employee's total taxable income in that month;
(ii) the tax payable by the employee in that month.
(b) The employee's income included a house allowance of Ksh 15 000 per month.
The employee contributed 5% of the basic salary to a co-operative society.
Calculate the employees net pay for that month.

answers

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K.C.S.E Mathematics Q & A - MODEL 2014PP2QN12

8/9/2020

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Form 3 Mathematics

Muga bought a plot of land for Ksh 280,000. After 4 years, the value of the plot-was Ksh 495 000. Determine the rate of appreciation, per annum, correct
to one decimal place.

answer

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K.C.S.E Mathematics Q & A - MODEL 2003PP1QN023

4/9/2020

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Form 1 Mathematics

A businessman obtained a loan of sh.450,000 from a bank to buy a matatu valued at the same amount. The bank charges interest at 24% per annum compounded equation. 2x² + x – 5 = 0 to 1 decimal place.

a) Calculate the total amount of money the businessman paid to clear the loan in 1 – ½ years.
b) The average income realized from the matatu per day was sh.1500. The matatu worked for 3 years at an average of 280 days year. Calculate the total income from the matatu.
c) During the three years, the value of the matatu depreciated at the rate of 16% per annum. If the businessman sold the matatu at its new value, calculate the total profit he realized by the end of three years. (3mks)

ANSWER

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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS

Topically Analysed

​When Ksh. 60,000 was invested in a certain bank for 8years it earned a simple interest of Ksh. 14,400. Find the amount that must have been invested in the same bank at the same rate for 5years to earn a simple interest of Ksh. 12,000 (3mks)

ANSWER

​KCSE QUESTION ON INCOME TAX MODEL04052023001

QUESTION

ANSWER

question

answer

QUESTIONS

aNSWERS

The average rate of depreciation in value of a laptop is 10% per annum. After three complete years its valuewas ksh 35,000. Determine its value at the start of the three-year period.(3marks)

COMMERCIAL ARITHMETICS II | FORM 3 LEVEL | PAPER 2 QUESTIONS | SECTION B

​Mr. Kimutai a teacher from Tuiyotich Secondary School earns K₤ 12000 per annum and lives in a house provided by the employer at a minimum rent of Ksh.2000 per month. He gets a family relief of K₤ 1320p.a. and is entitled to a relief of 10% of his insurance of K₤ 800p.a.

​(a) Calculate his annual tax bill based on the table below. (6mks)

​(b) Kimutai other deductions include. - W.C.P.S = sh 600.00pm - NHIF = sh 500.00pm Calculate Kimutai’s net salary monthly. (4mks)

​The initial salary of Mr. Lutta is sh. 42, 000 per annum. His salary increases by 13% each year. Determine his total earnings after 15 years. Give your answer to the nearest thousands. (3mks)

​​Worked Answer:

​A man invests Ksh.24, 000 in an account which pays 16% interest p.a. the interest is compounded quarterly. Find the amount in the account after 1½ years. (3mks)

Worked Solution

Form 3 Mathematics

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Form 3 Mathematics

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Form 3 Mathematics

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Form 3 Mathematics

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Form 3 Mathematics

N.15

Form 3 Mathematics

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Form 3 Mathematics

18

Form 1 Mathematics

13

Form 3 Mathematics

N.17

Form 3 Mathematics

17

Form 3 Mathematics

19

Form 3 Mathematics

12

Form 1 Mathematics

23

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When Ksh. 60,000 was invested in a certain bank for 8years it earned a simple interest of Ksh. 14,400. Find the amount that must have been invested in the same bank at the same rate for 5years to earn a simple interest of Ksh. 12,000 (3mks)

KCSE QUESTION ON INCOME TAX MODEL04052023001

Mr. Kimutai a teacher from Tuiyotich Secondary School earns K₤ 12000 per annum and lives in a house provided by the employer at a minimum rent of Ksh.2000 per month. He gets a family relief of K₤ 1320p.a. and is entitled to a relief of 10% of his insurance of K₤ 800p.a.

(a) Calculate his annual tax bill based on the table below. (6mks)

(b) Kimutai other deductions include.
- W.C.P.S = sh 600.00pm
- NHIF = sh 500.00pm
Calculate Kimutai’s net salary monthly. (4mks)

The initial salary of Mr. Lutta is sh. 42, 000 per annum. His salary increases by 13% each year. Determine his total earnings after 15 years. Give your answer to the nearest thousands. (3mks)

Worked Answer:

A man invests Ksh.24, 000 in an account which pays 16% interest p.a. the interest is compounded quarterly. Find the amount in the account after 1½ years. (3mks)