KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
 COMMERCIAL ARITHMETIC  FORM 3 LEVEL  SECTION II  PAPER 1  ALT B  KCSE 2011  QUESTION 19 Three partners, Amani, Furaha and Nehema, contributed a total capital of Ksh 750 000 to start a business. Amani contributed 1/3 of the money, Furaha contributed 2/5 of the money and Nehema contributed the rest.
After some time the business realised a profit of 36% of the capital. The profit was taxed at the rate of 5%. After taxation, each of the partners received Ksh 20 000 of the profit. The remainder of the profit was shared among the three partners in the ratio of their contributions. Calculate:
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 COMMERCIAL ARITHMETIC  FORM 3 LEVEL  SECTION II  PAPER 1  ALT B  KCSE 2011  QUESTION 17 A salesman was paid a basic salary of Ksh 48 000 per month plus a commission of 3% for sales of goods worth above Ksh 500 000.
ALT B  COMMERCIAL ARITHMETIC II   FORM 3 LEVEL  SECTION ii  PAPER 2  KCSE 2010  QUESTION 17A shop sells a certain type of fridge at a cash price of Ksh 80 000. If the fridge is bought on Hire Purchase (H.P), a deposit of Ksh 24 000 is paid. A customer is also charged 15% per annum simple interest on the balance of the cash price after deposit is paid. Khamala bought one such fridge on H.P. He paid the balance plus the interest in 5 equal monthly instalments.
ALT B  COMMERCIAL ARITHMETIC II   FORM 3 LEVEL  SECTION 1  PAPER 2  KCSE 2010  QUESTION 15A building was valued at Ksh 720 000 on 1st January 2007. The value of the building appreciated at 2% per annum in the first year. The value of the building then depreciated at the rate of 5% for the next 2 years. Calculate the value of the building at the end of year 2009. (3 marks)
COMMERCIAL ARITHMETIC II  QUESTION 21  KCSE 1996  FORM 3 LEVEL  SECTION BKubai saved Kshs 2,000 during the first year of employment. In each subsequent year, he saved 15% more than the preceding year until he retired.
QUESTION 18  KCSE 2023  COMMERCIAL ARITHMETIC II  PAPER 2  FORM 3 LEVELA welfare group invested Ksh 75 000 in shares and another Ksh 75 000 in a piece of land for a period of 5 years. The shares appreciated in value at a rate of 6% per annum (p.a) for a period of 3 years. In the remaining period of 2 years, the shares appreciated in value at a rate of 4.5% every 6 months. During the 5 years, the piece of land appreciated in value at a constant annual rate. At the end of the 5th year, the values of the two investments were equal.
QUESTION 10  KCSE 2023  COMMERCIAL ARITHMETIC II  PAPER 2  FORM 3 LEVELThe following table shows monthly income tax rates of a certain year. In that year, a monthly relief of Ksh 2 400 was allowed. The net tax on Lesianto's monthly income was Ksh 1 500.
Calculate Lesianto's monthly income. (3 marks) QUESTION 20  KCSE 2023  Commercial arithmetic II  PAPER 1  FORM 3 LEVELNeema went to the market to buy bananas worth Ksh 2 100 for a school. The seller offered a discount of Ksh 3 per banana which enabled Neema to buy 35 more bananas.
QUESTION 10  KCSE 2023  COMMERCIAL ARITHMETIC II  PAPER 1  FORM 3 LEVELA salesman sells story books and textbooks. The cost price of a story book is sh 600 while that of a textbook is sh 900. The salesman is paid a commission of 10% on the cost of any book sold. One day, the salesman sold twice as many story books as textbooks. He earned a commission of sh 8 400.
Determine the total number of story books sold. (3 marks) QUESTION 20  KCSE 2021  COMMERCIAL ARITHMETIC II  PAPER 2  FORM 3 LEVELThe table below shows income tax rates in a certain year. In the year, the monthly earnings of Kanini were as follows: Basic salary House allowance Ksh 64 500 Ksh 12 000 Kanini contributes 7.5% of her basic salary to a pension scheme. This contribution is exempted from taxation. She is entitled to a personal tax relief of Ksh 1 408 per month. Calculate:
QUESTION 8  KCSE 2021  COMMERCIAL ARITHMETICS II  PAPER 2  FORM 3 LEVELThe cash price of a gas cooker is Ksh 20 000. A customer bought the cooker on hire purchase terms by paying a deposit of Ksh 10 000 followed by 18 equal monthly instalments of Ksh 900 each. Annual interest, compounded quarterly, was charged on the balance for the period of 18 months. Determine, correct to 1 decimal place, the rate of interest per annum. (4 marks)
QUESTION 8  KCSE 2021  Commercial Arithmetics II  PAPER 1  FORM 3 LEVELA table is sold at Ksh 4 500 and a chair at Ksh 2 000. A salesman earns a commission of 8% on every table and 5% on every chair sold. On a certain week, he sold 3 more chairs than tables and his total earnings were Ksh 3 980.
Determine the number of chairs he sold that week. (3 marks) QUESTION 21  KCSE 2022  COMMERCIAL ARITHMETIC II  PAPER 2  FORM 3 LEVEL(a) Juma bought a house 4 years ago for Ksh 2500000. The value of the house rose steadily over 4 years to its current value of Ksh 3 700000. Calculate, correct to 2 decimal places, the annual rate of appreciation in the value of the house. (3 marks) (b) At the time Juma bought the house in 21(a), Tony also bought a car valued at Ksh 5 100000. The value of the car depreciated steadily at a rate of 2% every 4 months. Determine correct to the nearest shilling, the current value of the car. (3 marks) (c) The house bought in 21(a) continued to appreciate in value at the same rate while the car bought in 21(b) continued to depreciate in value at the same rate. Determine the number of years from the time of purchase, it would take for the value of the house and that of the car to be equal. Give the answer correct to 1 decimal place. (4 marks)
QUESTION 13  KCSE 2022  COMMERCIAL ARITHMETICS II  PAPER 2  FORM 3 LEVEL The table below shows income tax rates in a certain year.
A tax relief of Ksh 1 408 per month was allowed. Calculate the monthly income tax paid by an employee whose monthly taxable income was Ksh 26545.75. (3 marks) Demystifying Gross Tax and Gross Salary in Relation to Income TaxThe Difference Between Gross Tax and Gross Salary in Relation to Income Tax Gross tax and gross salary are two terms that are often associated with income tax calculations. Understanding the difference between these two terms is important in order to grasp the concept of income tax more effectively.
Taxable income is derived from the gross salary by subtracting any allowable deductions, exemptions, or tax credits that the individual is eligible for. These deductions and exemptions may include items such as business expenses, contributions to retirement plans, educational expenses, or certain personal deductions. The difference between gross tax and gross salary can be understood as follows: Gross salary is the total income earned by an individual, whereas gross tax is the total amount of tax liability based on that income before any deductions or exemptions are taken into account. It is important to note that after calculating the gross tax, the final tax liability is determined by applying any applicable tax credits or deductions. The resulting amount is the net tax, which represents the actual amount of tax owed by the individual. In conclusion, the difference between gross tax and gross salary lies in the fact that gross salary refers to the total income earned before any deductions, while gross tax refers to the total tax liability before any deductions or exemptions are applied. Understanding these terms helps in comprehending the calculation and impact of income tax on an individual's earnings. Related Questions
THE TABLE BELOW SHOES THE INCOME TAX RATES FOR A CERTAIN YEARKCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 18Three 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.

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