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- (a) A car is worth shs.800,000 when new. During the first year it depreciates by 20%
of its value and in the second it deprecates by...(Solved)
(a) A car is worth shs.800,000 when new. During the first year it depreciates by 20%
of its value and in the second it deprecates by 5% of its value at the start of the year.
During the third, fourth and fifth year, depreciation rate is 10%. How much less will
it cost at the end of the fifth year?
(b) Find by how much the compound interest will exceed simple interest on shs.3,000
for two years at 15% per year
Date posted: June 19, 2019. Answers (1)
- The table below shows the income tax rates:
Income per month (K£) Rate in Kshs per £
1 - 325 ...(Solved)
The table below shows the income tax rates:
Income per month (K£) Rate in Kshs per £
1 - 325 2
326 – 975 3
976 - 1300 5
1301 – 1625 6
Over 1625 7.50
Mr. Misoi is a public servant who lives in a government house and pays a nominal rent of Kshs.1,220 per month. He earns a basic salary of Kshs. 24,800 and a house allowance of Kshs.12,000 per month. He is entitled to a monthly relief of kshs.1620.
(a) Calculate his monthly;
(i) Taxable income in K£
(ii) Tax payable without relief
(iii) Tax after relief
(b) Apart from the income tax. The following monthly deductions are made from his earnings
-HELB loan repayment Kshs.2400
- Health insurance fund Kshs.1200
- 2% of Basic salary union fee
Calculate:- (i) the total monthly deduction made on Mr. Misoi’s income
(ii) Mr. Misoi’s net income per month
Date posted: June 19, 2019. Answers (1)
- Joseph bought a camera on hire purchase (H.P) term by paying a deposit of shs.7200
and cleared the balance in 24 equal monthly installments each of...(Solved)
Joseph bought a camera on hire purchase (H.P) term by paying a deposit of shs.7200
and cleared the balance in 24 equal monthly installments each of 1250.
(a) find the hire purchase price of the camera
(b) the hire purchase price of the camera is 24% higher than the cash price. Find the
cash price of the camera
(c) Kangara took a loan from a financial institution and bought the camera with cash.
He repaid the loan at 18% p.a compound interest at the end of the two years. Find
the total interest paid by Kangara.
Date posted: June 19, 2019. Answers (1)
- Income tax for all the income earned was charged at the rates shown.
(a) Wanyonyi earned a salary of Kshs.10,500 per month. In addition he was...(Solved)
Income tax for all the income earned was charged at the rates shown.
(a) Wanyonyi earned a salary of Kshs.10,500 per month. In addition he was given a house
allowance of Kshs. 6500 per month. He got tax relief of Kshs. 300 per month.
Find ; (i) His taxable income p.a (ii) Income tax he pays per month.
(b) A part from income tax the following deductions are made per month. NHIF of Kshs.320,
widow and pension scheme of 2% of his gross salary. Calculate his net monthly pay.
Date posted: June 19, 2019. Answers (1)
- The table below shows the rate at which income tax is charged for all taxable income.
...(Solved)
The table below shows the rate at which income tax is charged for all taxable income.
INCOME RATE IN EXCH TWENTY SHILLINGS
On the first shs.116 160 10%
On the next shs.109 440 15%
On the next shs.109 440 20%
On the next shs.109 440 25%
On all income over shs.444 480 30%
Mr. Nyongesa earns a basic salary of sh.54, 450 per month. He is housed by the company and therefore 15% of his monthly salary is added to the basic salary as a taxable income. He is also given taxable medical and transport allowances of shs.4,000 and shs.2,000 per month respectively. He is entitled to a family relief of sh.1, 100 per month.
(a) Calculate Nyongesa’s annual taxable income
(b) Calculate his monthly P.A.Y.E after the relief
(c) If 20% of his basic salary goes towards deductions, determine his monthly income.
Date posted: June 19, 2019. Answers (1)
- The table shows corresponding values of x and y for a certain curve;
Using 3 strips and mid-ordinate rule estimate the area between the curve, x-axis,
the...(Solved)
The table shows corresponding values of x and y for a certain curve;
Using 3 strips and mid-ordinate rule estimate the area between the curve, x-axis,
the lines x =1 and x =2.2
Date posted: June 19, 2019. Answers (1)
- ABCD is a parallelogram with vertices A (1,1) and C(8,10). AB has the equation
4x -5y = -1 and BC has the equation 5x – 2y...(Solved)
ABCD is a parallelogram with vertices A (1,1) and C(8,10). AB has the equation
4x -5y = -1 and BC has the equation 5x – 2y = 20. Determine by calculation;
(a) the co-ordinates of the point M where the diagonals meet
(b) The co-ordinates of the vertices B and D
(c) the length of AB correct to 4 significant figures
Date posted: June 19, 2019. Answers (1)
- OABC is a trapezium such that the coordinates of O, A , B and C are (0, 0), (2, -1), (4, 3)
and (0, y)
(a) Find...(Solved)
OABC is a trapezium such that the coordinates of O, A , B and C are (0, 0), (2, -1), (4, 3)
and (0, y)
(a) Find the value of y
(b) M is the mid-point of AB and N is the mid-point of OM. Find in column form
(i) the vector AN
(ii) the vector NC
(iii) Vector AC
(c) Hence show that A, N and C are collinear
Date posted: June 19, 2019. Answers (1)
- In the figure below (not drawn to scale), PQRS is a rectangle and P and Q are the points
(3, 2) and (1,4) respectively
Given that the...(Solved)
In the figure below (not drawn to scale), PQRS is a rectangle and P and Q are the points
(3, 2) and (1,4) respectively
Given that the equation of the line PQ is y =3x -7, find:
(a) The equation of line QR
(b) The coordinates of point R
(c) The coordinates of point S
Date posted: June 19, 2019. Answers (1)
- T is the mid-point of line XY where X is point (1,4) and Y is the point (-5, 10). Find the
equation of a line, L2...(Solved)
T is the mid-point of line XY where X is point (1,4) and Y is the point (-5, 10). Find the
equation of a line, L2 which is perpendicular to line XY and goes through point T
Date posted: June 19, 2019. Answers (1)
- Find the equation of a line which passes through the point (2, 3) and is perpendicular to
y – 3x+ 1 = 0, giving your answer...(Solved)
Find the equation of a line which passes through the point (2, 3) and is perpendicular to
y – 3x+ 1 = 0, giving your answer in the form y = mx + c
Date posted: June 19, 2019. Answers (1)
- Find the angle ? in degrees from the figure below(Solved)
Find the angle θ in degrees from the figure below
Date posted: June 19, 2019. Answers (1)
- In certain day the bank rates for changing dollars to shillings are given below.
Buying selling
Dollar 78.43 ...(Solved)
In certain day the bank rates for changing dollars to shillings are given below.
Buying selling
Dollar 78.43 79.25
An American tourist changed US dollar 1500 to shillings, but then had to return to U. S. A
immediately and changed all the shillings back to dollars using the same rates. How much
did he lose?
Date posted: June 19, 2019. Answers (1)
- Factorise the expression(Solved)
Factorise the expression
Date posted: June 19, 2019. Answers (1)
- When shop keeper sells articles at sh. 240.50 each he makes a profit of 25% on the cost
price. During a sale he reduces the price...(Solved)
When shop keeper sells articles at sh. 240.50 each he makes a profit of 25% on the cost
price. During a sale he reduces the price of each article by sh. 22.90. Calculate the
percentage profit on an article sold at the sale price.
Date posted: June 19, 2019. Answers (1)
- The cost of a camera outside Kenya is US$1000. James intends to buy one camera through an agent
who deals in Japanese Yen. The agent charges...(Solved)
The cost of a camera outside Kenya is US$1000. James intends to buy one camera through an agent
who deals in Japanese Yen. The agent charges him a commission of 5% on the price of the camera and
further 1260 Yen as importation tax. How many Kshs. Will he need to send to the agent to obtain the
camera, given that:-
1 US$ = 105.00 Yen.
1 US$ = Kshs.63.00
Date posted: June 19, 2019. Answers (1)
- Muthoni went to a shop and bought 50 packets of milk and 25 packets of salt all for Kshs.200.00. She
sold the milk at a profit...(Solved)
Muthoni went to a shop and bought 50 packets of milk and 25 packets of salt all for Kshs.200.00. She
sold the milk at a profit of 28% and the salt at a profit of 24% thereby making a net profit of
Kshs.53.50. Find the cost price of a packet of milk and a packet of salt.
Date posted: June 19, 2019. Answers (1)
- Kimani bought a car at kshs. 120,000. Its value depreciated by 8% per year for the first 2 years
and by 12% per year for the...(Solved)
Kimani bought a car at kshs. 120,000. Its value depreciated by 8% per year for the first 2 years
and by 12% per year for the subsequent years.
(a) Determine the value of the car after 6 years.
(b) After 6 years, the car was sold through an agent at 25% more than its value. If the sales
price was to be taken as its value after depreciation, calculate the average monthly rate of
depreciation for the six years.
Date posted: June 19, 2019. Answers (1)
- A Kenya bank buys and sells foreign currencies as shown below.
...(Solved)
A Kenya bank buys and sells foreign currencies as shown below.
Buying (Ksh) Selling Ksh
1 Euro 84.15 84.26
100 Japanese Yen 65.37 65.45
A Japanese traveling from France in Kenya with 5000 Euros. He converted all the 5000 Euros to
Kenya shillings at the bank. While in Kenya, he spent a total of Ksh. 289850 and then converted the
remaining Kenya shillings to Japanese Yens at the bank. Calculate the amount in Japanese Yen that he
received.
Date posted: June 19, 2019. Answers (1)
- Mr. Sitienei sold a house to Mr. Lagat at a profit of 10%. Mr. Lagat then sold it to Mr. Rotich at a
profit of 5%....(Solved)
Mr. Sitienei sold a house to Mr. Lagat at a profit of 10%. Mr. Lagat then sold it to Mr. Rotich at a
profit of 5%. Mr. Rotich paid Ksh 110,000 more than Mr. Lagat for the house. Find how much Mr.
Rotich paid for the house.
Date posted: June 19, 2019. Answers (1)