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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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Juanita sold goods worth Ksh 95,000 and earned a total commission of Ksh 4,500. If the commission
on the first Ksh. 50,000 was half of the...
(Solved)
Juanita sold goods worth Ksh 95,000 and earned a total commission of Ksh 4,500. If the commission
on the first Ksh. 50,000 was half of the total commission, what were the two rates of commission?
Date posted:
June 19, 2019
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Answers (1)
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A man imported a vehicle at Shs. 600,000 and sold it at Sh. 1,080,0000. Find his percentage profit if he
spent sh. 60,000 for clearing the...
(Solved)
A man imported a vehicle at Shs. 600,000 and sold it at Sh. 1,080,0000. Find his percentage profit if he
spent sh. 60,000 for clearing the vehicle from the port and a further sh. 40,000 for shipping.
Date posted:
June 19, 2019
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Answers (1)
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A drapper bought some shirts and some trousers from a wholesaler Y at Sh.200 per
shirt and Sh.600 per trouser, spending a total of Sh.22, 000....
(Solved)
A drapper bought some shirts and some trousers from a wholesaler Y at Sh.200 per
shirt and Sh.600 per trouser, spending a total of Sh.22, 000. If he had bought the same
items from wholesaler X, he would have paid 25% more for a shirt and 15% less for a
trouser and he would have spent Sh.700 more.
a) Write a simultaneous equation to represent the above information.
b) Determine the number of each item he bought
c) He sold all the items as a profit of 50% per shirt and 30% per trouser. Find the
total profit he made if he bought from wholesaler X.
d) Calculate to the nearest whole number, the percentage profit he made if he bought
from wholesale Y
Date posted:
June 19, 2019
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Answers (1)
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A farmer made a loss of 28% by selling a goat for Sh.1440. What percentage profit
would he have made if he had sold the goat...
(Solved)
A farmer made a loss of 28% by selling a goat for Sh.1440. What percentage profit
would he have made if he had sold the goat for Sh.2100?
Date posted:
June 19, 2019
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Answers (1)
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A trader sold an article at sh.4800 after allowing his customer a 12% discount on the marked price of
the article. In so doing he made...
(Solved)
A trader sold an article at sh.4800 after allowing his customer a 12% discount on the marked price of
the article. In so doing he made a profit of 45% .
a) Calculate
(i) the marked price of the article.
(ii) the price at which the trader had bought the article
b) If the trader had sold the same article without giving a discount. Calculate the percentage profit he
would have made.
c) To clear his stock, the trader decided to sell the remaining articles at a loss of 12.5% (Calculate the price at which he sold each article.
Date posted:
June 19, 2019
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Answers (1)
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A man invests Ksh 10000 in an account which pays 16% interest p.a. The interest is compounded quarterly. Find the interest earned after 1 ½...
(Solved)
A man invests Ksh 10000 in an account which pays 16% interest p.a. The interest is compounded quarterly. Find the interest earned after 1 ½ years to the nearest shilling.
Date posted:
June 19, 2019
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Answers (1)
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Ann bought 24 trays of eggs at sh 225 each. Each tray contains 30 eggs. 54 eggs got broken during transportation. At what price must...
(Solved)
Ann bought 24 trays of eggs at sh 225 each. Each tray contains 30 eggs. 54 eggs got broken during transportation. At what price must he sell each egg in order to realize a profit of 22%. Answer to the nearest 1 shilling.
Date posted:
June 19, 2019
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Answers (1)
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Wekesa deposited a certain amount of money in bank that paid compound interest at the rate of 20% P.A. Calculate to the nearest year the...
(Solved)
Wekesa deposited a certain amount of money in bank that paid compound interest at the rate of 20% P.A. Calculate to the nearest year the time he would have to wait for his investment to tripple.
Date posted:
June 19, 2019
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Answers (1)
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Wekhomba bought a laptop in Uganda for Ush.1, 050,000. He then paid 60 US dollars as transportation charges to Kenya. On arrival in Kenya he...
(Solved)
Wekhomba bought a laptop in Uganda for Ush.1, 050,000. He then paid 60 US dollars as transportation charges to Kenya. On arrival in Kenya he paid duty and sales tax amounting to 55% of the cost in Uganda. He then gave it to a friend in Tanzania tax free. If the exchange rates were I US dollar = Ush 1016, 1Ksh = Ush 24.83 and Tsh 1 = Ksh 0.0714
(a) Calculate the total expenses in Kenya shillings incurred by Wekhomba
(b) Find the expenditure on transportation and taxes as a percentage of the total
expenditure
(c) What is the total value of the laptop in Tanzanian shillings
(d) Find the overall increase in value of the laptop as percentage of the buying price
Date posted:
June 19, 2019
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Answers (1)
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Jane is a sales executive earning a salary of Ksh. 20,000 and a commission of 8% for the sales in excess of Ksh 100,000. If...
(Solved)
Jane is a sales executive earning a salary of Ksh. 20,000 and a commission of 8% for the sales in excess of Ksh 100,000. If in January 2010 she earned a total of Ksh.48, 000 in salaries and commissions.
a) Determine the amount of sales she made in that month
b) If the total sales in the month of February and March increased by 18% and then dropped by 25% respectively. Calculate
(i) Jane’s commission in the month of February
(ii) Her total earning in the month of March
Date posted:
June 19, 2019
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Answers (1)
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A rectangular room has length 12.0 metres and width 8.0 metres. Find the maximum
percentage error in estimating the perimeter of the room.
(Solved)
A rectangular room has length 12.0 metres and width 8.0 metres. Find the maximum
percentage error in estimating the perimeter of the room.
Date posted:
June 19, 2019
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Answers (1)
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A rectangular plate has a perimeter of 28cm. determine the dimensions of the plate that
give the maximum area
(Solved)
A rectangular plate has a perimeter of 28cm. determine the dimensions of the plate that
give the maximum area
Date posted:
June 19, 2019
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Answers (1)
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A wire of length 5.2m is cut into two pieces without wastage. One of the pieces is
3.08m long. What is the shortest possible length of...
(Solved)
A wire of length 5.2m is cut into two pieces without wastage. One of the pieces is
3.08m long. What is the shortest possible length of the second piece?
Date posted:
June 19, 2019
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Answers (1)