Kering purchased (2x-1) identical pens for Ksh 180. Naraya purchased (3x+1) identical pencils for Ksh 200.KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 19
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A Kenyan Non-Governmental Organization (NGO) received a donation of 200000 US dollars. The money was converted into Kenyan shillings in a bank which buys and sells foreign currency as follows:
KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 12
Jecinta made a profit of 25% by selling a pair of shoes at Ksh. 1500. What percentage profit would she have made if she sold the same shoes at 1600? (3mks)
A Kenyan tourist in US borrowed 10,000 US dollars to pay for his son’s examination.
He is expected to pay either in Kenyan shillings or through an account in the United Kingdom in sterling pounds. If he decided to pay through United Kingdom, how much would be save given that 1 US dollar = 82.4 Kenyan shillings 1 Sterling pound = 1.4 US dollar 1 Sterling pound = 105 Kenyan shillings (3mks) ANSWER
A dealer sells a mobile phone at a profit of 25%. The customer sells it to a friend at ksh 60,000, making a profit of 20 %. Find the cost prize of the mobile phone. (3 marks)
From a reservoir, water flows through a cylindrical pipe of diameter 0.2m at a rate of 0.35m per second.(a) Determine the number of liters of water discharged from reservoir in one hour. (4mks)
(b) The water flows from the reservoir for 18 hours per day for 25 days per month and serves a population of 2500 families. Determine the average consumption of water per family per month giving your answer to the nearest 100 litres. (4mks)
(c) The water is charged at the rate of sh.4.50 per 100 litres. Calculate the average water bill per family per month. (2mks)
A Kenya company received US Dollars M. The money was converted into Kenya Shillings in a bank which buys and sells foreign currencies.
(a) If the company received Ksh.15, 132,000, calculate the amount, M received in US Dollar. (2mks)
(b) The company exchanged the above Kenya shillings into Sterling pounds to buy a car in Britain. Calculate the cost of the car to the nearest Sterling pound. (2mks)
A tailor bought a number of suits at a cost of sh. 57,600 from Ken – suit wholesalers. Had he bought the same number of suits from Umoja wholesalers, it would have cost him sh. 480 less per suit. This would have enabled him to buy 4 extra suits for the same amount of money.a) Find the number of suits the tailor bought (4mks)b) The tailor later sold each suit for sh 720 more than he had paid for it. Determine the percentage profit he made?
Worked Solution:
John bought 3 brands of tea A, B and C. The cost of the three brands was sh. 25, sh. 30 and sh. 45 per kilogram respectively. He mixed the three brands in the ratio 5 : 2 : 1 respectively. After selling the mixture he made a profit of 20%.a) How much profit did he make per kilogram of the mixture? (4mks)b) After one year the cost price of each brand was increased by 12%.i) For how much did he sell one kilogram of the mixture to make 20% profit%, give your answer to the nearest 5cts (3mks)ii) What would have been his percentage profit if he sold one kilogram of the mixture at sh. 40.25? (3mks)
Worked Solution:
A Kenyan tourist left Germany for Kenya through Switzerland. While in Switzerland he bought a watch worth 52 Deutsche marks.Find the value of the watch in:-a) Swiss Francsb) Kenya shillings (3mks) Use the exchange rates below1 Swiss Franc = 1.28 Deutsche marks1 Swiss Franc = 45.21 Kenya shillings Worked Answer:
A man imported a vehicle at sh 600,000 and sold it at sh. 1, 080,000. 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. (3mks)Worked Example:
Form 1 Mathematics
A tourist converted 5820 US dollars into Kenya Shillings at the rate of Ksh 102.10 per dollar. While in Kenya, he spent Ksh450 000 and converted the balance into dollars at the rate of Ksh 103.00 per dollar.
Calculate the amount of money, to the nearest dollar, that remained.
answer
Form 1 MathematicsA salesman earns a basic salary of Kshs. 9,000 per month In addition he is also paid a commission of 5% for sales above Kshs 15,000 In a certain month he sold goods worth Kshs. 120,000 at a discount of 2 ½ % Calculate his total earnings that month ( 3 marks)
Answer
Form 1 Mathematics
Asia invested some money in a financial institution. The financial institution offered 6% per annum compound interest in the first year and 7% per annum in the second year. At the end of the second
year, Asia had Ksh 170 130 in the financial institution. Determine the amount of money Asia invested.
answer
Form 1 Mathematics
Three business partners Abila, Bwire and Chirchir contributed Ksh 120 000, Ksh 180 000 and Ksh 240 000 respectively, to boost their business.
They agreed to put 20% of the profit accrued back into the business and to use 35% of the profits for running the business (official operations). The remainder was to be shared among the business partners in the ratio of their contribution. At the end of the year, a gross profit of Ksh 225 000 was realised. (a) Calculate the amount: (i) put back into the business; (ii) used for official operations (b) Calculate the amount of profit each partner got. (c) If the amount put back into the business was added to individuals’s shares proportionately to their initial contribution, find the amount of Chirchir’s new shares.
answers
Form 1 Mathematics
A Kenyan businessman intended to buy goods worth US dollar 20 000 from South Africa
Calculate the value of the goods to the nearest South Africa (S.A) Rand given that 1 US dollar = Ksh 101.9378 and 1 S.A Rand = Ksh 7.6326.
answer
Form 1 Mathematics
A Kenyan bank buys and sells foreign currencies as shown below:
A businessman on a trip to Kenya had £50 000 which he converted to Kenya shillings. While in Kenya, he spent 80% of the money and changed the balance to South African Rand.
Calculate, to the nearest Rand, the amount he obtained.
answer
Form 1 Mathematics
In this questions, mathematical tables should not be used
At Kenya bank buys sells foreign currencies as shown below: 
A Japanese traveling from France arrives in Kenya with 5000 Euros; he converts all the 5000 Euros to Kenya Shillings at the bank.
Calculate the amount in Japanese yen, than he receives.
Answers
Form 1 Mathematics
Kago deposited kshs 30000 in a financial institution that paid simple interest at the rate of 12% per annum. Nekesa deposited the same amount of money as Kago in
another financial institution that paid compound interest. After 5 years , they had equal amounts of money in the financial institutions. Determine the compound interest rate, to 1 decimal place for Nekesas deposit
ANSWER
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
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
Form 1 Mathematics
The marked price of a car in a dealer’s shop was Kshs 400,000. Wekesa bought the car at 8% discount. The dealer still made a profit of 15%.
Calculate the amount of money the dealer had paid for the car.
Answer
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
Form 1 Mathematics
The cost of 2 jackets and 3 shirts was Ksh 1800. After the cost of a jacket and that of a shirt were increased by 20%, the cost of 6 jackets and 2 shirts was
Ksh 4 800. Calculate the new cost of a jacket and that of a shirt.
answer
Form 1 Mathematics
A salesman is paid a salary of Ksh 15, 375 per month. He also gets a commission of 4 1/2 % on the amount of money he makes from his sales. In a certain month, he
earned a total of Ksh 28 875. Calculate the value of his sales that month.
answer
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