NAME INDEX NUMBER
SCHOOL DATE
COMMERCIAL ARITHMETIC
a) DISCOUNTS, PROFIT AND LOSS
KCSE 1989 – 2012 Form 1 Mathematics Working space
1. 1990 Q6 P1
Musa paid sh180 for a shirt after getting a discount of
10%. The shopkeeper made a profit of 20% on the sale of
this shirt. What percentage profit would the shopkeeper
have made if no discount was allowed? (3 marks)
2. 1990 Q24 P2
An import company brought into the country some
amplifiers that cost sh 3750 each. The government
imposed an import duty o 125% and a sales tax of 20%. If
the company decided to make a 10% profit on sales,
calculate the selling the price of each amplifier
(8 marks)
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Working space
3. 1991 Q2 P1
A shopkeeper made a loss of 30% by selling an electric
iron at sh700. What profit would he have made had he
sold it at sh 1150? (3 marks)
4. 1997 Q12 PI
A businesswoman bought two bags of maize at the same
price per bag. She discovered that one bag was of high
quality and the other of low quality.
On the high quality bag she made a profit by selling at
Kshs 1,040. Whereas on the low quality bag she made a
loss by selling at Kshs 880. If the profit was three times
the loss, calculate the buying price per bag.
5. 1998 Q7 P2
A manufacturer sells bottle of fruit juice to a trader at a
profit of 40%. The trader sells it for Kshs 84 at a profit of
20%. Find
(a) The trader’s buying price
(b) The cost of manufacture of one bottle
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Working space
6. 2001 Q6 P2
A telephone bill includes Ksh.4,320 for local
calls,Ksh.3,260 for trunk calls and a rental charge of
Kshs.2,080.A value added tax (V.A.T.) is then charge at
15%.
7. 2003 Q2 P2
A shirt whose marked price in shs.800 is sold to a
customer after allowing him a discount of 13%. If the
trader makes a profit of 20%, find how much the trader
paid for the shirt.
8. 2004 Q2 P2
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.
Working space
3
9. 2011 Q11 P1
A customer paid Ksh 5880 for a suit after she was allowed
a discount of 2% on the selling price. If the discount had
not been allowed, the shopkeeper would have made a
profit of 20% on the sale of the suit. Calculate the price at
which the shopkeeper bought the suit. (3 marks)
10. 2012 Q14 P1
A Forex Bureau in Kenya buys and sells foreign
currencies as shown below:
Buying Selling
Currencies (Ksh) (Ksh)
Chinese Yuan 12.34 12.38
South African Rand 11.28 11.37
A business woman from china converted 195 250 Chinese
Yuan into Kenya Shillings.
Calculate the amount of Money, in Kenya shillings,
that she received. (1 mark)
(a) While in Kenya, the businesswoman spent Ksh 1
258 000 and then converted the balance to South
African Rand. Calculate the amount of money, to
the nearest Rand, that she received. (3 marks)
a) EXCHANGE RATES Working space
4
KCSE 1989 – 2012 Form 1 Mathematics
1. 1990 Q6 P1
A Kenyan businessman bought a car from Zimbabwe for
12,000 Zimbabwean dollars. He sold it in Kenya at a profit
of 15% . Given that 1 Zimbabwean dollar is equal to sh.
98489, calculate his profit in Kenya shillings. (3 marks)
2. 1993 Q6 P2
A Kenyan businessman owes US$ 100,000 to a company
in the United States of America. The Kenyan can either
pay through his account in Kenya or through his account
in the United Kingdom. Which method is cheaper and by
how much?
(Give your answer in Kenyan shillings given that:
1 US dollar = 28.74 Kenyan shillings.
1 Sterling pound = 1.79 US dollar
1 Sterling pound = 50.80 Kenyan shillings
(4 marks)
Working space
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3. 1994 Q11 P2
The cost of a car outside Kenya is US $5,000. You intended
to buy one such car through an agent who deals in
Japanese Yen. The agent will charge you 20%
commissions on the price of the car and a further 80,325
Japanese Yen for shipment of the car.
How many Kenya shillings will you need to send to the
agent to obtain the car, given that:
1 US$ = 105.00 Yen
1 US $ = Ksh 63.00
(3 marks)
4. 1996 Q4 P2
A traveler had sterling pounds 918 with which he had
bought Kenya shillings at the rate of Ksh 84 per sterling
pound. He did not spend the money as intended. Later, he
used the Kenyan shilling to buy sterling pounds at the
rate of Ksh 85 per sterling pound.
Calculate the amount of money in sterling pounds lost in
the whole transaction (3 marks)
Working space
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5. 1997 Q3 P2
A commercial bank buys and sells Japanese yen in Kenya
shillings at the rates shown below.
Buying Selling
Kshs 0.5024 Kshs. 0.5446
A Japanese tourist at the end of his tour of Kenya was left
with Kshs 30,000 which he converted to Japanese yen
through the commercial bank. How many Japanese yen
did he get?
6. 1998 Q6 P2
During a certain period, the exchange rate were follows
1 sterling pound = Kshs. 102.0
1 sterling pound = Kshs. U.S dollar
1 U.S dollar = Kshs. 60.6
A school management intended to import textbooks
worth Kshs 500,00 from U.K. It changed the money to
sterling pounds. Later the management found out that
books were cheaper in U.S.A. Hence it changed the
sterling pounds to dollars. Unfortunately, a financial crisis
arose and the money had to be reconverted to Kenya
shillings.
Calculate the total amount of money the management
ended up with
Working space
7. 2002 Q7 P1
7
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 Francs.
(b) Kenya Shillings
Use the exchange rates below:
1 Swiss Franc = 1.28 Deutsche Marks. (3 marks)
1 Swiss Franc = 45.21 Kenya Shillings
Working space
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8. 2004 Q14 P2
In this questions, mathematical tables should not be used
At Kenya bank buys sells foreign currencies as shown
below:
Buying Selling
(Kenya Shillings (Kenya Shillings)
1 Euro 84.15 84.26
100 Japanese yen 65.37 65.45
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.
9. 2006 Q7 P1
In this question, mathematical table 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 tourists arrived in Kenya with 105 000 Hong Kong
dollars and changed the whole amount to Kenyan
shillings. While in Kenya, she pent Ksh 403 897 and
changed the balance to South African rand before leaving
for South Africa.
Calculate the amount, in South African rand that she
received.
Working space
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10. 2007 Q4 P1
A Kenyan businessman bought goods from Japan worth 2,
950 000 Japanese yen. On arrival in Kenya custom duty
of 20% was charged on the value of the goods.
If the exchange rates were as follows
1 US dollar = 118 Japanese Yen
1 US dollar = 76 Kenya shillings
Calculate the duty paid in Kenya shillings ( 3 marks)
Working space
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11. 2010 Q6 P1
A Kenyan company received US Dollars 100,000.The
money was converted into Kenya shillings in a bank
which buys and sells foreign currencies as follows:
Buying Selling
(in Kenya shillings) (in Kenya shillings)
1 US Dollar 77.24 77.44
1 Sterling Pound 121.93 122.27
(a) Calculate the amount of money, in Kenya shillings, the
company received. (2 marks)
(b) The company exchanged the Kenya shillings
calculated in (a ) above, into sterling pounds to buy a
car from Britain. Calculate the cost of the car to the
nearest sterling pound. (2 marks)
Working space
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12. 2012 Q14 P1
A Forex Bureau in Kenya buys and sells foreign
currencies as shown below:
Buying Selling
Currencies (Ksh) (Ksh)
Chinese Yuan 12.34 12.38
South African Rand 11.28 11.37
A business woman from china converted 195 250 Chinese
Yuan into Kenya
Shillings.
(a) Calculate the amount of Money, in Kenya shillings,
that she received. (1 mark)
(b) While in Kenya, the businesswoman spent Ksh 1 258
000 and then converted the balance to South African
Rand. Calculate the amount of money, to the nearest
Rand, that she received. (3 marks)
c) COMMISSIONS
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KCSE 1989 – 2012 Form 1 Mathematics Working space
Answer all the questions
1. 1989 Q10 P1
A salesman earns a basic salary of sh 1500 per month. In
addition he is paid commission as follows
Commission
For sales up to sh 50,000 0%
For sales above sh 50,000
(i) For the first sh 25000 2%
(ii) For the next sh 25000 21/2%
For any amount above sh 100,000 5%
During one month, he sold goods worth sh 115, 000
(a) How much commission did he get? (2 marks)
(b) What was the total pay that month? (2 marks)
2. 1991 Q12 P2
A car bought for sh 80,000 was sold through a dealer at a
profit of 15%. The dealer charged the owner 8%
commissions on the selling price. How much did the
owner get?
Working space
13
3. 1996 Q7 P1
Mr. Ngeny borrowed Kshs. 560,000 from a bank to buy a
piece of land. He was required to repay the loan with
simple interest for a period of 48 months. The repayment
amounted to Kshs 21000 per month.
Calculate
(a) The interest paid to the bank (2 marks)
(b) The rate per annum of the simple interest (4 marks)
4. 1996 Q9 P1
A car dealer charges 5% commission for selling a car. He
received a commission of Kshs 17,500 for selling a car.
How much money did the owner receive from the sale of
his car? (2 marks)
Working space
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5. 1998 Q5 P1
A salesman gets a commission of 2.4% on sales up to Kshs
100,000. He gets an additional commission of 1.5% on
sales above this. Calculate the commission he gets on
sales worth Kshs 280.000
6. 1999 Q5 P2
In the month of January, an insurance salesman earned
Kshs 6750 which was a commission of 4.5% of the
premium paid to the company.
A salesman earns a basic salary of Kshs. 9000 per month
In addition he is also paid a commission of 5% for sales
above Kshs 15000 .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)
Working space
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7. 2010 Q17 P1
A saleswoman is paid a commission of 20% on goods sold
worth over Ksh 100,000.She is also paid a monthly salary
of Ksh 12,000.In a certain month, she sold 360 handbags
at Ksh 500 each.
(i) Calculate the saleswoman’s earnings that month.
(3 marks)
The following month, the saleswoman’s monthly salary
was increased by 10%.Her to total earnings that month
were Ksh 17,600.
Calculate:
(i) The total amount of money received from the sales
of handbags that month. (5marks)
(ii) The number of handbags sold that month (2 marks)
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