TopicGeneral Maths
Number · SS1–SS3
Commercial arithmetic
Money in everyday life: profit and loss, interest, discounts, shares, rates and taxes.
- Before this
- Number foundations & fractions
Learn
- 1Percentages, profit and lossPercentage change as a multiplier, profit and loss on the cost price, marked price and discount, working back to the original price, and successive percentage changes.Done16 min
- 2Interest, depreciation and growthSimple interest on the original sum, compound interest on the growing amount, depreciation on a reducing value, and finding the principal, rate or time.Done16 min
- 3Shares, tax, commission and exchangeSharing profits in the ratio of investment, income tax after allowances, commission, import duty, shares and dividends, foreign exchange and buying by instalments.Done16 min
Practise
Answer commercial arithmetic questions one at a time. You'll know straight away whether you're right, with hints and the working step by step.
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Past questions (142)
From 1983–2025: 70 WAEC, 10 NECO, 62 JAMB. Theory questions first, then objective, newest first.
Theory (59)
- WAEC 2024 · Paper 2 · Q10In a man’s will, he gave of the total acres of his farm to his wife and of what was left to the family. The rest of the farm …
- WAEC 2024 · Paper 2 · Q2A car travelled a distance of at and at . If the total time for …
- NECO 2023 · Paper 2 · Q2The sum of the interior angles of a regular polygon is . (i) How many sides has the polygon? (ii) Find the size of each exterior …
- NECO 2023 · Paper 2 · Q9Given and , …
- WAEC 2023 · Paper 2 · Q2In a football match, the tickets for children and adults were sold at D3.00 and D5.00 respectively. 400 people attended the match and D1,700.00 …
- WAEC 2023 · Paper 2 · Q6, where is a counting number. Write down all the elements in .
- WAEC 2023 · Paper 2 · Q1A village estimates ₦1,049,740.00 for a water project. The sum of ₦400,000.00 is realised through communal donation and deposited in a bank at …
- WAEC 2023 · Paper 2 · Q13 is a trapezium with . is a point on such that . If …
- NECO 2022 · Paper 2 · Q2A tax payer is allowed of his income tax-free and pays 20% on the remainder. If he pays ₦2,400.00 tax, calculate his income and the …
- WAEC 2022 · Paper 2 · Q7A man purchased 180 copies of a book at ₦250.00 each. He sold copies at ₦300.00 each and the rest at a discount of 5 kobo in the Naira of …
- WAEC 2022 · Paper 2 · Q8| Item | Food and drinks | Fuel | Rent | Building project | Education | Savings |
- WAEC 2022 · Paper 2 · Q6Given that , and , where is an integer, find: (i) ; (ii) …
- WAEC 2022 · Paper 2 · Q7A television set purchased for ₦65,000.00 depreciates by per year. Find the value of the television at the end of the third year.
- WAEC 2021 · Paper 2 · Q1Mr Sarfo borrowed $25,000.00 from AFIAK Financial Services at simple interest per annum for 3 years. If he was able to pay back the loan in 2 years at equal yearly instalments, how much did he pay each year?
- WAEC 2021 · Paper 2 · Q13On Sam's first birthday celebration, his grandfather deposited an amount of $1,000.00 in a bank compounded at interest annually. Find how much is in the account if Sam is 4 years old.
- WAEC 2021 · Paper 2 · Q2A man left town at 10:00 a.m. and travelled by car to town at an average speed of . He spent 2 hours for a meeting and …
- WAEC 2021 · Paper 2 · Q6In a class of 80 students, study Biology and study Physics. If each student studies at least one of the subjects: …
- WAEC 2021 · Paper 2 · Q11In the diagram, is the centre of the circle and . Find: (i) ; (ii) .
- WAEC 2021 · Paper 2 · Q13There are 20 men on a public bus. Of these, 15 wear glasses and 10 wear wrist watches. If one man is chosen at random from the bus, what is the …
- WAEC 2021 · Paper 2 · Q9An aircraft leaves airport at 09:55 hours GMT and arrives at airport at 14:15 hours GMT. Given that the distance between the two …
- WAEC 2021 · Paper 2 · Q1Kojo and Alidu invested $4,000.00 and $6,000.00 respectively in a business venture. After one year, a profit of $4,800.00 was realised. If after deduction of expenses of $1,280.00, …
- WAEC 2021 · Paper 2 · Q2The distance between two ports and is . Two ships travel towards each other, one leaving port at …
- WAEC 2021 · Paper 2 · Q7The marked price for an item with a profit of is ₦60,000.00. If the item was sold at a discount of , calculate, correct to one decimal …
- WAEC 2020 · Paper 2 · Q1If , and are subsets of , …
- WAEC 2020 · Paper 2 · Q10The ratio of the radius () of the base of a cone to the height () is . If the height of the cone is , calculate, …
- WAEC 2020 · Paper 2 · Q6Alidu negotiated to buy a car at GH₵ 27,200.00 from a second-hand car dealer and intended to sell it at a profit of . A week later, when …
- WAEC 2019 · Paper 2 · Q10A woman bought 130 kg of tomatoes for ₦52,000.00. She sold half of the tomatoes at a profit of . The rest of the tomatoes began to go bad; …
- WAEC 2019 · Paper 2 · Q12Given that , find the value of .
- WAEC 2019 · Paper 2 · Q3Ali, Musah and Yusif shared ₦420,000.00 in the ratio respectively. Find the sum of Ali's and Yusif's shares.
- WAEC 2019 · Paper 2 · Q6Fred bought a car for $5,600.00 and later sold it at of the cost price. He spent $1,310.00 out of the amount received and invested the …
- WAEC 2019 · Paper 2 · Q10A man bought a house at $350,000.00. He paid of the cost from his own resources and the rest with a loan he took from the bank at simple interest per annum for 8 years. Calculate the:
- WAEC 2019 · Paper 2 · Q8The fifth term of an Arithmetic Progression (A.P.) is 11 and the eighth term is 20. Find the: (i) 12th term; (ii) sum of the first 12 terms.
- WAEC 2018 · Paper 2 · Q1A used car was purchased at ₦900,000.00. Its value depreciated by in the first year. In each subsequent year, the depreciation was …
- WAEC 2018 · Paper 2 · Q8Lamin bought a book for ₦300.00 and sold it to Bola at a profit of . Bola then sold the same book to James at a profit of . If James …
- WAEC 2018 · Paper 2 · Q12Mr John paid ₦8,400.00 for ₦1.00 ordinary shares of a company which sold at ₦2.50 per share. If a dividend was declared at 25 kobo per share, …
- WAEC 2018 · Paper 2 · Q3The diagram shows an athletics track with two parallel sides and two semicircular ends. Each of the parallel sides is 60 metres long and the …
- WAEC 2018 · Paper 2 · Q4A man was charged 2 kobo per month for every ₦1.00 he borrowed from a bank. At what rate per annum was the interest charged?
- WAEC 2018 · Paper 2 · Q7A shop had two reduction sales during which prices of all items were reduced by in the first sale and in the second. If a shirt …
- WAEC 2017 · Paper 2 · Q6A manufacturing company requires 3 hours of direct labour to process every ₦87.00 worth of raw materials. If the company uses ₦30,450.00 worth …
- WAEC 2017 · Paper 2 · Q2A trader invested some money in a bank for two years at per annum compound interest. If he collected an amount of ₦2,205,000.00 for his …
- WAEC 2016 · Paper 2 · Q1Without using mathematical tables or calculators, evaluate , leaving the answer in standard form …
- WAEC 2016 · Paper 2 · Q5The diagram shows a semicircular arc on a school gate with centre and diameter , with a shaded segment . If metres and …
- WAEC 2016 · Paper 2 · Q6A worker's annual income was tax-free and the remainder was taxed at a rate of 25 kobo in the naira. If he paid a tax of ₦14,000.00 in …
- WAEC 2015 · Paper 2 · Q9The first term of an Arithmetic Progression (A.P.) is . If the ratio of the 7th term to the 9th term is , find the common difference …
- WAEC 2014 · Paper 2 · Q6If , find .
- WAEC 2014 · Paper 2 · Q2A man has a wife and 6 children and his total income in a year was GH¢ 850.00. He was given the following tax-free allowances: personal GH¢ 120.00; …
- WAEC 2013 · Paper 2 · Q2Solve: .
- WAEC 2013 · Paper 2 · Q6Two positive whole numbers and are such that is greater than and their sum is equal to three times their difference. (i) Express …
- WAEC 2013 · Paper 2 · Q6If , find .
- WAEC 2012 · Paper 2 · Q4A box contains 40 identical discs which are either red or white. If the probability of picking a red disc is , calculate the number …
- WAEC 2012 · Paper 2 · Q5A trader bought an article in Sierra Leone at Le 360,000. He paid of the cost price as import duty on entering Nigeria. If the rate of …
- WAEC 2012 · Paper 2 · Q7If , and , evaluate .
- WAEC 2011 · Paper 2 · Q5A library received a $1,300 grant. It spends of the grant on magazine subscriptions, on new books, to repair damaged books, to buy new furniture and to train library staff.
- WAEC 2010 · Paper 2 · Q6In a class of 50 students, 30 offered History, 15 offered History and Geography while 3 did not offer any of the two subjects. (i) Represent …
- WAEC 2009 · Paper 2 · Q6If , and , evaluate .
- WAEC 2009 · Paper 2 · Q6By how much is greater than or less than ? Give your answer in base two.
- WAEC 2009 · Paper 2 · Q8The area of a rectangular football field is and its perimeter is 360 m.
- WAEC 2008 · Paper 2 · Q7Solve, correct to two decimal places, the equation .
- WAEC 2008 · Paper 2 · Q7When the marked price of an article is D600, the profit is . Calculate the: (i) cost price; (ii) actual profit if a cash discount …
Objective (83)
- WAEC 2025 · Paper 1 · Q2If three children share ₦10.50 among themselves in the ratio , how much is the largest share?
- WAEC 2025 · Paper 1 · Q6By selling some crates of soft drinks for ₦600.00, a dealer makes a profit of . How much did the dealer pay for the drinks?
- NECO 2024 · Paper 1 · Q14If Olu, Tony and Tunde share ₦240,000.00 in the ratio respectively, what is two-thirds of Tunde's share?
- NECO 2024 · Paper 1 · Q6A man with an annual salary of ₦1,300,000.00 is to pay an income tax of . Calculate his tax, if his allowances amount to ₦137,000.00.
- NECO 2024 · Paper 1 · Q8How many years will ₦12,000.00 saved in a bank take to amount to ₦12,960.00 at per annum simple interest?
- WAEC 2024 · Paper 1 · Q25A car valued at $600,000.00 depreciates by each year. What will be the value of the car at the end of two years?
- WAEC 2024 · Paper 1 · Q7Find the time for which $1,250.00 will amount to $2,031.25 at per annum simple interest.
- WAEC 2024 · Paper 1 · Q9The population of a town increases by every year. In the year 2000, the population was 3,000. Find the population in the year 2003.
- NECO 2023 · Paper 1 · Q1Decrease 120 by .
- NECO 2023 · Paper 1 · Q5A boy walks 88 paces in a minute. If his average pace length is , what fraction of an hour will it take him to walk ?
- NECO 2023 · Paper 1 · Q9Calculate the compound interest on ₦1,200.00 for 4 years at per annum.
- WAEC 2023 · Paper 1 · Q15The price of a shoe was decreased by . If the new price is $27.30, what is the original price?
- NECO 2022 · Paper 1 · Q17The value of a car depreciates by 20% at the beginning of each year. If the car costs ₦1 million, find the value of the car after 2 years.
- WAEC 2022 · Paper 1 · Q48A trader made a loss of when an article was sold. Find the ratio of the selling price to the cost price.
- WAEC 2022 · Paper 1 · Q7A weaver bought a bundle of grass for $50.00 from which he made 8 mats. If each mat was sold for $15.00, find the percentage profit.
- WAEC 2021 · Paper 1 · Q17A trader paid import duty of 38 kobo in the naira on the cost of an engine. If a total of ₦22,800.00 was paid as import duty, calculate the cost …
- WAEC 2020 · Paper 1 · Q26Fati buys milk at ₦ per tin and sells each at a profit of ₦. If she sells 10 tins of milk, how much does she receive from the sales?
- WAEC 2020 · Paper 1 · Q46A woman received a discount of on a piece of cloth she purchased from a shop. If she paid $525.00, what was the original price?
- WAEC 2020 · Paper 1 · Q7An amount of ₦550,000.00 was realised when a principal was saved at simple interest for 5 years. Find the value of .
- WAEC 2019 · Paper 1 · Q15Bala sold an article for ₦6,900.00 and made a profit of . Calculate his percentage profit if he had sold it for ₦6,600.00.
- WAEC 2019 · Paper 1 · Q27Eric sold his house through an agent who charged commission on the selling price. If Eric received $117,760.00 after the sale, what was the selling price of the house?
- JAMB 2018 · UTME · Q10A construction company is owned by two partners, and , who agree to share their profit in the ratio . At the end of the year, …
- JAMB 2018 · UTME · Q21By selling 20 oranges for ₦1.35 a trader makes a profit of . What is his percentage gain or loss if he sells the same 20 oranges for ₦1.10?
- JAMB 2018 · UTME · Q30Calculate the simple interest on ₦1,500 for 8 years at per annum.
- JAMB 2018 · UTME · Q38A baking recipe calls for of sugar and of flour. With this recipe some cakes were baked using …
- JAMB 2018 · UTME · Q39Two cars and start at the same point and travel towards a point which is away. If the average speed of is …
- JAMB 2017 · UTME · Q21A trader bought goats for ₦4000 each. He sold them for ₦180,000 at a loss of . How many goats did he buy?
- JAMB 2017 · UTME · Q26A man invested ₦5,000 for 9 months at . What is the simple interest?
- JAMB 2017 · UTME (set 2) · Q19A man covered a distance of 50 miles on his first trip. On a later trip he travelled 300 miles while going 3 times as fast. His new time compared …
- JAMB 2017 · UTME (set 2) · Q42A car dealer bought a second-hand car for ₦250,000 and spent ₦70,000 refurbishing it. He then sold the car for ₦400,000. What is the percentage …
- JAMB 2017 · UTME (set 2) · Q43Find the principal which amounts to ₦5,500 at simple interest in 5 years at per annum.
- JAMB 2016 · UTME · Q14A man bought a second-hand photocopying machine for ₦34,000. He serviced it at a cost of ₦2,000 and then sold it at a profit of . What …
- JAMB 2015 · UTME · Q8After getting a rise of , a man's new monthly salary is ₦345. How much per month did he earn before the increase?
- JAMB 2014 · UTME · Q3A woman bought a grinder for ₦60,000. She sold it at a loss of . How much did she sell it for?
- JAMB 2014 · UTME · Q5A man donates of his monthly net earnings to his church. If it amounts to ₦4,500, what is his net monthly income?
- JAMB 2013 · UTME · Q5Calculate the time taken for ₦3000 to earn ₦600 if invested at simple interest.
- JAMB 2012 · UTME · Q5A man earns ₦3,500 per month, out of which he spends on his children's education. If he spends an additional ₦1,950 on food, how much …
- JAMB 2011 · UTME · Q4A man invested ₦5,000 for 9 months at . What is the simple interest?
- JAMB 2010 · UTME · Q5At what rate will the interest on ₦400 increase to ₦24 in 3 years reckoning in simple interest?
- JAMB 2004 · UME · Q4A farmer planted 5000 grains of maize and harvested 5000 cobs, each bearing 500 grains. What is the ratio of the number of grains sowed to the …
- JAMB 2003 · UME · Q2A cinema hall contains a certain number of people. If are children, are men and 84 are women, find the number of …
- JAMB 2003 · UME · Q4A woman buys 270 oranges for ₦1,800.00 and sells them at 5 for ₦40.00. What is her profit?
- JAMB 2002 · UME · Q1A trader bought goats for ₦4,000 each. He sold them for ₦180,000 at a loss of . How many goats did he buy?
- JAMB 2001 · UME · Q2A car dealer bought a second-hand car for ₦250,000.00 and spent ₦70,000.00 refurbishing it. He then sold the car for ₦400,000.00. What is the …
- JAMB 2000 · UME · Q2If the population of a town was 240,000 in January 1998 and it increased by each year, what would be the population of the town in January …
- JAMB 2000 · UME · Q6A man wishes to keep some money in a savings deposit at compound interest so that after 3 years he can buy a car for ₦150,000. How much …
- JAMB 2000 · UME · Q8Audu bought an article for ₦50,000 and sold it to Femi at a loss of . Femi later sold the article to Oche at a profit of . If Femi …
- JAMB 1999 · UME · Q3A trader bought 100 oranges at 5 for ₦1.20; 20 oranges got spoilt and the remaining were sold at 4 for ₦1.50. Find the percentage gain or loss.
- JAMB 1998 · UME · Q6A market woman sells oil in cylindrical tins 10 cm deep and 6 cm in diameter at ₦15.00 each. If she bought a full cylindrical jug 18 cm deep …
- JAMB 1998 · UME · Q7A man is paid naira per hour for normal work and double rate for overtime. If he does a 35-hour week which includes hours of overtime, …
- JAMB 1997 · UME · Q8Find the simple interest rate per cent per annum at which ₦1000 accumulates to ₦1240 in 3 years.
- JAMB 1995 · UME · Q4A worker's present salary is ₦24,000 per annum. His annual increment is of his basic salary. What would be his annual salary at the beginning …
- JAMB 1993 · UME · Q22A man's initial salary is ₦540.00 a month and it increases after each period of six months by ₦36.00 a month. Find his salary in the eighth month …
- JAMB 1993 · UME · Q8If ₦225.00 yields ₦27.00 in years at per annum simple interest, find .
- JAMB 1992 · UME · Q13A man invested a sum of ₦280.00 partly at and partly at . If the total interest is ₦12.80 per annum, find the amount invested at .
- JAMB 1991 · UME · Q14A car travels from Calabar to Enugu, a distance of km, at an average speed of km/h, and continues to Benin, a distance of km, at …
- JAMB 1991 · UME · Q5Factory P produces 20,000 bags of cement per day while factory Q produces 15,000 bags per day. If P reduces production by and Q increases …
- JAMB 1991 · UME · Q6Musa borrows ₦10.00 at per month simple interest and repays ₦8.00 after 4 months. How much does he still owe?
- JAMB 1991 · UME · Q7If 3 gallons of spirit containing water are added to 5 gallons of another spirit containing water, what percentage of the mixture …
- JAMB 1990 · UME · Q4At what rate would a sum of ₦100.00 deposited for 5 years raise an interest of ₦7.50?
- JAMB 1989 · UME · Q7If and , evaluate .
- JAMB 1989 · UME · Q8Oke deposited ₦800.00 in the bank at the rate of simple interest. After some time the total amount was one and a half times the …
- JAMB 1988 · UME · Q5Two sisters, Taiwo and Kehinde, own a store. The ratio of Taiwo's share to Kehinde's is . Later Kehinde sells of her share …
- JAMB 1988 · UME · Q6A basket contains green, black and blue balls in the ratio . If there are 10 blue balls, find the new ratio when 10 green and 10 black …
- JAMB 1988 · UME · Q7A taxpayer is allowed of his income tax-free and pays on the remainder. If he pays ₦490.00 tax, what is his income?
- JAMB 1987 · UME · Q10By selling 20 oranges for ₦1.35 a trader makes a profit of . What is his percentage gain or loss if he sells the same 20 oranges for ₦1.10?
- JAMB 1987 · UME · Q18The formula gives the cost (in naira) of feeding people for a week. Find, in kobo, the extra cost of feeding one additional …
- JAMB 1987 · UME · Q3A rectangular lawn has an area of 1815 square yards. If its length is 50 metres, find its width in metres, given that 1 metre equals 1.1 yards.
- JAMB 1987 · UME · Q5A train moves from to at an average speed of 90 km/h and immediately returns from to along the same route at an average speed …
- JAMB 1987 · UME · Q6If the length of a square is increased by while its width is decreased by to form a rectangle, what is the ratio of the area of …
- JAMB 1987 · UME · Q7Two brothers invested a total of ₦5,000.00 in a farm project. The yield was sold for ₦15,000.00 at the end of the season. If the profit was shared …
- JAMB 1987 · UME · Q9A man invests a sum of money at per annum simple interest. After 3 years, the amount is ₦7,000.00. Find the sum invested.
- JAMB 1986 · UME · Q10A number of pencils were shared among Bisi, Sola and Tunde in the ratio . If Bisi got 5, how many were shared out?
- JAMB 1986 · UME · Q9Udoh deposited ₦150.00 in the bank. At the end of 5 years the simple interest on the principal was ₦55.00. At what rate per annum was the interest …
- JAMB 1985 · UME · Q12 of the Nigerian naira is equal to of a foreign currency M. What is the conversion rate of M to the naira?
- JAMB 1985 · UME · Q2A sum of money was invested at per annum simple interest. If after 4 years the money amounts to ₦330.00, find the amount originally invested.
- JAMB 1985 · UME · Q7If three numbers , , are in the ratio , find the value of .
- JAMB 1984 · UME · Q12A trader in a country whose currency, the Mont (M), is in base five bought oranges at each. If he sold the oranges at …
- JAMB 1984 · UME · Q4 sold his bicycle to at a profit of . sold it to for ₦209 at a loss of . How much did the bicycle cost ?
- JAMB 1984 · UME · Q5If the price of oranges is raised by k per orange, the number of oranges a customer can buy for ₦2.40 will be less by 16. What is the …
- JAMB 1984 · UME · Q6A man invested a total of ₦50,000 in two companies which pay dividends of and respectively. How much did he invest at if the …
- JAMB 1983 · UME · Q2A construction company is owned by two partners and , who agree to divide their profit in the ratio . At the end of the year, …
- JAMB 1983 · UME · Q50A man drove for 4 hours at a certain speed; he then doubled his speed and drove for another 3 hours. Altogether he covered 600 km. At what speed …