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Profit And Loss Questions

Practice 465 Profit And Loss questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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465
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31
Easy
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424
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10
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Practice by Exam:Quantitative Aptitude(432)Mathematics(13)Mathematics and Science(4)Quantitative Aptitude@NUM: 73(3)Numerical Ability(2)CUET Accountancy(1)Data Interpretation(1)Quantitative Aptitude@NUM: 51(1)

About Profit and Loss — practice questions, PYQs & concepts

Profit and Loss is a frequently-tested topic on Quantitative Aptitude, Mathematics, Mathematics and Science. ExamTest.live currently lists 465 Profit and Loss questions spanning previous-year papers from 2017 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year — every answer key is free, no sign-up required.

Profit and Loss weight in competitive exams

Across our Profit and Loss question bank, the largest sources are Quantitative Aptitude (432), Mathematics (13), Mathematics and Science (4), Quantitative Aptitude@NUM: 73 (3) and Numerical Ability (2). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 31 easy Profit and Loss questions are available — build fluency before moving up.
  • Target weak years: Use the year filter to focus on the most recent 2026 paper or older PYQs you have not attempted.
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  • Read every explanation: Even on questions you got right — the explanation often surfaces a faster approach you can reuse.

All Profit And Loss Questions(1–100 of 465)

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Q1easymcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
8% accuracy
By reducing the selling price of an article by ₹, a profit of turns into a loss of . The original selling price of the article (in ₹) is:
Q2easymcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
3% accuracy
When an article is sold for ₹, there is a loss of . The cost price of the article (in ₹) is:
Q3easymcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
19% accuracy
A text book is marked at ₹ and is sold for ₹. What is the percentage of discount?
Q4mediummcqQuantitative AptitudeCompetitive Exam2026
14% accuracy
A dealer sells an article at ₹850 after offering a cash discount of 15% on its marked price. Without discount, he would have earned a profit of 25%. What is the cost price of the article (in ₹)?
Q5mediummcqQuantitative AptitudeCompetitive Exam2026
14% accuracy
A shopkeeper purchased groundnuts at ₹64/kg and sells at ₹80/kg. While selling, he uses faulty weights and gives 800 gm instead of 1 kg. Find his actual profit percentage.
Q6mediummcqQuantitative AptitudeCompetitive Exam2026
14% accuracy
By selling a hair oil product for ₹336, the gain is 12%. If the gain is reduced to 9%, find the resultant selling price (in ₹).
Q7mediummcqQuantitative AptitudeStaff Selection Commission2026
0% accuracy
The total cost of a washing machine with a toaster was Rs 10500. The toaster was sold at a profit of 22% and the washing machine at a loss of 12%. If the sale price was the same for both items, then the cost price of the cheaper item was:
Q8mediummcqQuantitative AptitudeStaff Selection Commission2026
20% accuracy
A 20% discount is offered on an item. By applying a promo code, the customer wins 15% cashback. What is the effective discount?
Q9mediummcqQuantitative AptitudeCompetitive Exam2026
25% accuracy
A customer paid Rs. 306 for an item after availing successive discounts of 10% and 15%. What is the marked price of the item (in Rs.)?
Q10mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
After a price increase of 23%, a television set costs Rs. 56,703. What was its original price (in Rs.)?
Q11mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
A sold an article to B at 10% loss, B sold it to C at 15% profit and C sold it to D at 10% profit. If D bought it for Rs. 4,554, then what was the cost price (in Rs.) of A?
Q12mediummcqQuantitative AptitudeSSC CGL2026
50% accuracy
A retailer offers the following discount schemes for buyers on an item.
i) Two successive discount of 20%.
ii) A discount of 25% followed by a discount of 15%.
iii) A discount of 40%.
Under which scheme(s) will the selling price be minimum?
Q13mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
A sold an article to B at 25% profit, B sold it to C at a 12% loss. If C paid Rs. 1,815 for the article, how much (in Rs.) did A pay for the article?
Q14mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The three successive discounts of 18%, 12% and 10% is equivalent to a single discount of:
Q15mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
Mukesh sells 80% part of a commodity at a profit of 20% and rest of the part at a loss of 5% and in this way earns a profit of ₹9,300. What was the cost price of the commodity for Mukesh?
Q16mediummcqQuantitative AptitudeCompetitive Exam2026
25% accuracy
A merchant purchased 650kg of wheat at Rs. 50 per kg. He sold 250kg of it at a profit of 24% and 200kg at a loss of 24%. At what rate per kg (in Rs.) should he sell the remaining wheat to gain 20% on his initial investment?
Q17mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
To gain after allowing a discount of , by what percent must the marked price be hiked from the cost price?
Q18mediummcqQuantitative AptitudeSSC CGL2026
33% accuracy
A trader had 6 quintals of wheat. He sold a part of it at 7% profit and the rest at 17% profit, so that he made a total profit of 11%. How much wheat did he sell at 17% profit?
Q19mediummcqQuantitative AptitudeCompetitive Exam 20262026
0% accuracy
On two items of equal prices, T gets 12% profit on one item and incurs 8% loss on other. What is his overall profit or loss percentage?
Q20mediummcqQuantitative AptitudeCompetitive Exam 20262026
0% accuracy
On an item there is 8% discount on the marked price of ₹32,000. After giving an additional season's discount, the item is sold for ₹25,000. How much is the season's discount (in %)? (Correct to two places of decimal)
Q21mediummcqQuantitative AptitudeSSC CGL2026
33% accuracy
P buys an article for Rs. 280 and sells it to Q at a profit of 25%. Q sells it to R at some profit. R sells it to S for Rs. 560 making a profit of 40%. What percentage profit (rounded off to the nearest integer) did Q make?
Q22mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
A 15% discount is allowed by a tradesman. How much above the cost price (in percentage) must he mark his goods so as to gain 19%?
Q23mediummcqQuantitative AptitudeCompetitive Exam 20262026
0% accuracy
A dishonest dealer professes to sell grains at cost price, but he uses a weight of 925g for 1kg weight. Find his gain percentage. (Approximate to two decimals.)
Q24mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
A multi-store outlet sold 1375 items in a week earning 25% gain. The total gain is also equal to the selling price of 'Q' number of items. What is the value of Q?
Q25mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
By selling a table for ₹, a trader gains . Find the cost price of the table.
Q26mediummcqQuantitative AptitudeCompetitive Exam Practice2026
33% accuracy
Sabiha purchased cups for her shop at ₹ each. During transportation, cups got damaged, and she sold the remaining cups at ₹ each. Find her overall percentage profit.
Q27mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
A book vendor sold a book at a loss of . Had he sold it for more, he would have earned a profit of . Find out the cost of the book.
Q28hardmcqQuantitative AptitudeSSC CGL2026
0% accuracy
A vendor buys 20 laptop bags for ₹13,000 and sells them at 15 for ₹10,125. How many laptop bags should be bought and sold to earn a profit of ₹3,225?
Q29mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
A tractor manufacturing company sells each tractor for ₹5,00,000. Assuming that KISAN firm buys 50 tractors from them as a part of an annual contract, the company offers a trade discount of 10% to KISAN and an additional 2% discount if the payment is made within 30 days. What will be the amount payable by KISAN within 30 days for the consignment?
Q30mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The printed price of an article is higher than its cost price. Then, what is the rate of discount so that the gain is profit?
Q31mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
If a merchant offers a discount of 30% on the list price, then he makes a loss of 16%. What % profit or % loss will he make if he sells at a discount of 20% of the list price?
Q32mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
On selling an article for , a shopkeeper loses . To gain , at what price must he sell that article?
Q33easymcqQuantitative AptitudeSSC CGL2026
0% accuracy
An old HP Deskjet printer was bought for ₹4,800 and ₹500 was spent on its repair. If it was sold for ₹6,360, then its profit percentage is:
Q34easymcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
A person buys a table fan for Rs. 1,800 and sells it at a loss of 25%. What is the selling price of the table fan?
Q35mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
Refer the below data table and answer the following Question.
Q36mediummcqQuantitative AptitudeSSC Selection Post 2018 Higher Secondary Level2026
0% accuracy
एक व्यक्ति एक वस्तु को प्रा रंभिरं भिक मूल्य पर 20% ला भ के सा थ 360 रुपये में बेचता है। वस्तु का क्रय मूल्य क्या था ?
Q37mediummcqQuantitative AptitudeSSC Selection Post 2018 Higher Secondary Level2026
0% accuracy
एक व्यक्ति ने प्रा रंभिरं भिक मूल्य पर 20% की हा नि पर 200 रुपये में एक बैग बेचा । बैग का क्रय मूल्य क्या था ?
Q38mediummcqQuantitative AptitudeSSC Selection Post 2018 Higher Secondary Level2026
0% accuracy
एक वस्तु का क्रय मूल्य 150 रुपये था , और इसे 30% के ला भ में बेचा गया । वस्तु का वि क्रय मूल्य क्या था ?
Q39mediummcqQuantitative AptitudeCompetitive Exam2026
50% accuracy
If the cost price of tables is equal to the selling price of tables, then what is the loss percentage?
Q40mediummcqQuantitative AptitudeCompetitive Exam2026
50% accuracy
A fruit seller buys some oranges at the rate of for and an equal number more at for . Then he sells the whole lot at the rate of for . What is his loss or gain percentage?
Q41easymcqQuantitative AptitudeSSC CGL2026
50% accuracy
Sukrit purchased an item for ₹650 and sold it at a profit of 26%. At what price (in ₹) did Sukrit sell the item?
Q42hardmcqQuantitative AptitudeSSC CGL2026
0% accuracy
During the lockdown, a state government gives 4.5 kg of rice to each person of a family at a cost price of ₹40 per kg. But the distributor uses a false weight of 3.75 kg instead of 4.5 kg and distributes the rice. The accumulated rice was sold in the black market at double the price. He showed the government that he distributed 2700 kg of rice. When caught, he was made to pay a fine of 125% of what he earned in the black market. What was his fine amount?
Q43hardmcqQuantitative AptitudeSSC CGL2026
0% accuracy
A dealer buys an article listed at ₹250 and gets successive discounts of 12% and 16%. He spends 10% of the cost price on transportation. At what price should he sell the article to earn a profit of 25%? (Correct to two places of decimal)
Q44mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
An article was sold for ₹ 4,000. Had a discount of 10% was being offered, the profit would have been 20%. The cost price of the article was:
Q45easymcqQuantitative AptitudeCompetitive Exam Practice Paper2026
0% accuracy
What is the discount on a pair of shoes marked at and discounted at ?
Q46mediummcqQuantitative AptitudeCompetitive Exam Practice Paper2026
0% accuracy
A shopkeeper allows a discount of on the marked price of an item but charges a sales tax of on the discounted price. If the customer pays as the price including the sales tax, then what is the marked price?
Q47mediummcqQuantitative AptitudeCompetitive Exam Practice Paper2026
0% accuracy
A person sold a horse at a gain of . Had he bought it for less and sold it for less, he would have made a profit of . The cost price of the horse was :
Q48mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
When a discount of 20% is given on a monthly train pass, the profit is 44%. If the discount is 29%, then the profit is ________.
Q49mediummcqQuantitative AptitudeSSC CGL2026
50% accuracy
A 20% discount is offered on an item. By applying a promo code, the customer wins a 10% cashback. What is the effective discount?
Q50mediummcqQuantitative AptitudeSSC CGL2026
50% accuracy
A shopkeeper by selling 11 Tag Heuer watches, earns a profit equal to the selling price of 3 Tag Heuer watches. His profit percentage is:
Q51mediummcqQuantitative AptitudeCompetitive Exam Practice Paper2026
0% accuracy
As a result of hike in the price of rice per kg, a person is unable to purchase more rice for . What was the original price of rice per kg?
Q52mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The cost price of 27 articles is same as the selling price of 18 articles. What is the profit percent?
Q53mediummcqQuantitative AptitudeCompetitive Exam2026
50% accuracy
A dishonest dealer defrauds his seller and buyer by using forged weights to the extent of 20%. His true gain per cent is
Q54mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
At 10% discount, the selling price of a grinder is Rs 48000. What is the selling price if the discount is 25%?
Q55mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
A discount of 20% in the price of rice enables X to buy 5kg more rice for ₹ 100. What is the reduced price of rice per kg?
Q56easymcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
0% accuracy
By selling a wall clock for ₹3,034, a shopkeeper loses 18%. If he wishes to make a profit of 18%, what should be the selling price (in ₹) of the clock?
Q57mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
Successive discounts of and equal a single discount of:
Q58easymcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
0% accuracy
The cost price of a shirt is ₹450. A shopkeeper marks its price in such a way that he earns a profit of 24% after giving 25% discount on its marked price. The marked price (in ₹) of the shirt is:
Q59mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
A man bought a horse and a carriage for Rs. . He sold the horse at a gain of and the carriage at a loss of . He gained on his whole transaction. What is the cost price of the horse?
Q60easymcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
A merchant purchases a smartwatch for ₹1,800 and fixes its list price in such a way that, after allowing a discount of , he earns a profit of . The list price of the smartwatch (in ₹) is:
Q61mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
If of S.P. is equal to of C.P. and if of S.P. is Rs. 2 more than of C.P., then find C.P. and S.P.:
Q62mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
An article is marked above the cost price. If a discount of is given on the marked price of the article, then a final profit of is obtained. Now if C.P. of a new article is and profit is desired then what should be the selling price of that new article?
Q63mediummcqQuantitative AptitudeStaff Selection Commission2026
0% accuracy
Three articles are bought at Rs. 400 each. One of them is sold at a loss of 10%. If the other two articles are sold so as to gain 20% on the whole transaction, then what is the gain percentage on the two articles?
Q64mediummcqQuantitative AptitudeStaff Selection Commission2026
100% accuracy
The marked price of an article is Rs. 600. If a shopkeeper gives two successive discounts of 20% and 10% on the marked price of the article, how much would be the selling price (in Rs.) of the article?
Q65mediummcqQuantitative AptitudeStaff Selection Commission2026
0% accuracy
By selling an article for Rs. 1,008, A suffers as much loss as she would have gained by selling it at a 20% profit. If she sells it for Rs. 1,354.50, then her profit percentage is:
Q66mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
If the selling price of an item is Rs 1150 after getting a discount of 8%, what is its marked price?
Q67mediummcqQuantitative AptitudeCompetitive Exam2026
100% accuracy
Muskan buys two kg of pulses for ₹400 and sells it for ₹440. She also uses a weight of instead of (or ). What is Muskan’s actual profit percentage?
Q68mediummcqQuantitative AptitudeStaff Selection Commission2026
0% accuracy
The marked price of an article is Rs. 530. After two successive discounts, it is sold for Rs. 396.44. If the first discount is x% and the second discount is 15%, then what is the value of x?
Q69mediummcqQuantitative AptitudeStaff Selection Commission2026
0% accuracy
A vendor bought 60 kg of sugar at the rate of Rs. 25/kg. He sold 60% of the total quantity at the rate of Rs. 30/kg. At what price/kg (in Rs.) should he sell the remaining quantity to make 30% overall profit?
Q70mediummcqQuantitative AptitudeCompetitive Exam2026
100% accuracy
Victoria purchased items that had a combined marked price of \ 400,000 10\% 5\% 2\% \ and paid the remaining balance via credit card, how much did she pay via credit card including surcharges?
Q71mediummcqQuantitative AptitudeSSC Selection Post 20212026
0% accuracy
A shopkeeper sells an item for ₹462 after offering a discount of 25% on its list price. Had he not offered any discount he would have earned a profit of 10%. What is the cost price (in ₹) of the article?
Q72mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
A piece of land was sold to a person through two middlemen, each gaining . If the person purchased the land for , the original cost (in ₹) of the land was:
Q73mediummcqQuantitative AptitudeSSC Selection Post 20212026
0% accuracy
A shopkeeper offers successive discounts of 18% and 15% and sells the item for ₹34,850. What is its marked price (in ₹)?
Q74mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
The cost price of two articles A and B is the same. Article A is sold at a loss of 24% and article B is sold for Rs. 270 more than the selling price of A. If the net profit by selling both the articles is 12%, then what is the selling price (in Rs.) of article B?
Q75mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
A dealer marks an article 40% above its cost price, and sells it by giving two successive discounts of 15% and 25% on the marked price. If he suffers a loss of Rs. 43, then the marked price (in Rs.) of the article is:
Q76mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
A shopkeeper is incurring a loss of cost price of while selling to Ajay. If the shopkeeper had purchased at less price and had sold to Ajay at more than the selling price, then how much percentage would he have gained (rounded off to 1 decimal place)?
Q77mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
A shopkeeper fixes the selling price of an article 20% above its cost. If the cost price increases by 20% and he increases the selling price by 16%, then his profit percentage (on the increased cost) is:
Q78mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
A shopkeeper purchases supplies from a supplier. The supplier sells 750 units of bags to the shopkeeper after gaining the sale price of 125 units of bags. What is the gain percentage of the supplier?
Q79mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
A businessman marks up the price of his goods by 25% and gives a discount of 5% to the customer. He also uses a 950gm weight instead of a 1000gm weight. Find his overall profit percentage.
Q80mediummcqQuantitative AptitudeSSC Selection Post 20212026
0% accuracy
If the selling price of 30 articles is equal to the cost price of 45 articles, the loss or gain per cent is:
Q81mediummcqData InterpretationCompetitive Exam2026
0% accuracy
The following graph shows the income and expenditure of a company. Study the graph carefully and answer the question based on the graph.
[Note: In the standard reference data for this specific problem, the values are as follows:
For 2015: Income = Rs. 60 lacs, Expenditure = Rs. 40 lacs
For 2016: Income = Rs. 65 lacs, Expenditure = Rs. 30 lacs]

The difference between the profits in 2015 and 2016 is:

image
Q82mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
Determine the list price of an item if a 20% discount on the item amounts to Rs. 50.
Q83mediummcqQuantitative AptitudeSSC Selection Post 20212026
0% accuracy
A vendor sells a refrigerator for a sum of money which is
25
18
​
of its cost price. What is his loss or profit percentage?
Q84mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
If the selling price of a toy is
3
4
​
of its Cost Price, then the profit percentage is:
Q85mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
A man buys milk at ₹50 per litre and adds to it water equal to one-third of the milk. If he sells it at ₹60 per litre, then find his profit percentage.
Q86mediummcqQuantitative AptitudeSSC Selection Post 20212026
0% accuracy
A man sold an article for ₹9,700 and earned a profit of 25%. What would have been his profit or loss per cent (to the nearest integer), had he sold it for ₹8,400?
Q87mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
A trader lists his articles 26% above the cost price and allows a discount of 15% on every article. What is his gain percentage?
Q88mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
A shopkeeper buys chocolates for ₹ . To gain a profit, how many chocolates should he sell for ₹ ?
Q89mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
A wholesaler sells a watch to a retailer at a profit of 25% and the retailer sells it to a customer at a loss of 12%. If the customer pays Rs 1045, what had it cost the wholesaler?
Q90mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
Yusuf purchased an item for ₹5,500 and sold it at a profit of 15%. From that amount, he purchased another item and sold it at 12% profit. What is his overall gain?
Q91mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
A trader marks his goods at above the cost price and offers a discount of on the marked price. Find his profit percentage.
Q92mediummcqQuantitative AptitudeSSC CPO 20242026
0% accuracy
Find the single equivalent discount percentage corresponding to three successive discounts of , , and .
Q93mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
A wristwatch is sold for ₹2,700 at a loss of 10%. What is the cost price of the wristwatch?
Q94mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The ratio of the cost price of an article to its selling price is 432:612. The profit percentage (rounded off to 2 decimal places) on it is:
Q95mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
A shopkeeper offers a cash discount of ₹275 first and then three successive discounts of 10%, 8% and 5% on the sale of a laptop. If the marked price of the laptop is ₹85,275, find its price for a customer.
Q96mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
Sachin purchases a watch from a dealer at some price and sells it at 20% profit. The next day he purchases the same watch and marks up the price by 75% and offers a discount of 30%. What is the change in the percentage in the profit that Sachin receives on day 2?
Q97easymcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
A shopkeeper charges his customer 23% more than the cost price. If a customer paid ₹30,135 for a dining table, then find its original price (in ₹).
Q98mediummcqQuantitative AptitudePrepp2026
0% accuracy
Ramitra purchased raw materials at a certain price for manufacturing a product. However, due to a shortage of workers, of the raw material could not be used and went to waste. of the cost of the used raw material was added as manufacturing cost. If Ramitra can sell her product to earn an overall profit of after allowing a discount of , then the marked price of the product was how many times the total cost of the raw material purchased?
Q99mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
A shopkeeper announced a rebate on the marked price of an article. If the selling price of the article is ₹, then the marked price (in ₹) of the article is:
Q100mediummcqQuantitative AptitudePrepp2026
0% accuracy
The cost price of 36 articles is equal to the selling price of articles. If the profit is , then find the value of .
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