Profit And Loss Questions

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?

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:

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?

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.

Determine the list price of an item if a 20% discount on the item amounts to Rs. 50.

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:

A shopkeeper is incurring a loss of cost price of $4\text{ pens}$ while selling $20\text{ pens}$ to Ajay. If the shopkeeper had purchased $20\text{ pens}$ at $10\%$ less price and had sold $20\text{ pens}$ to Ajay at $25\%$ more than the selling price, then how much percentage would he have gained (rounded off to 1 decimal place)?

A piece of land was sold to a person through two middlemen, each gaining $25\%$. If the person purchased the land for $₹6,25,000$, the original cost (in ₹) of the land was:

A person spends $60\%$ of his income. His income increased by $30\%$ and he increased his expenditure by $20\%$. His percent savings will then be increased by:

A shopkeeper normally makes a profit of $20\%$ in a certain transaction; he weighed $900\text{ gm}$ instead of $1\text{ kg}$ due to an error in the weighing machine. If he charges $15\%$ less than what he normally charges, then what is his actual profit or loss percentage?

A trader lists his articles 26% above the cost price and allows a discount of 15% on every article. What is his gain percentage?

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?

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?

A vendor buys $20$ pens for ₹$15$ and sells them at $15$ for ₹$20$. How many pens should be bought and sold to earn a profit of ₹$245$?

A shopkeeper announced a $17\%$ rebate on the marked price of an article. If the selling price of the article is ₹$1,245$, then the marked price (in ₹) of the article is:

Ramitra purchased raw materials at a certain price for manufacturing a product. However, due to a shortage of workers, $22.5\%$ of the raw material could not be used and went to waste. $80\%$ 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 $20\%$ after allowing a discount of $20\%$, then the marked price of the product was how many times the total cost of the raw material purchased?

The cost price of 36 articles is equal to the selling price of $N$ articles. If the profit is $20\%$, then find the value of $N$.

If the selling price of a toy is
3
4
​
of its Cost Price, then the profit percentage is:

A vegetable dealer buys 50 carrots for ₹36, and sells 36 carrots for ₹50. His profit percentage (correct to one decimal place) is:

A shopkeeper offers 3 discount schemes to his customers. Which of the following schemes will provide the minimum discount percentage?
* A) Two successive discounts of $24\%$ and $27\%$.
* B) Buy 5, get 3 free.
* C) Buy 6 and get 10.

A shopkeeper allows a series of discounts of 20%, 10% and 15%. How much will a customer have to pay for the item marked at ₹1,000?

A shopkeeper sold pistachios at the rate Rs. 1140 a kg and bears a loss of 5%. Now if he decides to sell it at Rs. 1260 per kg, what will be the result?

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:

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.

S.P. of $300$ articles is equal to C.P. of $500$ articles. Find the loss or profit percentage.

A shopkeeper sold an item at 20% gain. Had he bought it ₹50 cheaper and sold it at the same price, he would have gained 25%. Find the cost price of the item (in ₹).

A merchant bought two watches for ₹ $9,000$ each. He sold one watch at a loss of $10\%$. At what price (in ₹) should he sell the other watch to earn a profit of $18\%$ overall?

A jacket is marked for $₹2,500$. A customer pays $₹1,800$ for it. If the customer got a series of two discounts and the rate of the first discount is $10\%$, then the rate of the second discount is:

The marked price of an article is $35\%$ more than its cost price. If a discount of $15\%$ is given, what will be the profit percentage?

Aarav owns a watch worth ₹ $10,000$. He sells it to Bhavin at a profit of $15\%$. After some days, Bhavin sells it back to Aarav at a $15\%$ loss. Find the percentage profit or loss faced by Aarav over the entire transaction.

Krishna bought a computer and paid 25% less than its original price. He sold it at 48% profit on the price he had paid. Find the percentage of profit earned by Krishna on the original price.

A shopkeeper offers the following three schemes:
I. Buy 9 get 1 free
II. Buy 7 get 8
III. Two successive discounts of 20% and 15%

Which scheme has the lowest discount percentage (all articles have the same marked price)?

Ansh bought a smartphone from his colleague Sameer for Rs. 45,540 such that Sameer earned a profit of 10%. Sameer bought the phone from Anita, on which Anita earned a profit of 15%. Sujata sold that phone to Anita earning a profit of 20%. At what price (in Rs.) had Sujata bought the phone?

A tradesman gives a $4\%$ discount on the marked price and gives an article free for buying every $15$ articles and thus gains $35\%$. Find out by what percentage the marked price is above the cost price.

The marked price of a T-shirt is ₹1,000. A shopkeeper offers 15% discount on the T-shirt and then again offers 20% discount on the new price. How much would the customer have to pay finally?

The annual profit percentage earned by a telephone company during the period 2015-2020 is given in the following table. The profit percentage is calculated by the difference between income and expenditure over expenditure. Study the table and answer the question that follows.

If on a marked price, the difference of selling prices with a discount of 42% and two successive discounts of 15% and 10% is Rs. 185, then the marked price is:

A person sold an item for Rs. 4,608 and earned a profit of 28%. What is the cost price of the item?

The selling price of y items is equal to the cost price of 540 items. If the profit made is 44%, then find the value of y.

If the market price of a bedsheet is 24% above the cost price and a discount of 15% is declared on it, then find the gain percentage.

On selling 2800 school bags, Anita earns a profit equal to the sale price of 420 school bags. What is the gain percentage that Anita earned?
Note: round off to two decimal places

P sells a Laptop to Q at a loss of 25% and Q sells the laptop to R at a profit of 20%. If R purchased the laptop for ₹22,500, then what was the cost (in ₹) of the laptop for P?

If the selling price of 10 chairs is the same as the cost price of 8 chairs, find the loss percentage.

If the MP is Rs. 650/− and discount is 10%, then the SP is ________

Ram buys 13 balls for Rs. 390 and sells them at the rate of Rs. 33 per ball. Find his gain percentage.

With a $5\%$ discount on the cost of sugar, a buyer could purchase $20\text{ kg}$ more sugar for $\text{Rs. }608$. What is the original selling price of sugar?

In what ratio must the two types of tea at $\text{₹}180\text{/kg}$ and $\text{₹}280\text{/kg}$ respectively be mixed so that the obtained mixture sold at $\text{₹}320\text{/kg}$ earns a profit of $20\%$?

The marked price of an item was ₹12,500. Two successive discounts of 12% each was offered on its sale. What was the selling price (in ₹) of the item?

Shyam bought a chair for ₹1,563 and spent ₹350 on its repairing. He sold it for ₹2,398. Find his profit percentage (correct to two places of decimals).

A chair is bought for ₹600 and sold for ₹750. Find the profit percentage.

The difference between the cost price and the selling price of a table lamp is ₹540. If the profit is 30%, then the selling price (in ₹) is:

Arrange the following items of statement of profit and Loss in a sequence.(A) Total Revenue(B) Revenue from Operations(C) Other Income(D) Expenses(E) Profit Before TaxChoose the correct answer from the options given below:

A shopkeeper bought a sofa-set, a centre table and a dining table for ₹15,000, ₹3,000 and ₹7,000, respectively. He sold the sofa-set at 20% profit and the centre table at 15% profit. At what profit percentage should he sell the dining table to earn 18% on the whole transaction?

The marked price of a commodity was given as ₹425 per kg. After two successive discounts of 5% and y%, respectively, the retailer purchased it for ₹323 per kg. What was the value of y?

Suraj bought 90 articles at ₹12.50 per article. He sold 60% of them at ₹15 per article and 50% of the remaining at ₹10.50 per article. At what price (in ₹) per article should he sell the remaining articles to get 20% profit in the entire transaction?

A manufacturer undertakes to supply $2000$ pieces of a particular component at $\text{₹}50$ per piece. According to his estimates, even if $5\%$ components fail to pass the quality test, then he will make a profit of $25\%$. However, as it turned out, $50\%$ of the components were rejected. Then what is the loss to the manufacturer?

The selling price of 80 items is equal to the cost price of 72 items. What is the percentage of loss incurred in the transaction?

A shopkeeper sold sarees at ₹529 each after giving an 8% discount on their marked price. Had he not given the discount, he would have earned a profit of 15% on their cost. What was the cost price (in ₹) of each saree?

A dealer advertises that he sales his goods at cost price. But he uses 950 gm for 1 kg weight. Find his gain or loss percentage.

A shopkeeper sold 6 shirts of company A for ₹4,290 at 10% profit and 8 shirts of company B for ₹6,156 at 14% profit. What was his profit percentage (correct to 2 decimal places)?

Rent payable to a partner is a/an:

If a shopkeeper gives two successive discounts of 50% and 20% on a mattress, whose marked price is ₹72,580, what would be its selling price (in ₹) and the discount (in ₹), respectively?

The list price of an article is ₹ 80. A customer pays ₹ 30 for it. He was given 2 successive discounts, one of them being 50%. What was the other discount?

A manufacturer undertakes to supply $2000\text{ pieces}$ of a particular component at $\text{₹ }50$ per piece. According to his estimates, even if $5\%$ components fail to pass the quality test, then he will make a profit of $25\%$. However, as it turned out, $50\%$ of the components were rejected. Then what is the loss to the manufacturer?

After selling $17$ books for $\text{Rs. }720$, a shopkeeper says that he incurs a loss equal to the C.P. of $5$ books. Find the C.P. of a book.

By selling a car for $\text{₹}6,400$, Mr. Rao lost $20\%$. Then the cost price of the car is:

A cloth piece was purchased for ₹ 700. At what price should it be sold to get a profit of 12.5% after a tailoring charge of ₹ 20 was paid for?

Anju sold an article to her friend Rakesh at 14% loss. If Rakesh sold it for ₹2,537 and made a profit of 18%, then the original cost price (in ₹) of the article for Anju was:

If the selling price is tripled, the profit becomes 5 times. What is the profit percent?

By selling 80 notebooks, Amrita loses an amount equal to the selling price of 10 notebooks. What is her loss per cent (to the nearest integer)?

The list price of an article was ₹735. Ravi sold it after giving a 20% discount on its list price and still made a profit of 47%. What was the cost price (in ₹) of the article?

A bought an item for ₹1,100 and sold it to B at a loss of 5%. B sold the item to C at a profit of k% for ₹1,254. Find the value of k.

A shopkeeper bought $150$ pencils at $\text{₹ }10$ each and sold them at $\text{₹ }5$ each. Calculate the total profit or loss.

A used two-wheeler-dealer sells a scooter for $\text{₹}460$ and makes some loss. If he had sold it for $\text{₹}580$, his profit would have been double of his loss. What was the cost price of the scooter?

An article was sold for $\text{₹ }1,404$ at a loss of $10\%$. Find the cost price of the article.

A toy is sold for ₹$580.80$ after giving two successive discounts, each of $x\%$. If the marked price of the article is ₹$750$, then what is the value of $x$?

Rajesh made a profit of 14% when he sold a raincoat for ₹7,980. Find the cost price of the raincoat.

A man sold an article for Rs. 644 gaining
3
1
​
rd of his outlay. Find the cost price of the article.

A shopkeeper bought $56$ dozen eggs at ₹$2.50$ per egg. $120$ eggs broke in transportation. He sold the remaining eggs at ₹$2.75$ each. What is his profit or loss per cent?

Sarika bought three shirts for her husband and paid Rs. 4,200 for all the three pieces. The shopkeeper gave her a discount of 20% on the total amount. What would be the marked price of one shirt?

An article marked for ₹30,000 is available through two discount schemes. Under scheme 1, successive discounts of 25%, 16% and 15% are offered. Under scheme 2, successive discounts of 20%, 15% and 16% are offered. Find the difference between the selling price under the two schemes.

A second-hand car was sold at a profit of $25\%$. Had it been sold for ₹$26,875$ less, the profit would have been $12\%$. What is the cost price (in ₹, to the nearest integer) of the car?

Shatish sold a music system to Karan at a 25% gain and Karan sold it to Swati at a 30% gain. If Swati paid Rs. 12,500 for the music system, what amount did Shatish pay for the same?

A salesman purchases goods at ₹1,250 and is forced to sell it at ₹1,000. Find his loss percentage.

A store announces a discount of $27\%$ and then allows another discount of $18\%$. What is the final sale price (in ₹, to the nearest integer) of a bed whose marked price is ₹$37,000$?

A shopkeeper expects a gain of 36% on his cost price. If in a month, his sale was ₹6,14,856, then what was his profit (in ₹)?

A shopkeeper allows a rebate of $12\%$ on the marked price of an article such that the selling price is $\text{Rs. }1320$. Then the marked price of the article is:

If the cost price of a table is ₹400 and the selling price is ₹600, then find the profit percentage.

A man buys oranges at $18$ for ₹$135$ and sells them at $11$ for ₹$90$. How many oranges must he sell to gain ₹$150$?

The percentage profit earned by selling an article for Rs. 2,100 is equal to the percentage loss incurred by selling the same article for Rs. 1,460. At what price should the article be sold to make 20% profit?

To clear a stock of items, a seller gives an 8% discount on the marked price. He spends ₹x on the promotion of the discount offer. His total cost of the items is ₹2,50,000 and the marked price is 10% more than the cost price. Finally, he earns no profit or no loss. What is the value of x?

Ramanna purchased raw materials for a certain price to manufacture a product. However, owing to shortage of labour, $22.5\%$ of the raw materials could not be utilised and got wasted. $80\%$ of the cost of raw materials used was added as the cost of manufacturing. If Ramanna could sell his product at a price to earn an overall profit of $20\%$ after offering a discount of $20\%$, how many times of the total cost of the raw materials purchased was the marked price of the product?

By selling a mobile phone for ₹23,856, Ramesh gains 20%. If he sells it for ₹20,580, find his gain or loss percentage (correct to two places of decimals).

A shopkeeper marks the price of his goods at 20% higher than the cost price and allows a discount of 10%. What is his profit percentage?

A shopkeeper offers $3$ schemes of discounts to his customers. Which of the following schemes will fetch the minimum discount percentage?
* Scheme A: Two successive discounts of $24\%$ and $27\%$.
* Scheme B: Buy $5$ get $3$ free.
* Scheme C: Buy $6$ and get $10$.

A dealer sells an article at a discount of 5% on the marked price. If the marked price is 20% above the cost price and the article was sold for ₹2,280, then the cost price would be:

An article was bought for $\text{₹}18,560$ and sold at a loss of $2.5\%$. What is the selling price?

Find a single discount rate percentage equivalent to the successive discounts of $10\%$, $20\%$, and $20\%$.

A shopkeeper gives a discount of about $5\%$ and still earns a profit of around $12\%$. If he does not give any discount, approximately what percentage profit will he earn?

What is the single discount equivalent to the three successive discounts of 10%, 40% and 25%?