Profit and Loss Questions

If the loss incurred on selling an article is $23\%$, then what will be the ratio of its cost price and selling price?

Marked price of an item is Rs 200. On purchase of 1 item discount is 22%, on purchase of 4 items discount is 33%. Rabia buys 5 items, what is the effective discount?

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?

To gain $8\%$ after allowing a discount of $10\%$, by what percent must the marked price be hiked from the cost price?

On selling an article for $\text{₹}1,700$, a shopkeeper loses $15\%$. To gain $20\%$, at what price must he sell that article?

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:

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

A book vendor sold a book at a loss of $10\%$. Had he sold it for $\text{₹}1,080$ more, he would have earned a profit of $10\%$. Find out the cost of the book.

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 ₹$37,000$?

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?

An article is marked $40\%$ above the cost price. If a discount of $x\%$ is given on the marked price of the article, then a final profit of $12\%$ is obtained. Now if the C.P. of a new article is $\text{Rs. }2,400$ and $x\%$ profit is desired, then what should be the selling price of that new article?

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

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 ₹)?

At a 19% discount, the selling price of a freezer is Rs 24000. What is the selling price if the discount is 32.5%?

Arun bought a cycle for $\text{Rs. }800$ and then sold it for $\text{Rs. }920$. What is his profit percentage?

A shopkeeper allows a discount of $10\%$ on an item. How much per cent above the cost price should he mark his goods to make a profit of $10\%$?

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?

A cloth piece was purchased for $\text{Rs. }600$. At what price should it be sold to get a profit of $12.5\%$ after tailoring charges of $\text{Rs. }40$ were paid for?

An article was bought for $\text{Rs. }2,500$. A seller allows a discount of $12\%$ on its marked price and still gains $10\%$. Find the marked price of the article.

The selling price of a chair is $\frac{46}{25}$ times its cost price. What is the gain percentage in the transaction?

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 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?

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?

The cost price of an article is ₹120. A dealer marks it $35\%$ above its cost price. If he sells it after giving a $15\%$ discount on its marked price, then his profit per cent is?

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:

A vendor bought 15 kg of rice at a certain rate per kg. After a week, he sold 6 kg of the rice at 20% profit, 6 kg at neither profit nor loss and 3 kg at 10% loss. In this transaction, what is his profit percentage?

Reyan purchased a laptop for ₹56,000 and a scanner-cum-printer for ₹22,000. He sold the laptop for a 20% profit and the scanner-cum-printer for a 15% profit. What is his overall profit percentage?

A sells a washing machine to B at a $15\%$ loss. B sells it for ₹6,120 and gains $20\%$. What is the cost price (in ₹) of the washing machine for A?

A wrist watch was purchased for ₹3,000 and sold for ₹3,500. Find the profit percentage.

If the selling price of 45 articles is equal to the cost price of 50 articles, the loss or gain percentage is:

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?

By selling $20$ items, a shopkeeper gets a profit equal to the selling price of $5$ items. What is his profit percentage?

A businessman bought two types of rice at the rate of Rs. $120/\text{kg}$ and Rs. $220/\text{kg}$. How much rice (in kg) of the first type should be mixed with $72\text{kg}$ of rice of the second type so that the resulting mixture can be sold at Rs. $280/\text{kg}$ to earn a profit of $40\%$?

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

Which of the following schemes will yield maximum discount on purchase of ₹x?
2 successive discounts of 25% and 15%

Single discount of 20%

2 free on purchase of 3 items

3 free on purchase of 7 items

A bought oranges at 20 for ₹50 and sold at 10 for ₹30. What is his profit percentage?

Yashwant buys candies at 15 for Rs. 40 and sells them at 30 for Rs. 50. What is his gain or loss percent?

Oranges are purchased at the rate of 7 oranges for Rs. 3. At what price one hundred oranges should be sold so that the profit is 33%?

Reena makes a profit of 20% by selling pens at a certain price. If she charges ₹5 more on each pen, she will gain 40%. The initial selling price of one pen was:

A dealer allows his customers a discount of 25% and still gains 25%. If an article costs Rs. 1600 to the dealer, then its marked price (nearest to one rupee) is:

By selling a tape-recorder for $\text{Rs. }1900$, I lost $5\%$. What percent shall I gain by selling it for $\text{Rs. }2080$?

Suresh sells a pen at ₹ 120 for
3
100
​
% profit. At what price should he sell it to gain 40%?

The percentage profit earned by selling an article for ₹1,910 is equal to the percentage loss incurred by selling the same article for ₹1,690. At what price (in ₹) should the article be sold to make a 12% profit?

A discount of 30% on the marked price of a shirt enables a man to purchase a tie also, which costs him ₹ 210. How much did the man pay for the shirt?

Mukesh sells almonds at the cost price but uses a false weight and thus gains a 23% profit. How many grams of almonds is he giving for 3.075kg?

A pen drive was sold at a price after giving two successive discounts of 30% and 20%. If the selling price of the item was ₹ 560, then what was the marked price of the pen drive?

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)?

A shopkeeper gives a discount of 15% on the marked price of an article. If the selling price is ₹8,500, then the discount on it will be ________

The cost price of 120 bags is ₹ 15 each. 40 of them were sold for ₹ 18 each. At what price should the remaining be sold in order to get an overall profit of ₹ 4 per bag?

After giving two successive discounts of 30% and 40% on the marked price, an article is sold for Rs. 420. Find the marked price of the article.

Rameshwar sold a bike at a loss of 15%. If the selling price had been increased by ₹3,375, there would have been a gain of 12%. Find the cost price of the bike.

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)?

A shopkeeper offers 25% discount on all the toys. He offers a further discount of 5% on the reduced price to those customers who pay in cash. How much does a customer have to pay (in ₹) in cash for a toy of ₹510? (Correct to two decimal places)

Rashid sells a book at a gain of 20%. If he had sold it at ₹34.51 more, he would have gained 37%. The cost price (in ₹) of the book is:

An article is listed at $\text{Rs. }900$. A customer pays $\text{Rs. }726.75$ for it after getting two successive discounts. If the rate of first discount is $15\%$, the rate of the second discount is ______.

A trader marks his goods at 35% above the cost price. He sells 80% of the goods at the marked price and rest, he sells by allowing 35% discount on the marked price. His profit percent is:

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 a person sells a pen drive for Rs. 3192, making a profit of 33%, then the cost price (in Rs.) of the pen drive 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?

An iron costing ₹758 was sold by Ramesh at a gain of 15%, and it was again sold by Reena, who bought it from Ramesh, at a loss of 8%. Find the selling price of the iron for Reena (correct to two places of decimals).

Rama sold a car costing ₹4,00,000 to Sansar at a loss of 20%. What is the selling price (in ₹)?

The marked price of a fancy toy is ₹30,000. It is to be sold allowing two successive discounts of 20% and 24%, respectively. On cash payment, an additional 10% discount on the net price is also given. The selling price (in ₹) of the toy is:

A man sold 30 articles for Rs. 100 and gained 20%. The number of articles he bought for Rs. 100 was:

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.

A store is running a scheme for offering a discount of 12% if the customer pays instantly, and a discount of 6% if purchased through credit card. The benefit of the scheme may be split on the amount of payment, however only one discount shall be given on one item. There is no discount on any other type of transaction. Ankur purchased a shirt from the store, whose marked price was ₹2,200, through credit card and paid instantly for the purchase of a coat marked at ₹7,500. What was the total amount (in ₹) billed?

After getting two successive discounts, Seema got a shirt at Rs. 153, for which the marked price was Rs. 200. If the second discount was 15%, the first discount was:

An article was sold for Rs. 1,215 after giving a discount of 19%. If a discount of 17.5% is given, then for how much (in Rs.) should the article be sold?

A person bought bananas at 6 for ₹12 and sold them at 8for₹10. Find his gain or loss percentage?

Jagat Singh sold an article for Rs. 6,000 and incurred a loss. Had he sold it for Rs. 7,400, his profit would have been
3
2
​
of the amount of loss that he incurred. At what price should he sell it to gain 25% profit?

On selling an article for Rs. 984, Arun loses 18%. In order to gain 15%, he must sell it for:

A dairyman pays $6.4$ per litre of milk. He then adds water in the milk and sells the mixture at $8$ per litre, thereby making a $37.5\%$ profit. What is the proportion of water to milk, in the milk received by the customers?

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 $x$?

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

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

A coat marked at ₹145 is offered at ₹127.6. The rate of retail discount offered is:

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.

The cost price of 10 apples is equal to the selling price of 20 apples. Find the loss or gain percentage.

A shopkeeper marks his goods 40% above their cost price. He sells 60% of the goods at the marked price and the remaining at 65% discount on the marked price. His gain/loss in the whole transaction is:

An item is sold at two successive discounts of $20\%$ and $20\%$. The selling price of the article after the two discounts is $\text{Rs }1280$. If it is sold only at one discount of $30\%$, then what will be the selling price (in $\text{Rs}$) of the article?

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

A vendor buys oranges at the rate of 5 for Rs 6 and sells at the rate of 2 for Rs 3. What will be the result?

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?

The printed price of an article is $40\%$ higher than its cost price. Then, what is the rate of discount so that the gain is $12\%$ profit?

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 trader marked the price of a commodity to include a profit of $25\%$ but allowed a discount of $16\%$ on the marked price. What will be his actual profit?

A man bought a horse and a carriage for $\text{Rs. }80,000$. He sold the horse at a gain of $10\%$ and the carriage at a loss of $5\%$. He gained $1\%$ on his whole transaction. What is the cost price of the horse?

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

If $7\%$ of S.P. is equal to $8\%$ of C.P. and if $9\%$ of S.P. is $\text{Rs. }2$ more than $10\%$ of C.P, then find C.P. and S.P.:

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 total cost of a refrigerator with an oven was Rs 12000. The oven was sold at a profit of 20% and the refrigerator at a loss of 28%. If the sale price was the same in both the items, then the cost price of the cheaper item was:

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

An article was sold for $\text{Rs. }2,288$ at a discount of $20\%$ after $2$ successive mark-ups of $10\%$ and $30\%$. Find the cost price of the article.

A dealer allows his customers a discount of 20% and still gains 20%. If the cost price of an article is Rs. 960, what is its marked price (in Rs.)?

A tradesman marked his goods at 26% above its cost price and then allowed a discount of 13%. His gain (in %) is:

By selling an item for Rs. 3,750 a shopkeeper earned 25% profit. If the item had been sold for Rs. 300 more, then what would have been the profit percentage of the shopkeeper?

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?

The increase in the price of a certain item was $25\%$. Then the price was decreased by $20\%$ and then again increased by $10\%$. What is the resultant increase in the price?

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?

The price of petrol rises from Rs. 80 to Rs. 100. What is the percentage increase in price?

A shopkeeper bought an item for Rs. 4,500 and sold it at a loss of 5%. From this money, he bought another item and sold it at a profit of 10%. What is his overall profit?