Profit and Loss Questions

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.

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 ₹)?

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 ₹).

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

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?

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

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 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.)

What is the discount on a pair of shoes marked at $475$ and discounted at $15\%$?

A person sold a horse at a gain of $25\%$. Had he bought it for $35\%$ less and sold it for $₹732$ less, he would have made a profit of $36\%$. The cost price of the horse was :

As a result of $25\%$ hike in the price of rice per kg, a person is unable to purchase $6\text{kg}$ more rice for $₹1,200$. What was the original price of rice per kg?

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)

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?

The cost price of 27 articles is same as the selling price of 18 articles. What is the profit percent?

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?

A fruit seller buys some oranges at the rate of $4$ for $\text{₹ }10$ and an equal number more at $5$ for $\text{₹ }10$. Then he sells the whole lot at the rate of $9$ for $\text{₹ }20$. What is his loss or gain percentage?

If the cost price of $30$ tables is equal to the selling price of $40$ tables, then what is the loss percentage?

A shopkeeper allows a discount of $10\%$ on the marked price of an item but charges a sales tax of $8\%$ on the discounted price. If the customer pays $₹34,020$ as the price including the sales tax, then what is the marked price?

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:

Sabiha purchased $240$ cups for her shop at ₹$8$ each. During transportation, $24$ cups got damaged, and she sold the remaining cups at ₹$12$ each. Find her overall percentage profit.

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?

A shopkeeper buys $12$ chocolates for ₹ $6$. To gain a $20\%$ profit, how many chocolates should he sell for ₹ $6$?

By selling a table for ₹$330$, a trader gains $10\%$. Find the cost price of the table.

Successive discounts of $50\%$ and $40\%$ equal a single discount of:

A man bought a horse and a carriage for 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 wristwatch is sold for ₹2,700 at a loss of 10%. What is the cost price of the wristwatch?

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 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?

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:

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 ₹).

A trader marks his goods at $225\%$ above the cost price and offers a discount of $55\%$ on the marked price. Find his profit percentage.

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.

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

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

A shopkeeper sells goods at 82% loss on cost price but uses 28% less weight. What is his percentage profit or loss?

A man sells a cow for Rs. 22,000 and gains 10%. At what price should he sell the same cow, in order to gain 14%?

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?

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?

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?

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:

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?

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

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 $20\%$?

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 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.

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?

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?

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

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?

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)?

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?

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

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

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

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?

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?

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

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 ₹)?

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 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 $10\%$?

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?

A reduction of $20\%$ in the price of rice enables a customer to purchase $125\text{ kg}$ more for $\text{Rs. }8,000$. What is the original price of rice per kg?

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?

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

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 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?

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

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 ________

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)

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:

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?

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 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)?

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

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?

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?

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?

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

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

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 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 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?

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?

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

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

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

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 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?

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.

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

An item costs Rs. 15,000. A customer can choose either 30% discount or the "buy two get one free" offer. Jeevan chose the first offer and Rakshit chose the second offer. Find the difference in their payment for a single 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.

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