Profit And Loss Questions

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:

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

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 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 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 $10$.

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 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%?

Sukrit purchased an item for ₹650 and sold it at a profit of 26%. At what price (in ₹) did Sukrit sell the item?

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

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

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?

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:

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?

The following pie-chart shows the percentage distribution of the expenditure incurred in publishing a book. Study the pie-chart and answer the question based on it.



If the marked price of a book is set at $40\%$ above the cost price, and the marked price is $\text{₹ }280$, what is the cost of the paper used in one copy of the book?

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 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?

An item marked at ₹3,550 is offered at k% discount for ₹3,124. If the discount offered is reduced to (k−4)%, then at what price will the item be available to customers?

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 $10\%$?

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

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?

At what percentage above the cost price must an article be marked so as to gain $38\%$ after allowing a customer a discount of $8\%$ on the marked price?

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 shopkeeper marks the price of an article $25\%$ above its cost price. After allowing a $10\%$ discount on the marked price, the article is sold for $\text{₹}720$. What is the difference (in $\text{₹}$) between the cost price and marked price of the article?

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 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)?

The ratio of cost price and selling price is $15:14$, then the loss percent is:

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

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 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.

A person bought $80\text{m}$ cloth at $\text{₹}110$ per $\text{m}$ and sold $75\%$ of it at a gain of $6\%$. At what gain percent did he sell the remaining cloth, if he gained $10\%$ on his total outlay?

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

The cost price of an article is $16\%$ less than its selling price. What is the profit or loss percentage (to the nearest integer)?

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

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).

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?

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.

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 wholesaler bought an item from a manufacturer for ₹$5,000$ and sold it to a retailer at $20\%$ profit. The retailer sold it to a customer at $10\%$ profit. If the customer buys the item from the manufacturer itself, how much money (in ₹) will he save?

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)

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

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:

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

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?

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

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

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 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?

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.

A retailer gives 36% discount to his customer on the marked price of an article. In this transaction he earns a profit of 36% on the article. If the article costs ₹4,200 to the retailer, what is its marked price (in ₹)?

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

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 given bar graph shows the marked price of five different products in a showroom:


If the marked price of the laptop is $15\%$ more than its cost price and the shopkeeper offers a discount of $10\%$ on the marked price of the laptop, then find the profit $\%$ of the laptop.

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 two laptops for ₹$40,548$ each: gaining $24\%$ on one and losing $20\%$ on the other. What is his gain/loss percentage overall (correct to two decimal places)?

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%?

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?

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?

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

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?

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

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?

A person, while trading the shares of a particular company, observes that its price has gone down by 10% from the previous day. In anticipation of increment on the next day, he holds it for the next day. But the share price further falls down by another 8% of the previous day. Then he sells his shares and gets ₹12,420. How much could he have saved had he sold it the previous day?

By selling an article for ₹$165$, a trader gains $10\%$. If he sells it for ₹$153.75$, then his loss/gain per cent is:

The selling price of 84 items is equal to the cost price of 105 items. What is the percentage of profit gained 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?

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?

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?

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 $20\%$.

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?

Two articles were sold for Rs.3,000 each, with no loss and profit in the entire transaction. If one was sold at a profit of 25%, then the loss incurred on the second article is:

A shopkeeper marks his goods at such a price that even after giving a discount of $25\%$, he gains $20\%$. If the marked price of an article is ₹$992$, what is its cost price (in ₹)?

On a machine there is 12% trade discount on the marked price of ₹2,56,000, but the machine is sold for ₹2,05,000 after giving an additional cash discount. How much is this cash discount (in %)? (Rounded to the nearest whole number)

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

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)

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%?

Sujatha purchased two articles for a total of ₹1,080. By selling one at a profit of 25% and the other at a loss of 20%, she neither gains nor incurs a loss. What is the difference (in ₹) between the cost price of the two articles?

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?

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?

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.

By selling an article for ₹$380$, a man loses $24\%$. If he sells it for ₹$475$, then his loss/gain per cent is:

The difference between a gain of 15% and a loss of 9% is ₹ 768. What is the cost price of the item under consideration here?

A shopkeeper made a profit of $16\%$ on his goods. If the price at which he buys decreases by $20\%$ while he reduces his selling price by $23\%$, what is now his percentage of profit? (correct to one decimal place)

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

If $20\%$ more would be gained by selling an article for ₹ $93$ than selling it for ₹ $85$, then the cost price of the article is:

A shopkeeper sold an item for ₹495 with 10% profit. In order to earn 16% profit, by how much (in ₹) should he increase the selling price?

Note-books are bought at $16$ for $\text{₹}700$ and sold at $11$ for $\text{₹}500$. How many notebooks should be sold to gain $\text{₹}450$?

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?

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:

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 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 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?

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

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?

The marked price of a toy was ₹ 1800. Two successive discounts of 20% and 15% were offered on it during a sale. What was the selling price of the toy?