Profit And Loss Questions

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:

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 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?

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?

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?

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

The cost price of 21 articles is equal to the selling price of 15 articles. Find the gain or loss percentage.

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

Study the table and find the value for R.

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?

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

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 shopkeeper marks his goods at $160\%$ above the cost price and offers a discount of $25\%$ on the marked price. What is his profit percentage?

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)?

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

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 number is first increased by $20\%$ and then decreased by $20\%$. What is the net percentage change?

A person bought a laptop for $\text{Rs. }40,000$ and sold it at a profit of $15\%$. What is the selling price of the laptop?

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%?

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?

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 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 salesman sold an article at three-fifth of the marked price. By doing so, he gained 20%. The ratio of the marked price and the cost price of the 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 ₹)?

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

A shopkeeper sells a dozen pair of socks whose marked price is Rs. 600 at 20% discount. How many pairs of socks can be bought for Rs. 320?

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?

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?

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

A trader had 12 quintals of wheat. He sold a part of it at 13% profit and the rest at 23% profit, so that he made a total profit of 17%. How much wheat did he sell at 23% profit?

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?

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

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.

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

An article is sold for Rs. x. If it is sold at 66
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% of this price, there is a loss of 20%. What is the percentage profit when it is sold for Rs. x?

If 3 dupattas are offered free on the purchase of 6 dupattas priced Rs 1200 each, what is the effective discount on each dupatta?

The selling price of an article is $\text{Rs. }1,500$, and the loss incurred is $\text{Rs. }300$. Find the cost price and the loss percentage.

If 70% of total articles are sold at a profit of 20% and the remaining articles are sold at a loss of 20%, then what will be the overall profit 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 ₹$37,000$?

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?

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

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?

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

A wholesaler sells a watch to a retailer at a gain of $20\%$ and the retailer sells it to a customer at a loss of $10\%$. If the customer pays $\text{Rs }874.8$, what had it cost the wholesaler?

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

A shopkeeper purchased a chair whose marked price is Rs 1400, at two successive discounts of 20% and 30% respectively. If he sells the chair for Rs 1176, then what is the 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 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:

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?

At a village trade fair, a man buys a horse and a camel for a total amount of $\text{₹}5,125$. He sold the horse at a profit of $25\%$ and the camel at a loss of $20\%$. If he had sold both the animals at the same price, then the cost price of the cheaper animal was:

A shopkeeper is buying goods from a wholesaler. The wholesaler sells $1265$ units of the goods to the shopkeeper, earning a profit equal to the selling price of $165$ units of the goods. Find the profit percentage of the wholesaler.

A trader sells one item to a retailer at a $20\%$ discount, but charges $10\%$ on the discounted price, for delivery and packaging. The retailer sells it for $\text{₹}4,092$ more, thereby earning a profit of $25\%$. At what price had the trader marked the item?

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?

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

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 ₹)?

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)

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

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

A store announces a discount scheme "Buy $1$ shampoo bottle and get $60\%$ discount on another shampoo of the same quality, size and same price." If the cost price of each shampoo bottle is $60\%$ less than the marked price then what is the profit percentage of the store?

Abhishek marks the price of his laptop 60% above the cost price. If he gives a discount of 30% on the marked price, then what is the 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?

Manik marks the price of his toys $40\%$ above the cost price. If he allows a $20\%$ discount, then what is the profit or loss percentage?

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 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 $40\%$?

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 shopkeeper gives a discount of $25\%$ on the marked price of an article. If the selling price of the article is ₹$150$, find its marked price.

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)?

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 TV manufacturer sells an item to a wholesaler at a profit of $8\%$. The wholesaler sells it to a retailer at a profit of $10\%$. The retailer in turn sells it to the customer for ₹$11,050$ making a profit of $15\%$. What is the manufacturer's purchasing price? (Assume only whole numbers)

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%?

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

The cost price of $72$ books is equal to the selling price of $60$ books. What is the gain percent?

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

A 20% discount is offered on an item. By applying a promo code, the customer wins a 30% cashback. What is the effective discount?

A merchant buys an article for ₹ $18,960$ and sells it at a $15\%$ loss. What is the selling price of the article?

A shopkeeper sets the marked price of his goods at $25\%$ above the cost price. To attract customers, he offers a discount of $10\%$ on the marked price. Calculate the percentage of profit the shopkeeper makes on selling the goods after allowing the discount.

Some articles were marked $25\%$ above their cost price. One of such articles was sold at $20\%$ profit on the marked price and the other one was sold at $10\%$ loss on the marked price. Find the overall percentage profit.

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?

$18$ articles were sold at an average price of $\text{Rs. }15$. The cost price of $12$ articles was $\text{Rs. }16$ each. Find the cost price of each of the remaining $6$ articles if there was no profit/loss in the transaction.

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

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?

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:

Marked price of an item is Rs 500. On purchase of 2 items discount is 8%, on purchase of 3 items discount is 16%. Radha buys 5 items, what is the effective discount?

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 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 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 bought a television for ₹ $15,400$ and sold it for ₹ $18,060$. Calculate the profit and profit percentage.

A man buys 120 toys each at the same cost price. He sells 45% of the toys at 40% profit, one-third of the remaining at 20% profit, and the remaining at a loss which is equal to the cost price of 14 toys. His profit per cent in the entire transaction is:

A retailer bought $7$ articles for $\text{Rs. }10$ each, $9$ articles for $\text{Rs. }11$ each, and $14$ articles for $\text{Rs. }15each$. Find the selling price per article if the profit is supposed to be $20\%$ of the average cost 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 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?

A watch is sold at a profit of 25%. If both the cost price and the selling price of the watch are decreased by Rs. 75, then the profit would be 30%. The original selling price (in Rs.) of the watch is:

A trader sells an item for Rs. 516.60 after offering a discount of 18% on its list price. Had he not given the discount, he would have earned a profit of 26%. What is the cost price (in Rs.) of the item?

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?

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

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.

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

If the marked price of a 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 percentage of the laptop.

A sells an article to B at a gain of 16%, B sells it to C at a loss of 15%, and C sells it to D at a gain of 20%. If the difference between the profits earned by C and A is Rs. 248, then the loss (in Rs.) incurred by B is:

What is the selling price of a calculator if a shopkeeper allows two successive discounts of 7% each on its marked price of Rs. 500?