Profit And Loss Questions

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%?

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 wrist watch was purchased for ₹3,000 and sold for ₹3,500. 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

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

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?

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%?

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:

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

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?

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

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

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?

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 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 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?

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:

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

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 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)

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?

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 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?

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 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?

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

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

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 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).

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:

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

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?

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 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 ________

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?

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

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

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)

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 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?

The cost price of milk is increased to ₹62 from ₹60. The milkman sold milk at 10% profit earlier. What is his profit now if he sells milk at the same rate?

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?

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.)?

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

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?

Find the profit $\%$ if you buy bananas at the rate of Rs. 10 dozen and sell them at the rate of 10 bananas at Rs. 12?

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.

The ratio of cost price and selling price is $5:4$ then loss percentage 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 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:

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 dishonest shopkeeper professes to sell grains at cost price, but he uses a weight of 935g for 1kg weight. Find his gain percentage.

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

If a shopkeeper sold one-third of his goods at a loss of 20%, then at what gain % should the remainder be sold to gain 25% on the whole transaction?

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.

A table is bought for $\text{Rs. }500$ and sold for $\text{Rs. }650$. Find the profit 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

Mukesh buys $15$ bananas for $\text{₹}125$ and sells $20$ bananas for $\text{₹}180$. Find the percentage of his profit.

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 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?

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

A tradesman marks his goods at $15\%$ above the cost price and allows purchasers a discount of $10\%$ for cash. What profit percentage does he make?

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

By selling an article for ₹507.40, a person makes a profit of 18%. At what price (in ₹) should he sell it to make a profit of 24%?

A person bought bananas at 6 for ₹12 and sold them at 8for₹10. Find his 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.

A machine was sold at ₹27,300 at a loss of 9%. Find the loss (in ₹).

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?

A shopkeeper sold an article for Rs. 540 at some profit. Had he sold it for Rs. 470, then there would have been a loss equal to one-sixth of the initial profit. What was the cost price (in Rs.) of the article?

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

A seller sells two shirts for Rs. 3,360. The cost of four such shirts for the shopkeeper was Rs. 5,600. What is the profit/loss percentage on each shirt?

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?

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

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?

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 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 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 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 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?

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.

An article is sold for Rs. x. If it is sold at 66
3
2
​
% of this price, there is a loss of 20%. What is the percentage profit when it is sold for Rs. x?

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?

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

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.