# Frank solutions for Class 9 Maths ICSE chapter 2 - Profit , Loss and Discount [Latest edition]

## Chapter 2: Profit , Loss and Discount

Exercise 2.1Exercise 2.2Exercise 2.3Exercise 2.4
Exercise 2.1

### Frank solutions for Class 9 Maths ICSE Chapter 2 Profit , Loss and Discount Exercise 2.1

Exercise 2.1 | Q 1

Find the loss percentage incurred by selling a watch for Rs.1610 that was purchased for Rs.1750.

Exercise 2.1 | Q 2

Find the selling price of a camera bought for Rs.4600 and sold at a profit of 15%.

Exercise 2.1 | Q 3

Find the selling price of a watch bought for Rs.4050 and sold at a loss of 14%.

Exercise 2.1 | Q 4

A man buys a car for Rs. 75000 and spends Rs.15000 on repairing it. If he sells the car now for Rs.114000, find the gain percent.

Exercise 2.1 | Q 5

A carpenter purchases furniture set for Rs.21000. He then spends Rs.500 in transporting the goods to his workshop and another Rs.4500 on repairs. At what price must he sell to make a profit of 20% overall?

Exercise 2.1 | Q 6

A shopkeeper purchased 1000 notebooks at Rs.240 a score. If he sells the notebooks at.15 each, find his profit or loss percent.

Exercise 2.1 | Q 7

A trader bought 25 boxes of soap from a retailer at Rs.180 per box. If each box contains 12 bars of soaps and the trader sells the soap pieces at Rs. 18 per bar, find the profit or loss percent.

Exercise 2.1 | Q 8

On selling coffee at Rs.135 per kg a loss of 10% is incurred. Calculate the amount of coffee sold, if the total loss incurred is Rs.180.

Exercise 2.1 | Q 9

A shopkeeper bought locks at the rate of 8 locks for Rs.520 and sold them at the rate of 12 locks for Rs.936. Calculate his gain or loss percent and the number of locks he should sell to earn a net profit of Rs.520.

Exercise 2.1 | Q 10

Amita purchased a handbag for Rs.3000 and sold it at 20% above the cost price. If Rs. 360 is paid as tax on it, find her net profit and profit percentage.

Exercise 2.1 | Q 11

A manufacturer makes 800 straws at a cost of 50 paise per straw. He fixes the selling price such that if only 640 straws are sold, he would make a profit of 50% on his outlay. Find his actual profit or loss percent, if he sells 720 straws.

Exercise 2.1 | Q 12

A shopkeeper sells three mobile phones at Rs. 15000, Rs. 9945 and Rs.5392 respectively. He makes a profit of 25% on the first mobile and 10(1)/(2)% on the second, but incurs an overall loss 8(1)/(3)% on the 3 whole transactions. Find the cost price of the third mobile.

Exercise 2.1 | Q 13

Mr Sharma goes from Kolkata to Chennai to buy a car. It is available at 12% less price at Chennai than at Kolkata. But he incurs Rs. 9000 as overhead expenses to buy the car from Chennai. He sells the car at Kolkata at its cost price and make a profit of 10%. Find price of the car at Kolkata.

Exercise 2.2

### Frank solutions for Class 9 Maths ICSE Chapter 2 Profit , Loss and Discount Exercise 2.2

Exercise 2.2 | Q 1

A shopkeeper expects a profit of 25% on his cost price. In a week, his sale was of Rs. 5000 what was his profit?

Exercise 2.2 | Q 2

On selling 10 watches at Rs. 1400 there is a loss equal to the cost price of 3 watches. Find the cost price of a watch.

Exercise 2.2 | Q 3

Anant bought toffees at 5 for a rupee. How many for a rupee must he sell to gain 25%?

Exercise 2.2 | Q 4

By selling tie for Rs.648, a shopkeeper gains 8%. At what price should he sell the tie to gain 10%?

Exercise 2.2 | Q 5

By selling a cupboard for Rs.6480, a merchant loses 10%. Calculate his loss if he sells it for Rs.7560.

Exercise 2.2 | Q 6

The cost price of 5 pens is the same as the selling price of 4 of them. Find the gain percent.

Exercise 2.2 | Q 7

The selling price of a computer was fixed at Rs.32200 so as to give a profit of 15%. During a sale the price of the same computer was reduced to Rs.29960. Calculate the actual profit or loss during the scale.

Exercise 2.2 | Q 8

A dealer sells two refrigerators for Rs.37500 each. On one he makes a profit of 25% while on the other he makes a loss of 25%. Calculate his overall loss or profit percentage in the transaction.

Exercise 2.2 | Q 9

A briefcase was sold at a profit of 10%. If its cost price was 5% less and it was sold for Rs.120 more, the gain would have been 20%. Find the cost price of the briefcase.

Exercise 2.2 | Q 10

A shirt was sold for Rs.1265 at a gain of 15%. Had the selling price been  Rs.55 more, the gain would have been 20%. Find the cost price of the shirt.

Exercise 2.2 | Q 11

A trader mixes 200 kg of sugar at Rs.18 per kg with 100kg of sugar at Rs.22 per kg. He then sells the sugar at Rs.20 per kg. Find his profit percent.

Exercise 2.2 | Q 12

By selling 12 glasses for Rs.600 a shopkeeper makes a profit of 25%. Find his profit or loss percent when he sells 15 glasses for Rs.540.

Exercise 2.2 | Q 13

The difference between selling an article at 8% profit and at 12% profit is Rs.72. Find the cost price of the article and also the two selling prices.

Exercise 2.2 | Q 14

A manufacturer sells an article to a dealer at a profit of 10%. the dealer sells to the retailer at a profit of 8% and the retailer sells to the customer at a profit of 5%. If the customer pays Rs.12474 for the article, calculate the cost of manufacturing the same.

Exercise 2.2 | Q 15

Akhil sells a painting worth Rs. 50000 to B at a profit of 15%. After some time B sells it back to Akhil at a loss of 15%. Find Akhil's loss or gain per cent overall.

Exercise 2.2 | Q 16

A manufacture makes a profit of 30% by selling a colour T.V. for Rs.15730. If the cost of manufacturing increases by 30% and the selling price is increased by 20%, find the profit percent made by the manufacture.

Exercise 2.2 | Q 17

A man buys two cycles for a total cost of Rs.8000. By selling one cycle at a loss of 20% and the other at a profit of 30%, he makes a profit of Rs.650 on the whole transaction. Find the cost price of each cycle.

Exercise 2.2 | Q 18

A man bought two transistor radios which cost him Rs.7200. He sold one of them at a loss of 15% and the other at a gain of 19%. If the selling price of both the transactors is same, find the cost price of each.

Exercise 2.2 | Q 19

Two bicycles are sold for the same price, gaining 20% on one and losing 20% on the other. Find the cost price of each bicycle, if Rs.180 is lost in the whole transaction.

Exercise 2.2 | Q 20

A stationer gains 20% by selling pens at 12 for Rs.72. How many pens should he sell for Rs.100. to gain 25%?

Exercise 2.2 | Q 21

A milkman purchases milk at the rate of rs. 14 per litre and then mixes 40% water to it. Find the profit per cent, if he sells the mixture at Rs. 6 per litre.

Exercise 2.2 | Q 22

A bought a cycle and spent Rs.110 on its repair. He then sold it to B at 20% profit. B sold it to C at 10% loss. C sold it for Rs.1188 at 10% profit. How much did A pay for the article?

Exercise 2.2 | Q 23

40 unfinished articles were bought for Rs.54400 and Rs.140 per article was spent on their finishing. Find the profit percent made if, one-fourth of these articles were sold at Rs.2100 each and the rest for Rs.1800 each.

Exercise 2.2 | Q 24

A briefcase was sold at a profit of 15%. If its cost price was 5% less and it was sold for Rs.35 less, the gain would have been 20%. Find the cost price of the briefcase.

Exercise 2.2 | Q 25

A certain number of eggs are bought at 4 for 5 and an equal number at 9 for Rs.10. If 15% were broken in transaction and remaining were sold at 2 for Rs.3, find the profit percent and the number of eggs of each kind bought, if Rs.510 were gained on the whole.

Exercise 2.2 | Q 26

The net difference between selling a shirt at a profit of 10% and 15% is Rs.80. What are the selling prices?

Exercise 2.2 | Q 27

A man sells 4 identical kites for Rs. 12 and makes a profit of 20%. If he sells 6 such kites for Rs. 24, find his gain or loss percent.

Exercise 2.2 | Q 28

By selling 80 bananas for Rs. 240 a fruit seller loses 25%. How many bananas should he sell for Rs.100 to gain 25%.

Exercise 2.2 | Q 29

Satish sells a washing machine for Rs. 8,900 and makes a profit of 20%. He sells another washing machine at a loss of 15%. If on the whole, he neither gains nor loses, find the cost price of the second washing machine.

Exercise 2.2 | Q 30

A fruit vendor bought 60 kg of apples at Rs. 90 per kg. He sold 40 kg of the apples at a loss of 10%. At what per kg should he sell the remaining apples so as to gain 25% on the whole.

Exercise 2.2 | Q 31

Rohit purchased a TV for Rs.15,000 and sold it at 20% above the cost price. If the selling price includes Rs. 1000 as tax, find his net profit and profit percent.

Exercise 2.2 | Q 32

Two oils A and B are mixed in the ratio 3: 2. The cost price of oil A and B are Rs. 300 per litre and Rs.400 per litre respectively. If one-fourth of the mixture is sold at Rs. 450 per litre and the remaining of the mixture at Rs. 500 per litre, find the profit per cent on the whole.

Exercise 2.3

### Frank solutions for Class 9 Maths ICSE Chapter 2 Profit , Loss and Discount Exercise 2.3

Exercise 2.3 | Q 1.1

Find the S.P. in the following:
M.P. =Rs. 850, Discount = 16%

Exercise 2.3 | Q 1.2

Find the S.P. in the following:
M.P. =Rs. 5500, Discount = 30%

Exercise 2.3 | Q 2.1

Find the M.P. in the following:
S.P. =Rs. 1892, Discount =14%

Exercise 2.3 | Q 2.2

Find the M.P. in the following:
S.P. = Rs. 1245, Discount = 17%

Exercise 2.3 | Q 3.1

Find the discount percentage in the following:
M.P. =Rs. 1500, S.P. = Rs. 1320

Exercise 2.3 | Q 3.2

Find the discount percentage in the following:
M.P. = Rs. 6840, S.P. = Rs. 5814

Exercise 2.3 | Q 4

Find the amount paid by a customer when he buys a watch priced at Rs. 5400 available at a discount of 12%.

Exercise 2.3 | Q 5

A bookseller gives 8% discount on the printed price. What does a customer pay for a book priced at Rs. 150?

Exercise 2.3 | Q 6

A tradesman sells his goods at 10% discount. What Price should he mark on an article that costs him Rs. 2400, to gain 12.5%?

Exercise 2.3 | Q 7

A shopkeeper allows 20% discount on his article. What price must he mark on an article, which costs him Rs.1750, to make a profit of 20%?

Exercise 2.3 | Q 8

A dealer is selling an article marked Rs. 8000 at a discount of 15%. Find the selling price of the article and the cost price if the marked price is 25% above the cost price.

Exercise 2.3 | Q 9

A shopkeeper allows a discount of 12.5% on the marked price and makes a profit of 20%. If the cost price is Rs. 4200, what should be the marked price?

Exercise 2.3 | Q 10.1

A shopkeeper marks the price of an article at Rs. 1200. Find the selling price, if he allows:
two successive discounts of 15% and 10%.

Exercise 2.3 | Q 10.2

A shopkeeper marks the price of an article at Rs. 1200. Find the selling price, if he allows:
three successive discounts of 10%, 8% and 5%.

Exercise 2.3 | Q 11

The list price of a mobile is Rs. 4000. A customer gets two successive discounts, the first being 10%. Calculate, in percentage, the second discount, if the customer pays Rs. 3060 for it.

Exercise 2.3 | Q 12.1

Find if the following discount series is better for the customer:
25%, 20% and 15%

Exercise 2.3 | Q 12.2

Find if the following discount series is better for the customer:
20%, 20% and 20%

Exercise 2.3 | Q 13

Find the single discount which is equivalent to successive discounts of 20%, 10% and 5%. Hence, find the selling price of an article marked at Rs. 2500.

Exercise 2.3 | Q 14

The list price of a watch is Rs.4000. It is available either at 25% flat discount or at successive discounts of 15% and 12%. Calculate the better offer and the amount paid in the second offer.

Exercise 2.3 | Q 15

The marked price of a sofa set is Rs. 36000 and is available in Guwahati at 20% discount. A shopkeeper from Delhi buys this article in Guwahati and spends Rs. 1500 on his travelling and Rs. 1200 on the transportation etc. of the article. Find the profit per cent made by the shopkeeper, if he sells the article in Delhi at the
a. marked price, b. 5% discount.

Exercise 2.3 | Q 16

A trader fixes the selling price of his goods at 50% above the cost price. He sells half of his stock at this price, a quarter of his stock at a discount of 20% on the original selling price, and the rest at a discount of 36% on the original selling price. Find the gain per cent altogether.

Exercise 2.3 | Q 17

A shopkeeper fixes the selling price of his goods at 60% above the cost price. He sells half of this stock at this price, a quarter of his stock at a discount of 25% on the original selling price, and the rest at a discount of 50% on the original selling price. Find the gain percent altogether.

Exercise 2.3 | Q 18

A trader allows a discount of 12% on the marked price of the goods in his shop. He still makes a gross profit of 21% on the cost price. Find the profit percent he would have made, had he sold the goods at the marked price.

Exercise 2.3 | Q 19

A trader allows a discount of 15% on the marked price of the goods in his shop. However, he still makes a gross profit of 36% on the cost price. Find the profit percent, he would have made, had he sold the goods at the marked price.

Exercise 2.3 | Q 20

A dealer marks his goods 45% above the cost price and then allows 20% discount on it. What is the cost price of an article on which he gains Rs.960?

Exercise 2.3 | Q 21

A dealer marks his goods 25% above the cost price and then allows 10% discount on it. What is the cost price of an article on which he gains Rs. 575?

Exercise 2.3 | Q 22

A publisher gives his distributor a discount of 30% on the printed price of the books. The distributor sells those books to a bookseller at 23% discount on the printed price and the bookseller sells these books at their printed price. Find the profit percent made by the distributor and the bookseller.

Exercise 2.3 | Q 23

The catalogue price of a laptop is Rs.43200. If it is sold at a discount of 16% of the catalogue price, a gain of 26% is made. Find the gain or loss per cent if it is sold for Rs.9000 below the catalogue price.

Exercise 2.3 | Q 24

Gurmeet sells an article priced at Rs. 25,000. He gives a discount of 8% on the first Rs. 20,000 and 5% on the remaining amount. Manjeet also sells another article of the same kind priced at Rs. 25,000. He gives a discount of 6% on the total price. Calculate the actual price charged by Gurmeet and Manjeet for the articles.

Exercise 2.3 | Q 25

An article costs Rs. 2000 to a manufacturer who lists its price at Rs. 2500. He sells it to a trader at a discount of 5%. The trader gets a further discount of 5% for cash payment. Find the amount that the trader pays to the manufacturer and the profit percent that the manufacturer makes on the sale.

Exercise 2.3 | Q 26

A firm dealing in computers, allows 5% discount on the marked price of each system. What price must be marked on a computer set which costs Rs. 20,000 to assemble, so as to make a profit of 25%?

Exercise 2.3 | Q 27

The cost of production of a video game is Rs.5200. This is divided between material, labour and overheads in the ratio 5:6:2. If the video game is marked at a price that gives a 30% profit, find the marked price. If the cost of material, labour and overheads increased by 40%, 30% and 10% respectively, calculate the cost of manufacturing the video game now and the marked price so as to get the same percentage as before.

Exercise 2.4

### Frank solutions for Class 9 Maths ICSE Chapter 2 Profit , Loss and Discount Exercise 2.4

Exercise 2.4 | Q 1.1

Find the S.P. in the following :
M.P. = Rs.850, Discount = 16%

Exercise 2.4 | Q 1.2

Find the S.P. in the following :
M.P. = Rs.5500, Discount = 30%

Exercise 2.4 | Q 1.3

Find the S.P. in the following :
M.P. = Rs.1625, Discount = 12%

Exercise 2.4 | Q 2.1

Find the M.P. in the following :
S.P. = Rs.1892, Discount = 14%

Exercise 2.4 | Q 2.2

Find the M.P. in the following :
S.P. = Rs.1245, Discount = 17%

Exercise 2.4 | Q 2.3

Find the M.P. in the following :
S.P. = Rs.5343, Discount = 22%

Exercise 2.4 | Q 3.1

Find the discount percentage in the following :
M.P. = Rs.1500, S.P. = Rs.1320

Exercise 2.4 | Q 3.2

Find the discount percentage in the folllowing :
M.P. = Rs.6840, S.P. = Rs.5814

Exercise 2.4 | Q 3.3

Find the discount percentage in the following :
M.P. = Rs.1960, S.P. = Rs.1176

Exercise 2.4 | Q 4

Find the amount paid by a customer when he buys a watch priced at Rs.5400 available at a discount of 12%.

Exercise 2.4 | Q 5

Levi's having a sale where everything is a discount of 30%. How much would a pair of jeans priced at Rs.1750 cost?

Exercise 2.4 | Q 6

A bookseller gives 8% discount on the printed price. What does a customer pay for a book priced at Rs.150?

Exercise 2.4 | Q 7

A mobile phone is marked at Rs.12000. A discount of 20% is given on the marked price. What is the net selling price?

Exercise 2.4 | Q 8

A tradesman sells his goods at 10% discount. What price should he mark on an article that costs him Rs.2400, to gain 12.5%?

Exercise 2.4 | Q 9

A shopkeeper allows 20% discount on his article. What price must be mark on an article, which costs him Rs.1750, to make a profit 20%?

Exercise 2.4 | Q 10

A dealer is selling an article marked Rs.2000 at a discount of 20%. Find the selling price and the cost price of if he makes a profit of 25%.

Exercise 2.4 | Q 11

A dealer is selling an article marked Rs.8000 at a discount of 15%. Find the selling price and the cost price if the marked price is 25% above the cost price.

Exercise 2.4 | Q 12

A shopkeeper allows a discount of 12.5% on the marked price and makes a profit of 20%. If the cost price is Rs.4200, what should be the marked price?

Exercise 2.4 | Q 13

Find the single discount which is equivalent to successive discount of 20%, 15% and 10%.

Exercise 2.4 | Q 14

Find the single discount which is equivalent to successive discounts of 10%, 8% and 5%.

Exercise 2.4 | Q 15

Find the single discount which is equivalent to successive discounts of 20%, 10% and 5%. Hence find the selling price of an article marked at Rs.2500.

Exercise 2.4 | Q 16

A shopkeeper allows two successive discounts of 10% and 15% on his articles. If he gets Rs.2295 for an article, find its marked price.

Exercise 2.4 | Q 17

The marked price of a shirt is Rs.800. Find the selling price, if he allows successive discounts of 15%, 10% and 8%.

Exercise 2.4 | Q 18

The list price of a watch is Rs.4000. It is available either at 25% flat discount or at successive discounts of 15% and 12%. Calculate the better offer and the amount paid in the second offer.

Exercise 2.4 | Q 19

A trader fixes the selling price of his goods at 50% above the cost price. He sells half of his stock at this price, a quarter of his stock at a discount of 20% on the original selling price, and the rest at a discount of 36% on the original selling price. Find the gain percent altogether.

Exercise 2.4 | Q 20

A shopkeeper fixes the selling price of his goods at 60% above the cost price. He sells half of his stock at this price, a quarter of his stock at a discount of 25% on the original selling price, and the rest at a discount of 50% on the original selling price. Find the gain percent altogether.

Exercise 2.4 | Q 21

A man fixes the selling price of his goods at 50% above the cost price. He sells one-third of his stock at this price, one-third of his stock at a discount of 20% on the original selling price, and the rest at a discount of 40% on the original selling price. Find the gain percent altogether.

Exercise 2.4 | Q 22

A trademan fixed the selling price of his goods at 40% above the cost price. He sells half his goods at this price, one-forth of his stock at a discount of 15% om the original selling price, and the rest at a discount of 25% on the original selling price. Find the gain percent altogether

Exercise 2.4 | Q 23

A trader allows a discount of 12% on the marked price of the goods in his shop. He still makes a gross profit of 21% on the cost price. Find the profit percent, he would have made, had he sold the goods at the marked price.

Exercise 2.4 | Q 24

A trader allows a discount of 15% on the marked price of the goods in his shop. However, he still makes a gross profit of 36% on the cost price. Find the profit percent, he would have made, had he sold the goods at the market price.

Exercise 2.4 | Q 25

A dealer marks his goods 45% above the cost price and then allows 20% discount on it. What is the cost price of an article on which he gains Rs.960?

Exercise 2.4 | Q 26

A dealer marks his goods 25% above the cost price and then allows 10% discount on it. What is the cost price of an article on which he gains Rs.575?

Exercise 2.4 | Q 27

A shopkeeper allows 20% discount on the advertised prices of his goods and still makes a profit of 12% on his cost price. Calculate the advertised price of an article on which he gains Rs.135.

Exercise 2.4 | Q 28

A publisher gives his distributors a discount of 30% on the printed price of the books. The distributor sells those books to a book seller at 23% discount on the printed price and the book-seller sells these books at their printed price. Find the profit percent made by the distributor and the book-seller.

Exercise 2.4 | Q 29

The catalogue price of a Sony TV is Rs.43200. If it is sold at a discount of 16% of the catalogue price, a gain of 26% is made. Find the gain or loss percent if it is sold for Rs.9000 below the catalogue price.

Exercise 2.4 | Q 30

The catalogue price of an article is Rs.3600 and a manufacturer sells it to the distributor at 20% off the catalogue price. The distributor sells it to the retailer at 10% off the catalogue price. What profit percent is made by the retailer, if he sells the article to a customer at catalogue price? What profit percent is made by the manufacturer, if the catalogue price is 44% above its costs?

Exercise 2.4 | Q 31

First the difference between a single discount of 40% and two successive discounts of 36% and 4% on Rs.5000.

Exercise 2.4 | Q 32

The difference between a discount of 30% and two successive discounts of 20% and 10% is Rs.144. Find the list price of the article.

Exercise 2.4 | Q 33

A retailer buys a washing machine marked at Rs.4800 and gets two successive discounts of 15% and 5%. He spends Rs.124 on transportation and sells it at a gain of 13%. Find the selling price of the machine.

Exercise 2.4 | Q 34

The printed price of a book is Rs.320. A retailer pays Rs.244.80 for it. He gets successive discounts of 10% and another rate. what is the second rate?

Exercise 2.4 | Q 35

Two dealers A and B selling the same model of refrigerator mark them under the same selling price. A gives successive discount of 25% and 5% and B gives successive discounts of 10% and 20%. From whom is it more advantageous to purchase the refrigerator?

## Chapter 2: Profit , Loss and Discount

Exercise 2.1Exercise 2.2Exercise 2.3Exercise 2.4

## Frank solutions for Class 9 Maths ICSE chapter 2 - Profit , Loss and Discount

Frank solutions for Class 9 Maths ICSE chapter 2 (Profit , Loss and Discount) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CISCE Class 9 Maths ICSE solutions in a manner that help students grasp basic concepts better and faster.

Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. Frank textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Class 9 Maths ICSE chapter 2 Profit , Loss and Discount are To Find C.P., When S.P. and Gain (Or Loss) Percent Are Given, To Find S.P., When C.P. and Gain (Or Loss) Percent Are Given, Profit or Loss as a Percentage, Overhead Expenses, Concept of Discount, Concept of Discount.

Using Frank Class 9 solutions Profit , Loss and Discount exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in Frank Solutions are important questions that can be asked in the final exam. Maximum students of CISCE Class 9 prefer Frank Textbook Solutions to score more in exam.

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