# Chapter 2 : Profit , Loss and Discount - Frank Solutions for Class 9 Maths ICSE

Mathematics in ICSE Class 9 is one of the most challenging and trickiest subjects of all. It includes complex topics such as logarithms, expansions, indices and Pythagoras Theorem which are difficult to understand for an average student. TopperLearning provides study materials for ICSE Class 9 Mathematics to make the subject easy and help students to clear all their concepts. Our study materials comprise numerous video lessons, question banks, revision notes and sample papers which help achieve success in the examination.

## Chapter 2 - Profit , Loss and Discount Excercise Ex. 2.1

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.

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.

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 % on the second, but incurs an overall loss 8% on the 3 whole transactions. Find the cost price of the third mobile.

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.

## Chapter 2 - Profit , Loss and Discount Excercise Ex. 2.2

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

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.

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

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.

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 per cent.

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

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.

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.

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 per cent.

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.

## Chapter 2 - Profit , Loss and Discount Excercise Ex. 2.3

Find the SP in the following:

a. MP = Rs. 850, Discount = 16%

b. MP = Rs. 5500, Discount = 30%

Find the MP in the following:

a. SP = Rs. 1892, Discount =14%

b. SP = Rs. 1245, Discount = 17%

Find the discount percentage in the following:

a. MP = Rs. 1500, SP = Rs. 1320

b. MP = Rs. 6840, SP = Rs. 5814

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

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

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%?

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%?

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.

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?

A shopkeeper marks the price of an article at Rs. 1200. Find, in each case, the selling price, if he allows:

a. two successive discounts of 15% and 10%.

b. three successive discounts of 10%, 8% and 5%.

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.

Find which of the following discount series is better for the customer:

a. 25%, 20% and 15%;

b. 20%, 20% and 20%

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.

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.

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.

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.

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 per cent altogether.

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 per cent he would have made, had he sold the goods at the marked price.

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 per cent, he would have made, had he sold the goods at the marked price.

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?

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?

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 per cent made by the distributor and the bookseller.

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.

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.

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 per cent that the manufacturer makes on the sale.

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%?

## Chapter 2 - Profit , Loss and Discount Excercise Ex. 2.4

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