#### Chapters

Chapter 2: Exponents

Chapter 3: Squares and Square Root

Chapter 4: Cubes and Cube Roots

Chapter 5: Playing with Numbers

Chapter 6: Sets

Chapter 7: Percent and Percentage

Chapter 8: Profit, Loss and Discount

Chapter 9: Interest

Chapter 10: Direct and Inverse Variations

Chapter 11: Algebraic Expressions

Chapter 12: Identities

Chapter 13: Factorisation

Chapter 14: Linear Equations in one Variable

Chapter 15: Linear Inequations

Chapter 16: Understanding Shapes

Chapter 17: Special Types of Quadrilaterals

Chapter 18: Constructions

Chapter 19: Representing 3-D in 2-D

Chapter 20: Area of a Trapezium and a Polygon

Chapter 21: Surface Area, Volume and Capacity

Chapter 22: Data Handling

Chapter 23: Probability

## Chapter 8: Profit, Loss and Discount

### Selina solutions for Concise Mathematics Class 8 ICSE Chapter 8 Profit, Loss and Discount Exercise 8 (A) [Page 90]

Megha bought 10 note-books for Rs.40 and sold them at Rs.4.75 per note-book. Find, her gain percent.

A fruit-seller buys oranges at 4 for Rs.3 and sells them at 3 for Rs.4 Find his profit percent.

A man buys a certain number of articles at 15 for Rs. 112.50 and sells them at 12 for Rs.108. Find ;**(i) **his gain as percent;**(ii)** the number of articles sold to make a profit of Rs.75.

A boy buys an old bicycle for Rs. 162 and spends Rs. 18 on its repairs before selling the bicycles for Rs. 207. Find his gain or loss percent.

An article is bought from Jaipur for Rs. 4,800 and is sold in Delhi for Rs. 5,820. If Rs. 1,200 is spent on its transportations, etc. ; find he loss or the gain as a percent.

Mohit sold a T.V. for Rs. 3,600; gaining one-sixth of its selling price. Find :

(i) the gain

(ii) the cost price of the T.V.

(iii) the gain percent.

By selling a certain number of goods for Rs. 5,500; a shopkeeper loses equal to one-tenth of their selling price. Find :

(i) the loss incurred

(ii) the cost price of the goods

(iii) the loss as a percent.

The selling price of a sofa-set is `4/5` times of its cost price. Find the gain or the loss as a percent.

The cost price of an article is `4/5` times of its selling price. Find the loss or the gain as a percent.

A shopkeeper sells his goods at 80% of their cost price. Find the percent gain or losses?

The cost price of an article is 90% of its selling price. What is the profit or the loss as a percent ?

The cost price of an article is 30 percent less than its selling price. Find, the profit or loss as a percent.

A shop-keeper bought 300 eggs at 80 paise each. 30 eggs were broken in a transaction and then he sold the remaining eggs at one rupee each. Find, his gain or loss as a percent.

A man sold his bicycle for Rs.405 losing one-tenth of its cost price, find :

(i) its cc price;

(ii) the loss percent.

A man sold a radio-set for Rs.250 and gained one-ninth of its cost price. Find ;

(i) its cost price;

(ii) the profit percent.

### Selina solutions for Concise Mathematics Class 8 ICSE Chapter 8 Profit, Loss and Discount Exercise 8 (B) [Page 93]

**Find the selling price, if:**

C.P. = Rs. 950 and profit = 8%

**Find the selling price, if:**

C.P. = Rs. 1,300 and loss = 13%

**Find the cost price, if :**

S.P. = Rs. 1,680 and profit = 12%

**Find the cost price, if :**

S.P. = Rs. 1,128 and loss = 6%

By selling an article for Rs.900; a man gains 20%. Find his cost price and the gain.

By selling an article for Rs.704; a person loses 12%. Find his cost price and the loss.

**Find the selling price, if :**

C.P. = Rs.352; overheads = Rs.28 and profit = 20

**Find the selling price, if :**

C.P. = Rs.576; overheads = Rs.44 and loss = 16%

If John sells his bicycle for Rs. 637, he will suffer a loss of 9%. For how much should it be sold, if he desires a profit of 5%?

A man sells a radio-set for Rs.605 and gains 10%. At what price should he sell another radio of the same kind, in order to gain 16%?

By selling a sofa-set for Rs.2,500; the shopkeeper loses 20%. Find his loss percent or profit percent; if he sells the same sofa-set for Rs.3150.

Mr. Sinha sold two tape-recorders for Rs.990 each; gaining 10% on one and losing 10% on the other. Find his total loss or gain as a percent on the whole transaction.

A tape-recorder is sold for Rs. 2,760 at a gain of 15% and a C.D. player is sold for Rs. 3,240 at a loss of 10% Find :**(i) **the C.P. of the tape-recorder**(ii)** the C.P. of the C.D. player.**(iii)** the total C.P. of both.**(iv) **the total S.P. of both**(v) **the gain % or the loss % on the whole

Rajesh sold his scooter to Rahim at 8% loss and Rahim, in turn, sold the same scooter to Prem at 5% gain. If Prem paid Rs. 14,490 for the scooter; find :**(i)** the S.P. and the C.P. of the scooter for Rahim**(ii)** the S.P. and the C.P. of the scooter for Rajesh

John sold an article to Peter at 20% profit and Peter sold it to Mohan at 5% loss. If Mohan paid Rs.912 for the article; find how much did John pay for it?

### Selina solutions for Concise Mathematics Class 8 ICSE Chapter 8 Profit, Loss and Discount Exercise 8 (C) [Page 95]

A stationery buys pens at 5 for Rs.28 and sells them at a profit of 25 %. How much should a customer pay; if he buys**(i)** only one pen ;**(ii)** three pens?

A fruit-seller sells 4 oranges for Rs. 3, gaining 50%. Find :**(i) **C.P. of 4 oranges,**(ii)** C.P. of one orange.**(iii) **S.P. of one orange.**(iv)** profit made by selling one orange.**(v)** a number of oranges brought and sold in order to gain Rs. 24.

A man sells 12 articles for Rs. 80 gaining `33 1/3%`. Find the number of articles bought by the man for Rs. 90.

The cost price of 20 articles is the same as the selling price of 16 articles. Find the gain percent.

The selling price of 15 articles is equal to the cost price of 12 articles. Find the gain or loss as a percent.

By selling 8 pens, Shyam loses equal to the cost price of 2 pens. Find his loss percent.

A shop-keeper bought rice worth Rs.4,500. He sold one-third of it at 10% profit.

If he desires a profit of 12% on the whole; find :**(i)** the selling price of the rest of the rice ;**(ii) **the percentage profit on the rest of the rice.

Mohan bought a certain number of note-books for Rs.600. He sold `1/4` of them at 5 percent loss. At what price should he sell the remaining note-books so as to gain 10% on the whole?

Raju sells a watch at a 5% profit. Had he sold it for Rs.24 more; he would have gained 11%. Find the cost price of the watch.

A man sold a bicycle at 5% profit. If the cost had been 30% less and the selling price Rs.63 less, he would have made a profit of 30%. What is the cost price of the bicycle?

Renu sold an article at a loss of 8 percent. Had she bought it at 10% less and sold for Rs.36 more; she would have gained 20%. Find the cost price of the article.

### Selina solutions for Concise Mathematics Class 8 ICSE Chapter 8 Profit, Loss and Discount Exercise 8 (D) [Page 98]

An article is marked for Rs. 1,300 and is sold for Rs. 1,144; find the discount percent.

The marked price of a dinning table is Rs. 23,600 and is available at a discount of 8%. Find its selling price.

A wrist-watch is available at a discount of 9%. If the list-price of the watch is Rs. 1,400; find the discount is given and the selling price of the watch.

A shopkeeper sells an article for Rs. 248.50 after allowing a discount of 10%. Find the list price of the article.

A shop-keeper buys an article for Rs.450. He marks it at 20% above the cost price. Find :**(i) **the marked price of the article.**(ii)** the selling price, if he sells the articles at 10 percent discount.**(iii)** the percentage discount given by him, if he sells the article for Rs.496.80

The list price of an article is Rs.800 and is available at a discount of 15 percent. Find :**(i)** selling price of the article ;**(ii) **cost price of the article, if a profit of `13 1/3` % is made on selling it.

An article is marked at Rs. 2,250. By selling it at a discount of 12%, the dealer makes a profit of 10%. Find :**(i) **the selling price of the article.**(ii)** the cost price of the article for the dealer.

By selling an article at a 20% discount, a shopkeeper gains 25%. If the selling price of the article is Rs. 1,440 ; find :**(i) **the marked price of the article.**(ii)** the cost price of the article.

A shopkeeper marks his goods at 30 percent above the cost price and then gives a discount of 10 percent. Find his gain percent.

A ready-made garments shop in Delhi, allows a 20 percent discount on its garments and still makes a profit of 20 percent. Find the marked price of a dress which is bought by the shop-keeper for Rs.400.

At 12% discount, the selling price of a pen is Rs. 13.20. Find its marked price. Also, find the new selling price of the pen, if it is sold at 5% discount.

The cost price of an article is Rs. 2,400 and it is marked at 25% above the cost price. Find the profit and the profit percent, if the article is sold at a 15% discount.

Thirty articles are bought at Rs. 450 each. If one-third of these articles be sold at a 6% loss; at what price must each of the remaining articles be sold in order to make a profit of 10% on the whole?

The cost price of an article is 25% below the marked price. If the article is available at a 15% discount and its cost price is Rs. 2,400; find:**(i) **Its marked price**(ii) **its selling price**(iii) **the profit percent.

**Find a single discount (as a percent) equivalent to following successive discounts:**

20% and 12%

**Find a single discount (as a percent) equivalent to following successive discounts:**

10%, 20% and 20%

**Find a single discount (as a percent) equivalent to following successive discounts:**20%, 10% and 5%

**Find the single discount (as a percent) equivalent to successive discounts of:**

80% and 80%

**Find the single discount (as a percent) equivalent to successive discounts of:** 60% and 60%

**Find the single discount (as a percent) equivalent to successive discounts of:**

60% and 80%

### Selina solutions for Concise Mathematics Class 8 ICSE Chapter 8 Profit, Loss and Discount Exercise 8 (E) [Page 101]

Rajat purchases a wrist-watch costing Rs 540. The rate of sales tax is 8%. Find the total amount paid by Rajat for the watch.

Ramesh paid Rs 345.60 as sales tax on a purchase of Rs 3,840. Find the rate of sales tax.

The price of a washing machine, inclusive of sales tax is Rs 13,530/-. If the sales tax is 10%, find its basic cost price.

Sarita purchases biscuits costing Rs 158 on which the rate of sales tax is 6%. She also purchases some cosmetic goods costing Rs 354 on which the rate of sales tax is 9%. Find the total amount to be paid by Sarita.

The price of a T.V. set inclusive of sales tax of 9% is Rs 13,407. Find its marked price. If sales tax is increased to 13%, how much more does the customer has to pay for the T.V.?

The price of an article is Rs 8,250 which includes sales tax at 10%. Find how much more or less does a customer pay for the article, if the sales tax on the article:

**(i)** increases to 15%**(ii)** decreases to 6%**(iii) **increases by 2%**(iv) **decreases by 3%

A bicycle is available for Rs 1,664 including sales tax. If the list price of the bicycle is Rs 1,600, find :

(1) the rate of sales tax.

(2) the price, a customer will pay for the bicycle if the sales tax is increased by 6%.

When the rate of sale-tax is decreased from 9% to 6% for a coloured T.V.; Mrs. Geeta will save Rs 780 in buying this T.V. Find the list price of the T.V.

A shopkeeper sells an article for Rs. 21384 including 10% sales tax. However, the actual rate of sales tax is 8%. Find the extra profit made by the dealer.

### Selina solutions for Concise Mathematics Class 8 ICSE Chapter 8 Profit, Loss and Discount Exercise 8 (F) [Page 104]

Some goods/services cost Rs. 16,000 and the rate of GST on them is 12%. Find the amount of the bill, in the case of:

- intra-state transaction.
- inter-state transaction.

John belongs to Delhi. He buys goods, worth Rs. 25,000 from a shop in Delhi. If the rate of GST is 5%, find how much money in all, will Does John pay for these goods?

Find the amount of bill for the following inter-state transaction of goods/services:

Cost of transaction = 30,000; discount = 30% and GST=28%.

For both the following inter-state transaction of services, find the total amount of bill.**(i)** Cost of services = 5,000, discount = 20% and GST = 12%**(ii)** Cost of services = 12,500, discount = 40% and GST = 18%

A shopkeeper in Indore sells 20 identical articles for ₹450 each. Find the amount of bill if he gives a 20% discount and then charges GST = 28%

A dealer in Bihar supplied goods to a dealer in Mumbai. The dealer in Mumbai buys :**(i) **40 articles for 800 each at 30% discount**(ii) **75 articles for 1,000 each at 20% discount.

If the rate of GST, on the whole, is 12%, find how much will the dealer at Mumbai pay to a dealer in Bihar.

## Chapter 8: Profit, Loss and Discount

## Selina solutions for Concise Mathematics Class 8 ICSE chapter 8 - Profit, Loss and Discount

Selina solutions for Concise Mathematics Class 8 ICSE chapter 8 (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 Concise Mathematics Class 8 ICSE solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Concise Mathematics Class 8 ICSE chapter 8 Profit, Loss and Discount are Overhead Expenses, To Find S.P., When C.P. and Gain (Or Loss) Percent Are Given, To Find C.P., When S.P. and Gain (Or Loss) Percent Are Given, Concept of Discount, Computation of Tax, Goods and Service Tax (Gst), Gst Comprises of, Concept of Discount.

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