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NCERT Solutions for Class 8 Maths Chapter 7 Comparing Quantities Ex 7.2

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NCERT Solutions for Class 8 Maths Chapter 7 Comparing Quantities Exercise 7.2 - FREE PDF Download

NCERT for Chapter 7 Exercise 7.2 class 8 maths solutions on Comparing Quantities by Vedantu, introduces comparing different quantities and understanding their relationships. Whether it's comparing prices while shopping, understanding discounts, or calculating profits and losses, this chapter equips you with essential mathematical skills for real-life situations. Through NCERT solutions for class 8 Maths, we aim to simplify complex concepts into easy-to-understand explanations, helping you grasp each topic effectively. From learning about ratios and percentages to exploring concepts of simple interest and profit & loss, every aspect of comparing quantities is covered comprehensively. With Vedantu's NCERT Solutions, you'll find step-by-step explanations for class 8 maths Ex 7.2 in your textbook, ensuring that you understand the concepts thoroughly. 

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Table of Content
1. NCERT Solutions for Class 8 Maths Chapter 7 Comparing Quantities Exercise 7.2 - FREE PDF Download
2. Glance on NCERT Solutions for Class 8 Maths Chapter 7 Comparing Quantities Exercise 7.2 | Vedantu
3. Formulas Used in Maths Class 8 Chapter 7 Exercise 7.2
4. Access NCERT Solutions for Maths Class 8 Chapter 7 Comparing Quantities Exercise 7.2
5. Class 8 Maths Chapter 7: Exercises Breakdown
6. CBSE Class 8 Maths Chapter 7 Other Study Materials
7. Chapter-Specific NCERT Solutions for Class 8 Maths
8. Important Related Links for CBSE Class 8 Maths
FAQs


Glance on NCERT Solutions for Class 8 Maths Chapter 7 Comparing Quantities Exercise 7.2 | Vedantu

  • NCERT Solutions Maths Chapter 7 Exercise 7.2 Class 8 introduces finding discount and estimating it in percentage, Sales taxes, value added taxes, goods and service taxes.

  • Discount is a reduction given on the Marked Price of a particular item.

  • To Find a Discount, simply subtract the sale price of an item with its marked price.

  • Additional expenses made after buying an item are included in the cost price and are known as overhead expenses.

  • This exercise contains 5 fully solved questions for Class 8 Math Exercise 7.2 chapter 7 Comparing Quantities.

 

Formulas Used in Maths Class 8 Chapter 7 Exercise 7.2

  1. For Percentage change 

    1. Percentage increase = $\left ( \frac{Increase}{Original value } \right ) \times 100$

    2. Percentage decrease = $\left ( \frac{Decrease}{Original value } \right ) \times 100$


  1. For Discounts

    1. Discount = Marked Price - Sale Price

    2. To calculate discount when discount percentage is given then 

Discount = Discount % of Marked Price

Access NCERT Solutions for Maths Class 8 Chapter 7 Comparing Quantities Exercise 7.2

1. During a sale, a shop offered a discount of 10% on the marked prices of all the items. What would a customer have to pay for a pair of jeans marked at Rs 1450 and two shirts marked at Rs 850 each?

Ans: From the given data, 

Total marked price = \[\text{Rs}(1,450\text{ }+\text{ }2850)\text{ }=\text{ Rs}\left( 1,450\text{ }+\text{ }1,700 \right)\text{ }=~\text{ Rs }3,150\]

Also, given that, Discount = 10%

Therefore, Discount
${\text{ = Rs}}{\text{.}}\left( {\dfrac{{{\text{10}}}}{{{\text{100}}}} \times {\text{3150}}} \right){\text{  =  Rs}}{\text{. 315}}$

Discount = Marked price - Sale price

Therefore, Sale price = Marked price – Discount 

Sale price= Rs(3150 - 315) = Rs 2835

Customer have to pay Rs. 2835.

2. The price of a TV is Rs. 13,000. The sales tax charged on it is at the rate of 12%. Find the amount that Vinod will have to pay if he buys it.

Ans: For Rs. 100, tax = Rs. 12

${\text{For Rs}}{\text{.13,000; tax  =  Rs}}\left( {\dfrac{{{\text{12}}}}{{{\text{100}}}} \times {\text{13000}}} \right){\text{ =  Rs}}{\text{.1560}}$

Total amount = Cost + Sales Tax = Rs 13000 + Rs 1560 = Rs. 14560

Therefore, Vinod has to pay Rs. 14,560.

3. Arun bought a pair of skates at a sale where the discount given was 20%. If the amount he pays is Rs 1,600, find the marked price.

Ans:

Let $x$ be the marked price.

Discount percent = $\dfrac{{{\text{Discount}}}}{{{\text{Marked}}{\mkern 1mu} {\text{price}}}} \times {\text{100}}$ 

$\Rightarrow 20 = \dfrac{{{\text{Discount}}}}{x} \times 100{\text{ }}\;{\text{ }}$

$\text{Discount}=\dfrac{20}{100}\times x=\dfrac{1}{5}x\text{ }\!\!~\!\!\text{ }$

Also, Discount = Marked price - Sale price

$\text{ }\!\!~\!\!\text{ }\Rightarrow \dfrac{1}{5}x=x-\text{Rs}.1600$

$\Rightarrow x-\dfrac{1}{5}x=\text{Rs}.1600\text{ }\!\!~\!\!\text{ }$

$\Rightarrow \dfrac{4}{5}x=\text{Rs}.1600\text{ }\!\!~\!\!\text{  }\!\!~\!\!\text{ }$

$\begin{align} & x=\text{Rs}\left( 1600\times \dfrac{5}{4} \right) \\ & =\text{Rs}.\text{ }2000 \end{align}$

Therefore, the marked price is Rs 2000.

4. I purchased a hair-dryer for Rs 5,400 including 8% VAT. Find the price before VAT was added.

Ans:

Given, VAT = 8%

This implies, if the price without VAT is Rs 100, then price including VAT will be Rs 108.

Price including VAT = Rs. 108, original price = Rs. 100

When price including VAT = Rs. 5400, 

original price = ${\text{ =  Rs}}{\text{.}}\left( {\dfrac{{{\text{100}}}}{{{\text{108}}}} \times {\text{5400}}} \right){\text{ =  Rs}}{\text{.}}\,{\text{5000}}$

Therefore, price before VAT was added is Rs. 5000.

5. An article was purchased for ₹1239 including GST of 18%. Find the price of the article before GST was added?

Ans:  Let’s assume the price of the article before GST as ₹x.

Given that the article was purchased for 1239 rupees, including GST of 18%, so we can write the equation as 

x + GST = 1239    ….(1)

We know that GST is 18% of the price before GST, so

GST = 0.18x

Substituting this into (1)

x + 0.18x = 1239

1.18x = 1239

x = $\dfrac{1239}{1.18}$

x = 1050

So, the price of the article before GST was added is approximately 1050 rupees.

Conclusion

NCERT Solutions for Class 8 Math 7.2 Comparing Quantities provided by Vedantu offer comprehensive guidance for students. Understanding concepts like ratios, percentages, and discounts is crucial. It's important to focus on the methods of comparison, such as finding the percentage increase or decrease, and understanding how to solve word problems related to quantities. Previous year question papers cover various concepts like profit and loss, discounts, and simple interest. To excel in this topic, students should practice solving different types of problems and understand the underlying principles. Clear explanations provided in maths class 8 exercise 7.2 solutions help in grasping the concepts effectively. Regular practice and thorough understanding will help students tackle any question related to comparing quantities confidently.


Class 8 Maths Chapter 7: Exercises Breakdown

Exercise

Number of Questions

Exercise 7.1

6 Questions & Solutions (1 Long Answers, 5 Short Answers)

Exercise 7.3

3 Questions & Solutions


CBSE Class 8 Maths Chapter 7 Other Study Materials


Chapter-Specific NCERT Solutions for Class 8 Maths

Given below are the chapter-wise NCERT Solutions for Class 8 Maths. Go through these chapter-wise solutions to be thoroughly familiar with the concepts.



Important Related Links for CBSE Class 8 Maths

FAQs on NCERT Solutions for Class 8 Maths Chapter 7 Comparing Quantities Ex 7.2

1. What is the formula to find the cost price of an item?

When selling price and profit percentage of any item is given, the expression to find out the cost price is:

Cost Price = (Selling Price x 100) / (100 + Profit Percentage)

2. What is the dissimilarity between price and cost?

Cost is defined as the amount required to produce a product, while the price is what you pay for any item.

3. What are the subtopics of chapter 7 Comparing Quantities?

The various sub-topics are ratio and percentage, discounts, profit and loss, sales tax, VAT, compound interest, etc.

4. From where can I download the NCERT Solutions for Exercise 7.2 of Chapter 7 of Class 8 Maths?

To download NCERT Solutions for Exercise 7.2 of Chapter 7 of Class 8 Maths:

  • Visit the page NCERT Solutions for Exercise 7.2 of Chapter 7 of Class 8 Maths.

  • On the subsequent page, scroll and click on the option to "Download PDF."

  • You will be promptly redirected to a page containing the link to download the required PDF automatically.

Another way to download the PDF is by using the Vedantu mobile app. You can easily download the NCERT Solutions for Exercise 7.2 of Chapter 7 of Class 8 Maths using both these simple methods completely cost-free.

5. What should I do if I find Exercise 7.2 of Chapter 7 of Class 8 Maths difficult?

Understandably, many times, students might find certain topics in Mathematics difficult to grasp. However, do not get intimidated by such topics. With little effort and lots of practice, you can get over this fear and ace these topics.


Make sure you pay attention in class. In case of any doubts, ask the teacher promptly. Refer to Vedantu's NCERT Solutions for properly explained answers. Consult Vedantu's conceptual videos and live masterclasses for further clarification on difficult topics. 

6. Does Vedantu provide answers to all the questions of Exercise 7.2 of Chapter 7 of Class 8 Maths?

Exercises 7.2 of Chapter 7 of Class 8 Maths is an important exercise based on important topics. The exercise contains a total of 12 questions.


Vedantu provides uncomplicated answers to all these 12 questions for free. When you refer to Vedantu's NCERT Solutions, you will realize that these are the most authentic and direct answers you can find online. As a bonus, Vedantu also provides detailed explanations on all the topics of this exercise. You can even download the solutions of each exercise separately for a hassle-free study session.

7. What is Exercise 7.2 of Chapter 7 of Class 8 Maths based on?

Chapter 7 " Comparing Quantities," of Class 8 Maths contains several important topics from an examination viewpoint. From this Chapter, Exercise 8.2 is an important exercise covering the following topics:

  • Finding the Increase or Decrease percent

  • Finding Discounts

  • Estimation in percentages

  • Prices Related to Buying and Selling (Profit and Loss)

  • Finding cost price/selling price, profit %/ loss%

  • Sales Tax/Value Added Tax/Goods and Services Tax

8. What is Value Added Tax?

Value Added Tax, most commonly known as VAT, is a tax levied by the central government. This is charged on the sale of a product to the consumer. This product can either be a good or service. The shopkeeper or the service provider collects this tax from the consumer and gives it to the government. This tax is included beforehand in the prices of goods and services. 


You will find examples of VAT-related questions in the NCERT Textbook Exercise 7.2 of Chapter of Class 8 Maths.

9. What kind of questions can I expect from Comparing Quantities Class 8 Ex 7.2?

Calculating Discounts: You might be given the marked price of an item and the discount percentage. You'll need to find the amount of discount and the final selling price.


Finding the Original Price: Some questions might give you the discounted price and the discount percentage, and ask you to calculate the original marked price.


Including Sales Tax: You might encounter problems where you need to find the sales tax amount and add it to the marked price to get the final price.