How to Solve Comparing Quantities Questions Easily
In mathematics, one of the most basic tasks is to compare quantities. This can be done in several ways, including by using comparison symbols such as >, <, or =. To help students become comfortable with this skill, multiple-choice questions about comparing quantities are often included on math tests.
Types of Comparing Quantities MCQs
There are many different types of questions that can be asked on comparing quantities multiple-choice tests. Here are some examples:
Questions that ask students to determine if one number is greater than another. For example, "Is 5 > 4?" This type of question requires an understanding of numbers and their order.
Questions that ask students to determine if one number is greater than or equal to another. For example, "Is 5 > or = 4?" This type of question requires an understanding of the order of operations, specifically the order of inequalities.
Questions that ask students to determine if two numbers are equivalent. For example, "Are 5 and 2 equal?" This type of question requires an understanding of numbers and the symbols used to indicate equivalency.
Questions about Comparing Quantities MCQs
The following list contains examples of multiple-choice questions that can be asked on comparing quantities tests:
Is 5 > 4?
Are 5 and 2 equal?
Are 1/8 and 3/4 equal?
Is -3 > -5?
The best way to become comfortable with answering questions about comparing quantities is to practice. Many online resources offer to practise questions, and many math textbooks also include practice problems. By practicing these types of questions, students will be better prepared to answer them correctly on a test. Comparing quantities are often included on math tests. With the help of comparing quantities, students are more capable of answering this type of question and can also understand the basic mathematics and understand the concepts of comparing Quantities score higher.
The best way to become comfortable with answering questions about comparing quantities is to practice. Many online resources offer practice questions, and many math textbooks also include practice problems. By practicing these types of questions, students will be better prepared to answer them correctly on a test. Math skills are essential for students of all ages. To help students become comfortable with basic math skills, multiple-choice questions about comparing quantities are often included on math tests. By practicing these types of questions, students will be better prepared to answer them correctly on a test.
Key Features of NCERT Solutions of Class 8 Maths Chapter 8 Comparing Quantities MCQs
Learning the chapter Comparing Quantities helps the students to:
Slightly advanced problems involving applications on percentages, applications on profit & loss, overhead expenses, Discounts as well as tax.
Difference between compound interest and simple interest, arriving at the formula for compound interest through patterns and using it for simple problems.
Direct variation – Simple as well as direct word problems
Inverse variation – Simple as well as direct word problems
Time & work problems– Simple as well as direct word problems
Let's discuss the class 8 Maths chapter 8 comparing quantities MCQs.
MCQs on Class 8 Comparing Quantities
Multiple choice questions (MCQs on Class 8 Comparing Quantities) are available for Class 8 Chapter 8 Comparing Quantities. All the problems generally have four multiple options, in which one is the right answer.
Students have to solve each question and have to choose the correct answer in class 8 Maths chapter 8 comparing quantities MCQs.
1. The Ratio of the Speed of Cycle 12 Km Per Hour to the Speed of a Scooter 36 Km Per Hour is Equal To
A. 1:2
B. 1:3
C. 1:4
D. None of the above
Answer: B
Explanation: Speed of cycle/Speed of scooter equals 12/36 = ⅓
2. The Ratio of 10m to 10 Km is Equal To:
A. 1/10
B. 1/100
C. 1/1000
D. 1000
Answer: C
Explanation: 10m/10km = 10m/10000m = 1/1000
3. The Percentage of 3:4 is
A. 75%
B. 50%
C. 25%
D. 100%
Answer: A
Explanation: 3:4 = ¾
(3×100)/(4×100) = ¾ x 100% = 0.75 x 100% = 75%
4. The Percentage of 2:5
A. 20%
B. 50%
C. 60%
D. 40%
Answer: D
Explanation: 2:5 equals ⅖ = ⅖ x 100% = 0.4 x 100% = 40%
5. If 50% of Students Are Good at Science Out of 20 Students. Then the Number of Students Good at the Subject Science Is:
A. 10
B. 15
C. 5
D. 11
Answer: A
Explanation: 50% of students out of 20 students equals 50% of 20
= (50/100) x 20
= ½ x 20
= 10
6. The Price of a Motorcycle Was Rs. 34,000 Last Year. It Has Increased by 20% This Year. the Price of Motorcycle Now Is:
A. Rs. 36,000
B. Rs. 38,800
C. Rs. 40,800
D. Rs. 32,000
Answer: C
Explanation: 20% of Rs.34,000 equals 20/100 x 34,000 equals Rs.6800
New price = Rs. 34,000+Rs.6800
= Rs. 40,800
7. An Item Marked at Rs. 840 Is Sold for Rs. 714. the Discount % is:
A. 10%
B. 15%
C. 20%
D. 25%
Answer: B
Explanation: Discount equals Marked Price – Sale Price
= 840 – 714
= Rs. 126
Discount % = (126/840) x 100% = 15%
8. A Person Got an Increase of 10% in His Salary. If His Salary Was Equal to Rs. 50000, Then the New Salary Is:
A. Rs. 55000
B. Rs. 60000
C. Rs. 45000
D. Rs. 65000
Answer: A
Explanation: Previous salary = Rs. 50000
10% of Rs.50000 = (10/100) x 50000 = Rs. 5000
New salary = Rs. 50000 + Rs. 5000
= Rs. 55000/-
9. The Cost of the Article Was Rs. 15500 and Rs. 500 Was Spent on Its Repairing. Suppose it Is Sold for a Profit Equal to 15 Percent. The Selling Price of the Article Is:
A. Rs.16400
B. Rs.17400
C. Rs.18400
D. Rs.19400
Answer: C
Explanation: Total cost = 15500 + 500 = 16000
Profit % = (Profit/Cost price) x 100
Profit = (Profit% x Cost price)/100
P = (15×16000)/100 = 2400
Selling Price equals Profit + cost price = 2400 + 16000 = Rs.18400
10. Waheeda Bought an Air Cooler for Rs. 3300, Including a Tax of 10%. The Price of the Air Cooler Before Value Added Tax Was Added Is:
A. Rs. 2000
B. Rs. 3000
C. Rs. 2500
D. Rs. 2800
Answer: B
Explanation:10% VAT on Rs.100 will make it Rs.110
So, for price including VAT Rs.110, the original price is equal to Rs.100
Then, Price including VAT Rs. 3300, the original price = Rs. (100/110) x 3300 = Rs. 3000
Conclusion
The article has covered the majority of aspects about the Quantities with examples to get proper insights.
FAQs on Comparing Quantities MCQs for Class 8 Maths
1. What are the basic methods for comparing two quantities as per the Class 8 Maths syllabus?
As per the CBSE Class 8 syllabus for 2025-26, the two primary methods for comparing quantities are using ratios and percentages. A ratio compares two quantities in terms of 'how many times', while a percentage compares a part to a whole, expressed as a fraction of 100. Mastering these two concepts is essential for solving most problems in this chapter.
2. What are the key formulas that a student must know for the chapter Comparing Quantities?
To excel in the Comparing Quantities chapter, students should be familiar with these essential formulas:
- Profit and Loss: Profit % = (Profit / Cost Price) × 100 and Loss % = (Loss / Cost Price) × 100.
- Discount: Discount = Marked Price – Selling Price; Discount % = (Discount / Marked Price) × 100.
- Simple Interest (SI): Amount = Principal (1 + (Rate × Time) / 100).
- Compound Interest (CI): Amount = Principal (1 + Rate/100)n, where 'n' is the number of time periods.
3. How does solving MCQs on Comparing Quantities help in exam preparation?
Solving MCQs for this chapter is a highly effective preparation strategy. It helps students to quickly test their understanding of core concepts like percentages, profit & loss, and interest. It also improves calculation speed and accuracy under time pressure, which is crucial for exams. By practising various MCQs, students can identify common traps and learn to apply formulas more efficiently.
4. How is the final bill amount calculated when a discount and GST are both applied to an item?
The calculation is a two-step process:
- First, the discount is calculated on the Marked Price (MP) and subtracted from it to get the Selling Price (SP). (SP = MP - Discount).
- Next, the Goods and Services Tax (GST) is calculated on this new Selling Price. The GST amount is then added to the SP to determine the final bill amount. (Final Price = SP + GST). Remember, GST is applied after the discount has been given.
5. What is the fundamental difference between Simple Interest (SI) and Compound Interest (CI)?
The fundamental difference lies in how the principal amount is treated. In Simple Interest (SI), the interest is calculated only on the original principal amount for the entire duration. In Compound Interest (CI), the interest is calculated on the principal plus the accumulated interest from previous periods. This means the principal for CI effectively increases over time, leading to 'interest on interest' and a larger final amount compared to SI for the same rate and time.
6. Why are overhead expenses important when calculating the actual profit or loss?
Overhead expenses are crucial because they represent additional costs incurred on top of the purchase price, such as for transportation, repairs, or installation. To find the true profit or loss, these overhead expenses must be added to the initial purchase price to determine the total Cost Price (CP). Ignoring these costs would lead to an inaccurate and often inflated profit calculation, which does not reflect the actual financial outcome of the transaction.
7. How can you use percentages to quickly estimate answers in MCQs for Comparing Quantities?
For MCQs, quick estimation is a valuable skill. You can use benchmark percentages to make rapid mental calculations. For example, to find 15% of a number, you can quickly find 10% (divide by 10) and 5% (half of the 10% value) and add them together. This technique helps in eliminating obviously incorrect options and arriving at the correct answer faster without performing lengthy calculations, which is especially useful for problems involving discounts or profit percentages.
8. In what real-life scenarios is comparing quantities most useful for a Class 8 student?
The concepts from Comparing Quantities are used in many daily situations. For example:
- When shopping, you can calculate discounts to find the best deal.
- When checking a restaurant bill, you can verify the GST calculation.
- To understand a bank savings account, you need to know the difference between simple and compound interest.
- Even in sports, statistics like strike rates or winning percentages are examples of comparing quantities using ratios and percentages.
