Important Comparing Quantities Multiple Choice Questions on Ratio Percentage Profit and Loss
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 with Answers and Solutions
1. What is meant by comparing quantities in Maths?
Comparing quantities in Maths means finding the relationship between two values using ratio, percentage, profit and loss, or simple and compound interest. It helps us understand how much one quantity is greater or smaller than another.
- Used to compare prices, marks, population, etc.
- Expressed in forms like ratio (a:b) or percentage (%).
- Common in Comparing Quantities MCQs in exams.
2. What is the formula for percentage?
The formula for percentage is Percentage = (Part ÷ Whole) × 100. It shows how much one quantity is out of 100.
- Example: If 20 out of 50 students passed, Percentage = (20 ÷ 50) × 100 = 40%.
- Used in profit, loss, discount, and interest calculations.
3. How do you convert a fraction into a percentage?
To convert a fraction into a percentage, multiply the fraction by 100.
- Step 1: Divide numerator by denominator.
- Step 2: Multiply the result by 100.
- Example: 3/5 = 0.6 × 100 = 60%.
4. What is the formula for profit and loss?
The basic formulas are Profit = SP − CP and Loss = CP − SP, where SP is Selling Price and CP is Cost Price.
- Profit% = (Profit ÷ CP) × 100
- Loss% = (Loss ÷ CP) × 100
- If CP = 500 and SP = 600, Profit = 100 and Profit% = 20%.
5. What is the difference between simple interest and compound interest?
The main difference is that simple interest (SI) is calculated only on the principal, while compound interest (CI) is calculated on principal plus accumulated interest.
- SI formula: SI = (P × R × T) ÷ 100
- CI formula: CI = P(1 + R/100)T − P
- CI is always greater than SI for the same values (except when T = 1 year).
6. How do you calculate discount percentage?
Discount percentage is calculated using Discount% = (Discount ÷ Marked Price) × 100.
- Discount = Marked Price − Selling Price
- Example: If MP = 1000 and SP = 900, Discount = 100.
- Discount% = (100 ÷ 1000) × 100 = 10%.
7. How do you find the increase or decrease percentage?
Percentage increase or decrease is calculated as (Change ÷ Original Value) × 100.
- Increase = New Value − Original Value
- Decrease = Original Value − New Value
- Example: Price rises from 200 to 250 → Increase = 50.
- Increase% = (50 ÷ 200) × 100 = 25%.
8. What is the formula for compound amount?
The compound amount is calculated using A = P(1 + R/100)T. Here, A is the final amount, P is principal, R is rate, and T is time.
- Example: P = 1000, R = 10%, T = 2 years.
- A = 1000(1.1)2 = 1000 × 1.21 = 1210.
9. What are common mistakes in comparing quantities MCQs?
Common mistakes include using the wrong base value and confusing percentage formulas.
- Calculating percentage on the new value instead of the original value.
- Mixing up CP and SP in profit-loss problems.
- Forgetting to subtract principal while finding compound interest.
- Ignoring units like years in interest problems.
10. Can you give a solved example of a comparing quantities MCQ?
Yes, a typical Comparing Quantities MCQ may ask to find profit percentage when CP and SP are given.
- Question: CP = 800, SP = 920. Find Profit%.
- Profit = 920 − 800 = 120.
- Profit% = (120 ÷ 800) × 100 = 15%.
