Class 7 Exam > Class 7 Notes > Mental Math for Class 7 > Mental Maths Questions and Answers: Comparing Quantities
Mental Maths Questions and Answers: Comparing Quantities | Mental Math for Class 7 PDF Download
| Download, print and study this document offline |
Please wait while the PDF view is loading
Page 1
Comparing Quantities
Points to remember:
? When two quantities of same kind are in the same units are
compared by Division, ratio of two quantities is obtained.
? A ratio has no unit.
? A ratio is said to be in simplest form, if its two terms have no common
factor other than one.
? Comparison of two ratios is done by making them fractions with
equal denominators and these ratios are called equivalent or
proportional.
? Another method of comparison is percentage.
? Any simple fraction, decimal fraction or ratio can be converted into
percentage and any percentage can be converted into simple fraction,
decimal or ratio.
Percentage means 'for each 100’; % =
?? ??????
? When S.P. > C.P., there is profit.
? Profit = S.P. - C.P.
? Profit % =
???????????? ?? .?? .
× 100 %
? When C.P > S.P, there is loss
? Loss = C.P - S.P
? Loss % =
???????? ?? .?? .
× 100 %
Page 2
Comparing Quantities
Points to remember:
? When two quantities of same kind are in the same units are
compared by Division, ratio of two quantities is obtained.
? A ratio has no unit.
? A ratio is said to be in simplest form, if its two terms have no common
factor other than one.
? Comparison of two ratios is done by making them fractions with
equal denominators and these ratios are called equivalent or
proportional.
? Another method of comparison is percentage.
? Any simple fraction, decimal fraction or ratio can be converted into
percentage and any percentage can be converted into simple fraction,
decimal or ratio.
Percentage means 'for each 100’; % =
?? ??????
? When S.P. > C.P., there is profit.
? Profit = S.P. - C.P.
? Profit % =
???????????? ?? .?? .
× 100 %
? When C.P > S.P, there is loss
? Loss = C.P - S.P
? Loss % =
???????? ?? .?? .
× 100 %
? Simple Interest =
?????????????????? × ???????? ???? ???????????????? × ???????? ??????
TRICKS
? A number which, when added to terms of a:b makes it equal to the
c:d is
???? -????
?? -??
? A number which, when subtracted from the terms of ratio a:b makes
it equal to ratio c:d is
???? -????
?? -??
? If the sum of two numbers is A and their difference is B, then the
ratio of numbers is given by A + B : A – B
? If a : b :: c : d, then a × d = b × c.
Questions
1. Find the ratio
(a) `4 to 20 paisa (b) 5 kg to 100 gram
2. Convert into percent:
(a)
?? ????
(b)
?? ????
(c)
?? ??
3. Convert into fraction:
(a) 62.5 % (b) 72 % (c) 28 %
4. Find:
(a) 15 % of `500 (b) 75 % of 180 kg
5. Find x if:
(a) 25 : 8 = x : 24 (b) 20 : x = 4 : 35
6. Two amount of money are proportional to 5: 7. If the first is `20, then
what is the other amount?
Page 3
Comparing Quantities
Points to remember:
? When two quantities of same kind are in the same units are
compared by Division, ratio of two quantities is obtained.
? A ratio has no unit.
? A ratio is said to be in simplest form, if its two terms have no common
factor other than one.
? Comparison of two ratios is done by making them fractions with
equal denominators and these ratios are called equivalent or
proportional.
? Another method of comparison is percentage.
? Any simple fraction, decimal fraction or ratio can be converted into
percentage and any percentage can be converted into simple fraction,
decimal or ratio.
Percentage means 'for each 100’; % =
?? ??????
? When S.P. > C.P., there is profit.
? Profit = S.P. - C.P.
? Profit % =
???????????? ?? .?? .
× 100 %
? When C.P > S.P, there is loss
? Loss = C.P - S.P
? Loss % =
???????? ?? .?? .
× 100 %
? Simple Interest =
?????????????????? × ???????? ???? ???????????????? × ???????? ??????
TRICKS
? A number which, when added to terms of a:b makes it equal to the
c:d is
???? -????
?? -??
? A number which, when subtracted from the terms of ratio a:b makes
it equal to ratio c:d is
???? -????
?? -??
? If the sum of two numbers is A and their difference is B, then the
ratio of numbers is given by A + B : A – B
? If a : b :: c : d, then a × d = b × c.
Questions
1. Find the ratio
(a) `4 to 20 paisa (b) 5 kg to 100 gram
2. Convert into percent:
(a)
?? ????
(b)
?? ????
(c)
?? ??
3. Convert into fraction:
(a) 62.5 % (b) 72 % (c) 28 %
4. Find:
(a) 15 % of `500 (b) 75 % of 180 kg
5. Find x if:
(a) 25 : 8 = x : 24 (b) 20 : x = 4 : 35
6. Two amount of money are proportional to 5: 7. If the first is `20, then
what is the other amount?
7. If 80 % students of a class of 45 students like to play cricket, then how
many students don’t like to play cricket?
8. Express the ratio of 12 cm to 25 cm in percentage.
9. Express the ratio of `2 to `10 as a percentage.
10. If CP of 16 articles is equal to SP of 20 articles, then find the gain or
loss percent.
11. 12.5 % more is gained by selling a pen for `88 instead of selling for
`80. Find the CP of pen.
12. A dishonest dealer decides to sell his goods at cost price but uses a
weight of 800 gram for 1 kg weight. Find his gain percent.
13. A sum of money amounts to `1000 in 3 years at a certain rate of
interest and it amounts to `1200 in 4 years at same rate. Find the sum.
14. At a certain rate of simple interest a certain sum doubles itself in 6
years. In how many years will it triple itself?
15. A shopkeeper marks his goods at 20 % above cost price but allows 10
% discount for cash. What is his net profit percent?
16. In what time period will `3000 triples itself, if the rate of interest is
20 % per annum?
17. A fruit basket has 20 apples out of which 30% are rotten. How many
good apples are there in the basket?
18. A team won 8 games this year against 5 games won last year. What is
the percentage increase this year?
19. Sides of two squares are 7.5 cm and 5 cm respectively. Find the ratio
of their areas.
20. Manas saves 35 % from his salary. If his savings is `14000, then what
is his salary?
Page 4
Comparing Quantities
Points to remember:
? When two quantities of same kind are in the same units are
compared by Division, ratio of two quantities is obtained.
? A ratio has no unit.
? A ratio is said to be in simplest form, if its two terms have no common
factor other than one.
? Comparison of two ratios is done by making them fractions with
equal denominators and these ratios are called equivalent or
proportional.
? Another method of comparison is percentage.
? Any simple fraction, decimal fraction or ratio can be converted into
percentage and any percentage can be converted into simple fraction,
decimal or ratio.
Percentage means 'for each 100’; % =
?? ??????
? When S.P. > C.P., there is profit.
? Profit = S.P. - C.P.
? Profit % =
???????????? ?? .?? .
× 100 %
? When C.P > S.P, there is loss
? Loss = C.P - S.P
? Loss % =
???????? ?? .?? .
× 100 %
? Simple Interest =
?????????????????? × ???????? ???? ???????????????? × ???????? ??????
TRICKS
? A number which, when added to terms of a:b makes it equal to the
c:d is
???? -????
?? -??
? A number which, when subtracted from the terms of ratio a:b makes
it equal to ratio c:d is
???? -????
?? -??
? If the sum of two numbers is A and their difference is B, then the
ratio of numbers is given by A + B : A – B
? If a : b :: c : d, then a × d = b × c.
Questions
1. Find the ratio
(a) `4 to 20 paisa (b) 5 kg to 100 gram
2. Convert into percent:
(a)
?? ????
(b)
?? ????
(c)
?? ??
3. Convert into fraction:
(a) 62.5 % (b) 72 % (c) 28 %
4. Find:
(a) 15 % of `500 (b) 75 % of 180 kg
5. Find x if:
(a) 25 : 8 = x : 24 (b) 20 : x = 4 : 35
6. Two amount of money are proportional to 5: 7. If the first is `20, then
what is the other amount?
7. If 80 % students of a class of 45 students like to play cricket, then how
many students don’t like to play cricket?
8. Express the ratio of 12 cm to 25 cm in percentage.
9. Express the ratio of `2 to `10 as a percentage.
10. If CP of 16 articles is equal to SP of 20 articles, then find the gain or
loss percent.
11. 12.5 % more is gained by selling a pen for `88 instead of selling for
`80. Find the CP of pen.
12. A dishonest dealer decides to sell his goods at cost price but uses a
weight of 800 gram for 1 kg weight. Find his gain percent.
13. A sum of money amounts to `1000 in 3 years at a certain rate of
interest and it amounts to `1200 in 4 years at same rate. Find the sum.
14. At a certain rate of simple interest a certain sum doubles itself in 6
years. In how many years will it triple itself?
15. A shopkeeper marks his goods at 20 % above cost price but allows 10
% discount for cash. What is his net profit percent?
16. In what time period will `3000 triples itself, if the rate of interest is
20 % per annum?
17. A fruit basket has 20 apples out of which 30% are rotten. How many
good apples are there in the basket?
18. A team won 8 games this year against 5 games won last year. What is
the percentage increase this year?
19. Sides of two squares are 7.5 cm and 5 cm respectively. Find the ratio
of their areas.
20. Manas saves 35 % from his salary. If his savings is `14000, then what
is his salary?
21. Ankur saves 30 % from his salary. If his salary is `50000, then find
his expenditure.
22. If price of one dozen banana is `72, then find price of 15 such
bananas.
23. Ram purchased an old car for `100000. He spent 10 % of cost price
on its repair. He sold the car for `99000, find his gain or loss percent.
24. Iqbal purchased an old scooter for `20000 and spent 20 % of its CP
on painting and sold the scooter for `30000. Find his gain or loss
percent.
25. If 30 % of y is 150, then find y.
26. If 15 % of x is 60, then find x.
27. A farmer gained 50 % after selling his cow for `15000. Find CP of
the cow.
28. A person sold his motorcycle for `38000 with 5 % loss, find CP of the
motorcycle.
29. Convert the ratio given below into percentage:
(a) 2 : 3 (b) 3 : 5
30. A sum of money triples itself in 25 years. Find the rate of interest.
31. A sum of `2000 invested for 3 years at 6 % per annum. Find the
amount at the end of 3rd year.
32. A sum of `5000 invested for six months at 10 % per annum. Find the
amount at the end of this time period.
33. A sum doubles itself in 10 years. Find rate of interest.
34. 3 kg of flour is enough for 15 people. How much flour is needed for
such 80 people?
35. A dealer buys a radio for `2500 and spends `500 on transportation.
He sells the radio for `3300. Find his gain or loss percent.
Page 5
Comparing Quantities
Points to remember:
? When two quantities of same kind are in the same units are
compared by Division, ratio of two quantities is obtained.
? A ratio has no unit.
? A ratio is said to be in simplest form, if its two terms have no common
factor other than one.
? Comparison of two ratios is done by making them fractions with
equal denominators and these ratios are called equivalent or
proportional.
? Another method of comparison is percentage.
? Any simple fraction, decimal fraction or ratio can be converted into
percentage and any percentage can be converted into simple fraction,
decimal or ratio.
Percentage means 'for each 100’; % =
?? ??????
? When S.P. > C.P., there is profit.
? Profit = S.P. - C.P.
? Profit % =
???????????? ?? .?? .
× 100 %
? When C.P > S.P, there is loss
? Loss = C.P - S.P
? Loss % =
???????? ?? .?? .
× 100 %
? Simple Interest =
?????????????????? × ???????? ???? ???????????????? × ???????? ??????
TRICKS
? A number which, when added to terms of a:b makes it equal to the
c:d is
???? -????
?? -??
? A number which, when subtracted from the terms of ratio a:b makes
it equal to ratio c:d is
???? -????
?? -??
? If the sum of two numbers is A and their difference is B, then the
ratio of numbers is given by A + B : A – B
? If a : b :: c : d, then a × d = b × c.
Questions
1. Find the ratio
(a) `4 to 20 paisa (b) 5 kg to 100 gram
2. Convert into percent:
(a)
?? ????
(b)
?? ????
(c)
?? ??
3. Convert into fraction:
(a) 62.5 % (b) 72 % (c) 28 %
4. Find:
(a) 15 % of `500 (b) 75 % of 180 kg
5. Find x if:
(a) 25 : 8 = x : 24 (b) 20 : x = 4 : 35
6. Two amount of money are proportional to 5: 7. If the first is `20, then
what is the other amount?
7. If 80 % students of a class of 45 students like to play cricket, then how
many students don’t like to play cricket?
8. Express the ratio of 12 cm to 25 cm in percentage.
9. Express the ratio of `2 to `10 as a percentage.
10. If CP of 16 articles is equal to SP of 20 articles, then find the gain or
loss percent.
11. 12.5 % more is gained by selling a pen for `88 instead of selling for
`80. Find the CP of pen.
12. A dishonest dealer decides to sell his goods at cost price but uses a
weight of 800 gram for 1 kg weight. Find his gain percent.
13. A sum of money amounts to `1000 in 3 years at a certain rate of
interest and it amounts to `1200 in 4 years at same rate. Find the sum.
14. At a certain rate of simple interest a certain sum doubles itself in 6
years. In how many years will it triple itself?
15. A shopkeeper marks his goods at 20 % above cost price but allows 10
% discount for cash. What is his net profit percent?
16. In what time period will `3000 triples itself, if the rate of interest is
20 % per annum?
17. A fruit basket has 20 apples out of which 30% are rotten. How many
good apples are there in the basket?
18. A team won 8 games this year against 5 games won last year. What is
the percentage increase this year?
19. Sides of two squares are 7.5 cm and 5 cm respectively. Find the ratio
of their areas.
20. Manas saves 35 % from his salary. If his savings is `14000, then what
is his salary?
21. Ankur saves 30 % from his salary. If his salary is `50000, then find
his expenditure.
22. If price of one dozen banana is `72, then find price of 15 such
bananas.
23. Ram purchased an old car for `100000. He spent 10 % of cost price
on its repair. He sold the car for `99000, find his gain or loss percent.
24. Iqbal purchased an old scooter for `20000 and spent 20 % of its CP
on painting and sold the scooter for `30000. Find his gain or loss
percent.
25. If 30 % of y is 150, then find y.
26. If 15 % of x is 60, then find x.
27. A farmer gained 50 % after selling his cow for `15000. Find CP of
the cow.
28. A person sold his motorcycle for `38000 with 5 % loss, find CP of the
motorcycle.
29. Convert the ratio given below into percentage:
(a) 2 : 3 (b) 3 : 5
30. A sum of money triples itself in 25 years. Find the rate of interest.
31. A sum of `2000 invested for 3 years at 6 % per annum. Find the
amount at the end of 3rd year.
32. A sum of `5000 invested for six months at 10 % per annum. Find the
amount at the end of this time period.
33. A sum doubles itself in 10 years. Find rate of interest.
34. 3 kg of flour is enough for 15 people. How much flour is needed for
such 80 people?
35. A dealer buys a radio for `2500 and spends `500 on transportation.
He sells the radio for `3300. Find his gain or loss percent.
36. At what rate percent per annum will `8000 amounts to `10000 in a
year?
37. 15 persons finish a work in 30 days, how many days will be taken to
finish the same work by 5 persons?
38. The first three numbers of a proportion are 8, 10 and 12. Find the
fourth number.
39. The ratio of three angles of a triangle is 3:4:5. Find the smallest angle.
40. Ratio of calcium, carbon and oxygen in chalk is 8: 3: 9. Find the
percentage of carbon in the chalk.
41. A library contains 50 % of books in Hindi, 30 % of books in English
and remaining 300 books are in Punjabi. Find total number of books
in library.
42. The population of a town has increased from 80000 to 92000. Find
the percentage increase in population.
43. There are 12 boys and 8 girls in a class. Find the percentage of girls
in the class.
44. What percentage of 5 km is 200 meter?
45. Annual income of a person is `800000. If his salary increases 5 % per
annum, what will be his salary after 2 years?
46. What is the ratio of 6 minutes to 1 hour?
47. If 3 : x :: 9 : 15 find x.
48. 70 % of a number is 28. Find the number.
49. If ratio of the cost price and selling price of an article is 5 : 6, then
find the gain or loss percent.
50. A man buys balloons at the rate of 3 balloons for a rupee and sells
them at the rate of 2 balloons for a rupee. Find his gain or loss
percent.
Read More
|
77 videos|25 docs
|
FAQs on Mental Maths Questions and Answers: Comparing Quantities - Mental Math for Class 7
| 1. How can I compare quantities in mental maths? |  |
Ans. To compare quantities in mental maths, you can use various methods such as using the greater than (>), less than (<), or equal to (=) symbols, or by finding the difference between the two quantities.
| 2. What are some tips for comparing quantities quickly in mental maths? | |
Ans. Some tips for comparing quantities quickly in mental maths include rounding numbers, estimating values, and using mental math strategies like breaking down numbers into smaller parts.
| 3. When comparing quantities, what should I do if the units are different? | |
Ans. If the units are different when comparing quantities, make sure to convert them to the same unit before making the comparison. This will ensure an accurate comparison.
| 4. Can visual aids be helpful in comparing quantities in mental maths? | |
Ans. Yes, visual aids such as bar models, number lines, or diagrams can be very helpful in comparing quantities in mental maths. They provide a visual representation that can make the comparison easier.
| 5. How important is practicing comparing quantities in mental maths? | |
Ans. Practicing comparing quantities in mental maths is crucial as it helps improve your mental math skills, enhances your ability to estimate values, and boosts your overall mathematical proficiency.
Related Exams
About this Document
|
Dec 25, 2024 Last updated |
Document Description: Mental Maths Questions and Answers: Comparing Quantities for Class 7 2024 is part of Mental Math for Class 7 preparation.
The notes and questions for Mental Maths Questions and Answers: Comparing Quantities have been prepared according to the Class 7 exam syllabus. Information about Mental Maths Questions and Answers: Comparing Quantities covers topics
like and Mental Maths Questions and Answers: Comparing Quantities Example, for Class 7 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Mental Maths Questions and Answers: Comparing Quantities.
Introduction of Mental Maths Questions and Answers: Comparing Quantities in English is available as part of our Mental Math for Class 7
for Class 7 & Mental Maths Questions and Answers: Comparing Quantities in Hindi for Mental Math for Class 7 course.
Download more important topics related with notes, lectures and mock test series for Class 7
Exam by signing up for free. Class 7: Mental Maths Questions and Answers: Comparing Quantities | Mental Math for Class 7
Description
Full syllabus notes, lecture & questions for Mental Maths Questions and Answers: Comparing Quantities | Mental Math for Class 7 - Class 7 | Plus excerises question with solution to help you revise complete syllabus for Mental Math for Class 7 | Best notes, free PDF download
Information about Mental Maths Questions and Answers: Comparing Quantities
In this doc you can find the meaning of Mental Maths Questions and Answers: Comparing Quantities defined & explained in the simplest way possible. Besides explaining types of
Mental Maths Questions and Answers: Comparing Quantities theory, EduRev gives you an ample number of questions to practice Mental Maths Questions and Answers: Comparing Quantities tests, examples and also practice Class 7
tests
|
Explore Courses for Class 7 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
study material
,past year papers
,practice quizzes
,Important questions
,Objective type Questions
,MCQs
,Summary
,Extra Questions
,Previous Year Questions with Solutions
,Viva Questions
,Free
,Exam
,mock tests for examination
,shortcuts and tricks
,Mental Maths Questions and Answers: Comparing Quantities | Mental Math for Class 7
,Mental Maths Questions and Answers: Comparing Quantities | Mental Math for Class 7
,ppt
,Mental Maths Questions and Answers: Comparing Quantities | Mental Math for Class 7
,video lectures
,Semester Notes
,Sample Paper
;
Additional Information about Mental Maths Questions and Answers: Comparing Quantities for Class 7 Preparation
Mental Maths Questions and Answers: Comparing Quantities Free PDF Download
The Mental Maths Questions and Answers: Comparing Quantities is an invaluable resource that delves deep into the core of the Class 7 exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the Mental Maths Questions and Answers: Comparing Quantities now and kickstart your journey towards success in the Class 7 exam.
Importance of Mental Maths Questions and Answers: Comparing Quantities
The importance of Mental Maths Questions and Answers: Comparing Quantities cannot be overstated, especially for Class 7 aspirants.
This document holds the key to success in the Class 7 exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
Mental Maths Questions and Answers: Comparing Quantities Notes
Mental Maths Questions and Answers: Comparing Quantities Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to Mental Maths Questions and Answers: Comparing Quantities.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, Mental Maths Questions and Answers: Comparing Quantities Notes on EduRev are your ultimate resource for success.
Mental Maths Questions and Answers: Comparing Quantities Class 7
The "Mental Maths Questions and Answers: Comparing Quantities Class 7 Questions" guide is a valuable resource for all aspiring students preparing for the
Class 7 exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study Mental Maths Questions and Answers: Comparing Quantities on the App
Students of Class 7 can study Mental Maths Questions and Answers: Comparing Quantities alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Mental Maths Questions and Answers: Comparing Quantities,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Mental Maths Questions and Answers: Comparing Quantities is prepared as per the latest Class 7 syllabus.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup