Ratio and Percentages
Ratio and Percentages
Ratio and Percentage:
Ratio: The ratio of two quantities 'a' and 'b' of the same kind and in the same units is a fraction which shows that how many times one quantity is of the other and is written as a : b and is read as 'a is to b' where b ≠ 0.
Terms of the ratio: In the ratio a : b, the quantities a and b are called terms of the ratio. Here, 'a' is called the first term or the antecedent and `b' is called the second term or consequent. In the ratio 5 : 9, 5 is called the antecedent and 9 is called the consequent.
Properties of ratio: If the first term and the second term of a ratio are multiplied / divided by the same non-zero number, the ratio does not change.
Ratio in the simplest form: A ratio a : b is said to be in the simplest form if a and b have no common factor other than 1.
Example: Express 15 : 10 in the simplest form.
Solution:
In this we cancelled the common factor 5. Thus, we have expressed the ratio
and the terms 3 and 2 have common factor only 1.
Percentages: The word percent means per hundred.
Conversion of Ratio into Percent:
Example: Convert 3:4 into percent
Solution:
Ratio and Percentage: To express a ratio as percentage we add both the ratios. Then we divide the ratio with the sum of ratios and multiply it with 100.
Example: Express 2:3 as percentage
Solution: First we find the sum of ratios: 2+3 = 5
The divide the first ratio i.e. 2 with 5 and multiply with 100.
The divide the second ratio i.e. 3 with 5 and multiply with 100
Or The second ratio can also be found as 100% - 40% = 60%
Hence, we can express each part of ratio x:y as percentage
Convert 10:40 ratio to percent. | |||
| Right Option : C | |||
| View Explanation | |||
Ratio has _________________ units. | |||
| Right Option : C | |||
| View Explanation | |||
Anisha has a collection of English, French and Spanish books. 34% of them are English, 42% of them are French and there are 72 Spanish books. The total number of books are _________________
| |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [10]
I have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
Yatharthi Sharma
10thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Eshan Arora
8thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
8thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
7thOne of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
10thMy experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
Shivam Rana
7thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
10thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Shreya Shrivastava
8thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
