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
The ratio 5:2 expressed as percent equals to : | |||
| 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 | |||
Ms. Chandok asked his accountant to prepare the balance sheet for reviewing the worth of his company. Part of his balance sheet showing the assets side in given here. On the basis of it answer the following questions. Assets
Non - Current assets
What is the percentage of non - current assets to the current assets ? | |||||||||||
| Right Option : A | |||||||||||
| View Explanation | |||||||||||
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