# Chapter 12 Ratio and Proportion Class 6 Notes Maths

HereÂ Chapter 12 Ratio and Proportion Class 6 Notes Maths is given that is very useful in getting the crux of the chapter.Â NCERT Solutions for Class 6 Chapter 3 Maths that will be useful in the preparation of exams. A student will enjoy the revising process and make themselves capable of retaining more information so they can excel in the exams. Class 6 Maths Revision Notes will provide a quick glimpse of the chapter and improve the learning experience.

Ratio

â€¢ The ratio of two non-zero numbers a and b is the fraction a/b and we write it as a : b read as â€˜a is to bâ€™.

â€¢ In the ratio a : b, we call a the first term or antecedent and b the second term or consequent.

â€¢ Equivalent ratios : On multiplying (or dividing) each term of a ratio by the same non-zero number, we get a ratio equivalent to the given ratio.

â€¢Â Ratio in simplest form : The ratio a : b is said to be in the simplest form if the HCF of a and b is 1.

Methods of comparing quantities

Comparison by taking difference

â€¢ For comparing quantities of the same type, we commonly use the method of taking difference between the quantities. For example: Isha and Neha collected flowers for scrap notebook. Isha collected 20 flowers and Neha collected 35 flowers. So, we may say that Neha collected 35 - 20 = 15 flowers more than Isha.Â

â€¢ Some times the comparison by difference does not make better sense than the comparison by division.

Comparison by Division

â€¢ The comparison of two numbers or quantities by division is known as the ratio. Symbol ':' is used to denote ratio.

â€¢ For example, Ishaâ€™s weight is 25 kg and her fatherâ€™s weight is 75 kg. We say that Ishaâ€™s fatherâ€™s weight and Ishaâ€™s weight are in the ratio 3 : 1.

Proportion

â€¢ If two ratios are equal, we say that they are in proportion and use the symbol â€˜::â€™ or â€˜=â€™ to equate the two ratios.

â€¢ If two ratios are not equal, then we say that they are not in proportion.

Four numbers in proportion

â€¢ Four numbers a, b, c, d are said to be in proportion if a : b = c : d and we write a : b : : c : d. We read it as â€˜a is to b as c is to dâ€™.
Here a, b, c, d are respectively known as first, second, third and fourth terms of the given proportion.

â€¢ The 1st and 4th terms are called the extreme terms or extremes.

â€¢ The 2nd and 3rd terms are called the middle terms or means.

â€¢ In a proportion a : b : : c : d, we always have (a Ã— d) = (b Ã— c). product of extremes = product of means.

Unitary Method

â€¢ The method in which first we find the value of one unit and then the value of the required number of units. For example, the cost of 6 caps is 210. Find the cost of 4 caps. The cost of 6 caps = 210Â
âˆ´ Cost of 1 cap = 210/6
= 35
Hence, cost of 4 caps = 35 Ã— 4 = 140.
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