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  Ratio and Proportion – Definition, Formula, Examples, and Tricks Introduction                                              Ratio and proportion are two of the most important concepts in mathematics. They help us compare quantities and understand the relationship between different values. These concepts are widely used in school mathematics, Banking, Railway, UPSC, and in everyday life such as cooking, shopping, business, and map reading. In this article, you will learn the meaning of ratio and proportion, their formulas, properties, solved examples, and real-life applications in a simple and easy-to-understand way. What is Ratio? A ratio is a comparison of two or more quantities by division. It shows how much of one quantity exists compared to another. Definition A ratio compares two quantities of the same kind. Formula Ratio = First Quantity : S...

  Complete Percentage Guide                       Percentage is a mathematical concept that means "per hundred" or "out of every 100." The word percentage comes from the Latin words per (for every) and centum (hundred). It was introduced to make comparisons easier because fractions with different denominators (such as 3/5 and 7/10) are difficult to compare directly. By converting all values to a common base of 100 , comparisons become simple and clear. The symbol % represents "out of 100 ." For example, 25% means 25 out of 100, and 100% means the whole quantity. Today, percentages are widely used in examinations, banking, business, discounts, taxes, statistics, and everyday calculations because they provide a standard and easy way to express parts of a whole.       25%=25\100​=0.25   Fractions, decimals, and percentages           ...