Converse of Pythagorean Theorem  In this section we are going to see the converse of Pythagorean theorem. We know the Pythagorean theorem applies to right triangles and states that,  The square of the length of the hypotenuse, equals the sum of the squares of the lengths of the other two sides.  (hypotenuse)2 = (Base)2+(Perpendicular)2     […]

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Simple Interest Word Problems  Example 1: What is the simple interest and amount of $ 2000 at the rate of 8% per year for 2 1/2 years. Solution: Principal amount = P = $ 2000 Rate of interest per year = R = 8% Time for which it is borrowed = T = 2 1/2 year Thus, simple […]

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 Problems and Solutions Percentage wise distribution of players who play four different games are given in below pie graph and total number of players are 1200. Example1: What is the total number of players who play cricket and rugby? Solution: Total number of players are 1200, Percentage of players who play cricket = 12% Percentage of players who play rugby […]

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 Convert Percentage into Decimal Converting a percentage into a decimal is an essential skill in mathematics that helps in various calculations, including financial analysis, statistics, and everyday math. Here’s a detailed explanation: Understanding Percentages and Decimals Percentage: A percentage represents a part per hundred. For example, 50% means 50 out of 100. Decimal: A decimal […]

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Bar Graph  Problems and Solutions Example: (1) Favourite colour of 200 students of a class are given in the below table.  Answer the following questions with the help of the bar graph. (1) Which is the most preferred colour and which is the least preferred?(2) How many students preferred red colour? Solution: First we choose a suitable […]

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Word Problems – Percentage – Increase & Decrease           Example 1: Gasoline price in year 2017 is $5.38/gallon, and in 2018 it’s price 5.68. What is the percentage of increase. Solution: Original price of gasoline is = $5.38/gallonNew price = $5.68 price increase = 5.68 – 5.38 price increase  = 0.38/gallon         […]

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Converting Fraction into Percentage Converting a fraction into a percentage involves a simple process. Here’s a detailed explanation with examples to help we understand the steps clearly: Steps to Convert a Fraction into a Percentage 1. Understand the fraction: A fraction consists of two numbers, the numerator (top number) and the denominator (bottom number). A […]

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Percentage:  Solved Problems    When we solve different type of percentage problems then we solved examples on percentage, they will help us to understand problems easily. Now we will learn, the concept of percentage and  solve various real life examples on percentage. Example 1: In a village 35% are females, 50% males and remaining are children, find the […]

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Introduction – Percentage  Definition:  A Percent is a number or ratio expressed as a fraction of 100. In other words, Percent is a fraction of denominator 100. Percent is denoted by the symbol %. ‘Per’ ‘cent’ means out of 100. The percent symbol is written to the right side of the number, like this 15%. Example: 25% (read as twenty five percent)  […]

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