Introduction:
Percentages are a way of expressing a fraction or ratio as a fraction of 100.
They are used to represent a portion of a whole or to compare two quantities.
Percentages are used in a variety of fields, including finance, business, and science.
Basics of Percentages:
A percentage is a number that represents a fraction of 100. To convert a fraction or ratio to a percentage, we can multiply by 100. For example, 1/2 can be expressed as 50% because 1/2 x 100 = 50.
Percentages can be used to compare two quantities or to represent a portion of a whole.
For example, if 60% of the students in a class are girls, this means that 60 out of 100 students are girls. If a store is offering a 20% discount on a product, this means that the price of the product is reduced by 20% of its original price.
Percentage Aptitude Questions:
Percentage aptitude questions test the ability to calculate percentages and to solve problems related to percentages.
These questions usually involve finding the percentage of a quantity, finding the quantity given the percentage, or finding the percentage change between two quantities.
Tricks to Solve Percentage Aptitude Questions:
1. Use Proportions:
Proportions can be used to solve many percentage aptitude questions. A proportion is an equation that states that two ratios are equal. For example, if x is 20% of y, we can write the proportion as:
x/y = 20/100
We can use this proportion to find the value of x or y, given the value of the other variable.
2. Use Percent Change Formula:
The percent change formula is used to find the percentage change between two quantities. The formula is:
(percent change) = [(new value - old value) / old value] x 100%
For example, if the price of a product increases from $50 to $60, the percent change is:
(percent change) = [(60 - 50) / 50] x 100% = 20%
3. Use Shortcuts:
There are several shortcuts that can be used to solve percentage aptitude questions quickly. For example:
- To find 10% of a quantity, divide the quantity by 10.
- To find 5% of a quantity, divide the quantity by 20.
- To find 1% of a quantity, divide the quantity by 100.
4. Understand the Given Information:
The first step in solving percentage aptitude questions is to understand the given information. This includes the quantities involved, the percentage given, and the type of question (finding a quantity, finding a percentage, or finding the percentage change). Make sure to read the question carefully and to understand the given information.
By understanding the basics of percentages, practicing regularly, and using these tricks, you can improve your ability to solve percentage aptitude questions quickly and accurately. Remember to use proportions, the percent change formula, and shortcuts where applicable, and to understand the given information. With practice, you can become proficient in solving percentage aptitude questions.