SUPER 100 BHOPAL - Percentage - (MCQ) on Mathematics EXAM PREPARATION
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Let's go over some basics of percentages in mathematics.
Percentage is a way of expressing a portion of a whole as a fraction of 100. It is often denoted by the symbol "%". Percentages are used to compare parts of a whole or to express relative quantities. Here are some fundamental concepts related to percentages:
Converting Percentage to Fraction:
To convert a percentage to a fraction, you simply write the percentage as the numerator of the fraction and 100 as the denominator. Then, you can simplify the fraction if possible. For example:
25% = 25/100 = 1/4
75% = 75/100 = 3/4
10% = 10/100 = 1/10
Converting Percentage to Decimal:
To convert a percentage to a decimal, you move the decimal point two places to the left. For example:
50% = 0.50
15% = 0.15
80% = 0.80
Finding a Percentage of a Number:
To find a percentage of a number, multiply the number by the percentage as a decimal. For example:
20% of 200 = 0.20 * 200 = 40
75% of 80 = 0.75 * 80 = 60
5% of 400 = 0.05 * 400 = 20
Calculating Percentage Change:
To calculate the percentage change between two numbers, use the following formula:
Percentage Change = ((New Value - Old Value) / Old Value) * 100
Percentage Increase and Decrease:
If the percentage change is positive, it's a percentage increase.
If the percentage change is negative, it's a percentage decrease.
Finding the Original Amount:
If you know the percentage increase or decrease and the final value, you can find the original amount using the following formula:
Original Amount = Final Amount / (1 + Percentage Increase/Decrease as a decimal)
For example, if the final amount is $120 after a 20% increase, the original amount would be:
Original Amount = $120 / (1 + 0.20) = $120 / 1.20 = $100
These are some of the basic concepts related to percentages in math. They are commonly used in various real-life situations, such as calculating discounts, interest rates, and understanding proportions. If you have specific questions or need further clarification, feel free to ask!
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