Complete Percentage In One Shot

Описание: 🔹 Introduction
Percentage is one of the most important topics in Mathematics. The word percentage means “per hundred”. It is used to express a number as a part of 100. Percentage is widely used in daily life such as marks, profit and loss, discount, population, interest, comparison of quantities, etc. The symbol of percentage is %.
🔹 Basic Concept of Percentage
1% = 1/100
x% = x/100
100% = Whole quantity
To convert fraction into percentage, multiply by 100
To convert decimal into percentage, multiply by 100
Examples
1/4 = 25%
0.75 = 75%
0.2 = 20%
🔹 Important Percentage Formulas
1️⃣ Percentage Formula
2️⃣ Finding Value using Percentage
3️⃣ Increase in Percentage
4️⃣ Decrease in Percentage
5️⃣ New Value after Increase
6️⃣ New Value after Decrease
🔹 Percentage Change Formula
🔹 Short Tricks for Percentage (Very Important 🔥)
✔ Interchange Trick
x% of y = y% of x
Example:
20% of 40 = 40% of 20 = 8
✔ 10% Trick
10% = move decimal one place left
Example:
10% of 350 = 35
✔ 5% Trick
5% = Half of 10%
Example:
5% of 200 = 10
✔ 20% Trick
20% = Double of 10%
Example:
20% of 90 = 18
✔ 25% Trick
25% = One-fourth (¼)
Example:
25% of 80 = 20
✔ 50% Trick
50% = Half (½)
Example:
50% of 120 = 60
✔ 75% Trick
75% = 3/4
Example:
75% of 200 = 150
🔹 Multiplication Shortcut (Fast Method)
Increase by x% → Multiply by (1 + x/100)
Decrease by x% → Multiply by (1 − x/100)
Examples:
Increase 500 by 10% → 500 × 1.10
Decrease 800 by 25% → 800 × 0.75
🔹 Important Fraction–Percentage Table
1/2 = 50%
1/3 = 33⅓%
2/3 = 66⅔%
1/4 = 25%
3/4 = 75%
1/5 = 20%
1/8 = 12.5%

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