**Percentage Tricks**

Percentage is very important in competitive examinations, and if you look, you will find that percentage can be used in most topics of arithmetic topic. **Percentage Tricks** 2021 which are given here are most important for any competitive exam. Often questions related to परसेंटेज शॉर्टकट ट्रिक्स are asked in examinations, then in this post we will tell you the easiest way to solve percentage questions using 100% Useful Percentage Tricks.

इस लेख में हम कुछ उपयोगी और सबसे महत्वपूर्ण प्रतिशत शॉर्टकट ट्रिक्स प्रदान करने जा रहे हैं। इन शॉर्ट ट्रिक्स की मदद से शिक्षार्थी सीखेंगे कि बहुत कम समय में प्रतिशत आधारित समस्याओं को कैसे हल किया जाए। क्योंकि सभी प्रतियोगी परीक्षाओं के लिए समय और सटीकता बहुत महत्वपूर्ण पैरामीटर है।

**Percentage Tricks**

**Percentage Formula**

To determine the percentage, we have to divide the value by the total value and then multiply the resultant to 100.

**Percentage formula = (Value/Total value)×100**

*Example:* 2/5 × 100 = 0.4 × 100 = 40 per cent

**How To Calculate The Percentage Of A Number?**

To calculate the percentage of a number, we need to use a different formula such as:

*P% of Number = X*

where X is the required percentage.

If we remove the % sign, then we need to express the above formulas as;

*P/100 * Number = X*

Example: Calculate 10% of 80.

Let 10% of 80 = X

10/100 * 80 = X

X = 8

**Percentage Difference Formula**

If we are given with two values and we need to find the percentage difference between the two values, then it can be done using the formula:

**Tips And Shortcuts On Percentage**

- If the value of an item goes up or down by x%, the percentage reduction or increment to be now made to bring it back to the original point is
- If A is x% more or less than B, then B is less or more than A.
- If the price of an item goes up/down by x %, then the quantity consumed should be reduced by so that the total expenditure remains the same.

**100% Useful Percentage Shortcut Tricks**

Trick 1 |

If of A is equal to y% of B then –

**Example:** What percent of 40 kg is 10 kg?

**Solution: **

Let x percent of 40 kg is 10 kg

**Example:** What percent is 2 kg of 26 kg?

**Solution: **

Let y percent of 26 kg is 2 kg

Trick 2 |

If A is x% more than that of B, then B is less than that of A by

If A is x% less than that of B, then B is more than that of A by

**Example:** If A’s salary is 25% more than B’s salary, then B’s salary is how much lower than A’s salary?

**Solution:**

**Example:** If A’s income is 25% less than B’s income then by what percent is B’s income more than that of A?

**Solution:**

Check Here – __How to Prepare Maths for Competitive Exams__

Trick 3 |

If A is x% of C and B is y% of C, then

**Example:** Two numbers are respectively 20% and 50% of a third number. What percent is the first number of the second?

**Solution:**

**Example: **Two numbers are respectively 24% and 30% of a third number. What percent is the first number of the second?

**Solution:**

Trick 4 |

If a number first increased by x% and then decreased by x%, then the net is always a decrease which is equal to x% of x

Or

**Example:** The salary of a worker first increased by 10%, and later decreased by 10%, what is the net effect on his salary?

**Solution:**

**Example:** The salary of a worker is first increased by 12% and, thereafter it was reduced by 12%, what was the change in the salary?

**Solution:**

Also Check – __Maths Formulas__

Trick 5 |

If the value is increased successively by** x% **and **y%, **then final increase is given by

If the value is decreased successively by** x% **and **y%, **then final increase is given by

If the value first is increased by** x% **and then decreased by **y%, **then there is

decrease or increase, according to the +ve and –ve sign respectively.

If the value first is decreased by** x% **and then increased by **y%, **then there is

decrease or increase, according to the +ve and –ve sign respectively.

**Example:** A number is first increased by 10% and then it is further increased by 20%. The original number is increased altogether by:

**Solution:**

**Example:** The population of a city is decreased by 20% in a year. In the next year, the population is again decreased by 30%. Find percent decrease in the population of the city from the original population.

**Solution:**

**Example:** A number is first increased by 20% and the resulting number is decreased by 10%. What is the overall change in the number as a percentage?

**Solution:**

**Example:** If the price of book first is decreased by 25% and then increased by 20%, the net change in price of the book will be:

**Solution:**

**Download PDF – Percentage Shortcut Tricks (प्रतिशत शॉर्टकट ट्रिक्स)**

**Some More Tricks To Solve Percentage Problems**

Percentage is a fraction whose denominator is always 100. x percentage is represented by x%.

*Calculation of Percentage*

If we have to find y% of x, then

*To express x% as a fraction:*

We know

x% = x/100

Thus 10% = 10/100 (means 10 parts out of 100 parts)

= 1/10 (means 1 part out of 10 parts)

*To express x/y as a percentage:*

We know that x/y = (x/y× 100 )

Thus 1/4 = ( 1/4 ×100 )% = 25%

and 0.8 = ( 8/10 ×100 )% = 80%

*To increase a number by a given percentage (x%):*

Multiply the number by the following factor

*To decrease a number by a given percentage (x%):*

Multiply the number by the following factor

*To find the % increase of a number:*

*To find the % decrease of a number:*

In today’s competition time it is very important to know how much time you are taking in solving the question, because while solving the competition paper we have to take special care of time, so some important 100% useful Percentage Tricks have been provided on this page.

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