How to Solve Percentage Problems Quickly

Inroduction: 

Here we will be more than happy to help you solve percentage problems in competitive exams quickly. 

Percentage problems are quite common in examinations, and by understanding the basic concepts of shortcut methods and practicing different types of questions, you can improve your percentage problem solving and calculation skills quickly and attempt them effectively in a short span of time in examinations. can be solved properly. Let's talk about strategies for solving some common types of percentage problems quickly.

Percentage to Fraction Table

A percentage to fraction will help to solve percentage problems quickly.

Percentage	Fraction	Percentage	Fraction	Percentage	Fraction	Percentage	Fraction
`100%`	`1`	`50%`	`1/2`	`33.33%`	`1/3`	`25%`	`1/4`
`20%`	`1/5`	`16.67%`	`1/6`	`14.28%`	`1/7`	`12.5%`	`1/8`
`11.11%`	`1/9`	`10%`	`1/10`	`9.09%`	`1/11`	`8.33%`	`1/12`
`7.69%`	`1/13`	`7.14%`	`1/14`	`6.67%`	`1/15`	`6.25%`	`1/16`

 Calculation of Percentage:

 Problem:

   What is `25% of 160?`

Solution: 

  To calculate the percentage of a number, you divide the number by the percentage and multiply by `100`.
        

     `25% of 160 = 25/100 xx 160 = 1/4 xx 160 = 40`

  To find the percent increase or decrease:

   Problem: 

      If the price of a product is increased from `₹500` to `₹600`, what is the percentage increase?

   Solution: 

    To find the percentage increase, you need to calculate the difference between the new and old values, divide it by the old value, and multiply by `100`.

        Percentage increase = [`(New price - Old price) / (Old price)`] `xx 100`

        Percentage increase = `(60 - 50) / 50 xx 100 = (10/50) xx 100 = 20%`

    Calculation of Final Value:

     Problem:

        After `20%` discount, the cost of an article is `₹1600`. What was its original price?

    Solution:

     To find the original price after the percentage discount, you divide the discounted price minus the percentage discount by `1`.

        Original price = `(Discounted_Price) / (1-Percent_Discount)`

        Original price = `1600/(1 - 20/100)` = `1600 / (1 - 0.2)` = `1600 / 0.8` = `₹2000`

    To find the percentage of two quantities:

     Problem: 

        In a class of `120` students, `80` are girls. What is the percentage of boys in the class?

     Solution: 

       To find the percentage, divide the part (boys) by the complete (total students) and multiply by 100.

        Percentage = `(120 - 80) / 120 xx 100`

        Percentage = `40/120 xx 100 = 33.33%`

     Sequential Percentage Change:

      Problem: 

        If a number is increased by `20%` and then decreased by `10%`, what is the net percentage change?

      Solution: 

       To find the net percentage change, you can simply add or subtract the percentages and calculate the final percentage change.

        Net Percent Change = Percent Change `1` + Percent Change `2` + (Percent Change `1 xx` Percent Change `2`)/`100`

        Net percentage change = `20 - 10 + (20xx10)/100 = 20 - 10 - 2 = 8%`

By practicing various percentage problems and understanding the underlying short trick concepts, you can develop your percentage calculation skills and improve time management as well as improve your performance in competitive exams. Read the questions carefully and apply appropriate underlying short trick concepts or approaches to solve each problem accurately. Best wishes for your exam preparation.

How to solve various percentage problems quickly. Be sure to watch our master video classes to learn these built-in short trick concepts and develop your percentage calculation skills.

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