Percentage Tips and Tricks for Government Exams

Introduction

• Percentage is most important chapter and its shortcut tricks are need to know why because it uses other chapters for calculation like data interpretation chapter so we first learn percentage shortcuts tricks and Percentage is  A fraction or a numerical expression or a ration with 100 assumed as denominator. So we can represent 1 percentage as 1%.
• Anything we learn in our school days was basics and that is well enough for passing our school exams. Now the time has come to learn for our competitive exams. For this we need our basics but also we have to learn something new. That’s where shortcut tricks are comes into action.
  

Theory

• We try to provide all types of shortcut tricks on percentage here. We request all visitors to read all examples carefully. These examples will help you to understand shortcut tricks on Percentage.
• Before starting anything just do a math practice set. Choose any twenty math problems and write it down on a page. Solve first ten math problems according to basic math formula. You also need to keep track of the time. After solving all ten math questions write down total time taken by you to solve those questions. Now go through our page for percentage shortcuts trick. After doing this go back to the remaining ten questions and solve those using shortcut methods. Again keep track of timing. You will surely see the improvement in your timing this time. But this is not all you need. You need more practice to improve your timing more.

Formula

1. We can express 1% as 1/100. (1 part of total 100 part).
   Similarly, we can say 10% as 10/100 (10 part of total 100 part),
   And 50% as 50/100 (50 part of total 100 part).
2. If a student get 40% marks in Math that means student got marks in math is 40 out of 100 of full marks.
3. To Express p/q as a percentage:
   We express it as p/q = (p/qx100)% .
   so we can express like 1/4 = (1/4×100)% = 25%.
   and Now, 0.4 = 4/10 = (4/10 x 100)% = 40%.
4. If the price of a commodity increases by R%, then the reduction in consumption as not to increase the expenditure is [R / (100 + R) x 100]%
5. If the price of a commodity decreases by R%, then the increase in consumption as not to decrease the expenditure is [R / (100 – R) x 100]%
6. Results on Population

   Let the population of  a town be P now and suppose it increases at the rate of R% per annual, then :

   • Population after n years = P(1 + R / 100)ⁿ

   • Population n years ago = P / (1 + R / 100)ⁿ

7. Result on Depreciation
   Let the present value of a machine be P. Suppose it depreciates at the rate of R% per annual, then :

   • Value of the machine after n years =P (1 – R / 100)ⁿ

   • Value of the machine n years ago = P / (1 – R / 100)ⁿ

8. If A is R% more than B, then B is less than A by [R / (100 + R) x 100]%
   If A is R% less than B, then B is more than A by [R / (100 – R) x 100]%

Solved Examples