Hey friends, today we are back with new update **quantitative aptitude.** You know this part is most important for the entire government exam as well as private exam. And we know, all of you aware this part in past, but now we are forgot all of these thing learn in 10^{th} standard. Yes we know, all of you know everything about these topics the main reason behind that we have to study in past time but now our mind is totally cleaned to these thing. But Aspirant Don’t stress your mind just see and analysis all of these trick and shortcut you know.

We hope, all of you read our previous article **Time, Speed and Distance;** we share some tips and tricks, formulas and shortcut used in these topics. Today we are sharing some valuable information about **Percentage** topic. As you know that, now day’s **quantitative aptitude** part is compulsory for all civil service exam as well as bank exam. **Percentage** is most important topic in **Arithmetic**. It is also used in many topics like **data interpretation, profit and loss, discount, Partnership and simplification** etc. We are started to level low to high. We are sharing some **solved and unsolved problem of percentage.** And also we are given some short cut and **tips and tricks for percentage problem.** You know, basically bank exam is totally depend on time and accuracy. We are also giving some **percentage problem** in asked in previous year exam so u can easily understand about this topic and which type of question asked in exam.

# PERCENTAGE:

**REMEMBER IMPORTANT TIPS AND TRICKS ABOUT PERCENTAGE TOPIC:**

- Firstly you remember table 1 to 30.
- You remember also reciprocal of 1 to 15.
- Remember also square 1 to 30.
- Learn cube 1 to 20
- Square root – Up to 15
- Cube root-Up to 15

NOTE:All of instruction is helpful for percentage topic as well as solved simplification question in within a second.

**We are covered many topics under percentage given below:**

- Basic concept percentage and of base
- Change of base
- Concept of successive percentage
- Concept of Indexing

**CONCEPT AND BASIC LOGIC OF PERCENTAGE:**

When we are talking about percentage its means Per Cent and Per Hundred.

For example: 12% its means

= 12/100

And you can say .12

So, we can say, to convert any percentage to a number then dived it’s by Hundred.

For example. 3% means .03 and 30% = .3 and 300% =3.

Same concept applies when change to simple number to percent from its multiply by 100.

For example. 2 =200% and, .02 =20%

**REMEMBER RECIPROCAL OF 1 TO 20:**

1/1 | 1% |

1/2 | 50% |

1/3 | 33.33% |

1/4 | 25% |

1/5 | 20% |

1/6 | 16.66% |

1/7 | 14.22% |

1/8 | 12.5% |

1/9 | 11.11% |

1/10 | 0.1% |

1/11 | 9.09% |

1/12 | 8.33% |

1/13 | 7.7% |

1/14 | 7.14% |

1/15 | 6.66% |

1/16 | 6.25% |

1/17 | 5.88% |

1/18 | 5.55% |

1/19 | 5.26% |

1/20 | 5% |

**NOTE:This table is very useful for you.you can easily find out any fraction, ratio and percentage given problem. **

For example. 2/3, 3/4, 5/6 etc.

2/3=1/3 x 2=33.33 x 2=66.66% etc

## PERCENTAGE SOLVED PROBLEM:

Example 1. 38 % of 450 +45 % of 280?

Solution: (38/100) X 450 + (45/100) X 280

=161 +126

=287

TO BE CONTINUE ……………….