Tricks to Solve Percentage Problems | Basic Concept, Shortcuts for finding Percentages, Important Formulas and Shortcuts to solve Percentage, Easy Tricks to Calculate Percentages (%), How to Solve Percentage Problems

**Tricks to Solve Percentage Problems** : – Dear Candidates, are you preparing for Banking, Insurance, Competitive Exam or Entrance exams? Candidates will likely need to solve a section on Quantitative Aptitude for sure. Percentage Quiz IBPS, RRB, & SBI will help you learn concepts on an important topic in Numerical Ability Speed, Time & Distance.

Percentage Questions is important for exams such as IBPS PO, IBPS Clerk, IBPS RRB Officer, IBPS RRB Office Assistant, IBPS Specialist Officer, SBI Probationary Officer, SBI Clerk, SBI Specialist Officer, IPPB Bank Scale I Officer, LIC Assistant Administrative officer, GIC AO, United India insurance AO, NIACL AO, NICL AO and others exam.

## How to Solve Percentage Problems

Calculation of Percentage

If we have to find y% of x, then

**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**

**Remember it :**

Percentage | Value |

25% | 1/4 |

6.25% | 1/16 |

125% | 5/4 |

150% | 3/2 |

200% | 2 |

350% | 7/2 |

**If the passing marks in an examination is P%. If a candidate scores S marks and fails by F marks then–**

**Example: –** Pankaj Sharma has to score 40% marks to get through. If he gets 40 marks and fails by 40, then find the total marks set for the examination?

**If a candidate scores marks and fails by a marks while an another candidate scores y% marks and gets b marks more than minimum passing marks, then –**

Example: – Raj scores 30% and fails by 60 marks, while Rohan who scores 55% marks, gets 40 marks more than the minimum required marks to pass the examination. Find the maximum marks for the examination?

**If due to decrements in the price of an item, a person can buy Kg more in y rupees, then actual price of that item –**

**Example: –** Ram can buy 5 Kg more sugar in rupees 100 as the price of sugar has decreased by 10%. Find the actual price of the sugar?

**If in an election, a candidate got of total votes cast and still lose by y votes, the total number of votes cast –**

**Example:** – In an election contested by two candidates, one candidate got 40% of total votes and still lost by 500 votes, find the total number of votes casted?

**If the population of a town is P and it increases or decreases at the rate of R% per annum then –**

**I. Population after ‘n’ years :**

**II. Population ‘n’ years ago :**

Example: – The population of a town is 352800. If it increases at the rate of 5% per annum, then what will be its population after 2 years and 2 years ago?

**If the value of a number is first increased by and again decreased by the net effect is always decreased by**

^{x2}/_{100}%**Example: –**The salary of a worker is first increased by 5% and then it is decreased by 5%. What is the change in his salary?

### Percentage Example

Q1. 32.05% of 259.99 =?

- 92
- 88
- 78
- 90
- 83

Q2. 4.78% of 1255 + 3.24% of 440 = 0.5% of ?

- 14260
- 14492
- 14636
- 14849
- 15002

Q3. 35.05% of 3365 + 8900 ÷ 41.99 = ?

- 1350
- 1390
- 1430
- 1480
- 1530

Question 4. (385% of 463) ÷179 = ?

- 10
- 16
- 24
- 30
- 40

Q5. 84.04% of 1845 + 23.97% of 178.05 = ?

- 1510
- 1530
- 1550
- 1570
- 1590

**Question: – 6**: – In a co-education school there are 15 more girls than boys. If the number of girls is increased by 10% and the number of boys is also increased by 16%, there would be nine more girls than boys. What is the number of students in the school?

- 240
- 225
- 265
- 245
- None of these

**Question: – 7:** – The population of a city increases at the rate of 4% per annum. There is an additional annual increase of 1 % in the population due to the influx of job seekers. Therefore, the % increase in the population after 2 years will be:

- 10
- 25
- 55
- 75

**Question: – 8**: – In a class, 40% of the boys is same as 1/2 of the girls and there are 20 girls. Total number of students in the class is:

- 35
- 45
- 55
- 25

**Question: – 9: –** In a company, there are 75% skilled workers and remaining ones are unskilled. 80% of skilled workers and 20% of unskilled workers are permanent. If number of temporary workers is 126, then what is the number of total workers?

- 500
- 480
- 360
- 345

**Question: – 10:** – The price of petrol is increased by 25%. How much per cent must a car owner reduce his consumption of petrol so as not to increase his expenditure on petrol?

- 25%
- 35%
- 45%
- 15%

**Quantitative Aptitude Exam Syllabus pdf **

**Sequence & Series.****Simplification.****Average****Number Systems.****Profit & Loss.****Percentage.****Simple Interest & Compound Interest****Data Interpretation.****Time & Distance & Speed**

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