“How much percentage did you get in the exam?” This is one of the most irritating questions that our youngsters and aspirants may face in their entire student life. The percentage of marks achieved in the exams is one of the criteria in today’s society to measure one’s intelligence and potential. Entri won’t believe in that ideology. But Entri strictly believes and advocates that conceptual knowledge and operational knowledge regarding the percentage problems in mathematics is very much required to raise the percentage of any of your competitive examinations including bank exam RRB exam SSC exams etc. Today Entri will be discussing how you can improve performance in percentage problems asked in your ranks in bank exams RRB exams SSC exams etc. through easier way using short tricks and methods.

**The concept of Percentage**

We used to hear the commentary when Sachin is on the pitch with the bat that “Sachin hit a century again”. The word century can only be remembered along with Sachin for all of us. What does that really mean by the term century in Cricket. When a person hits 100 scores in an innings, we say he hit a century. Simply percent means the quantity of saying how much of it is in 100. It is a reference to the unification of a quantity in 100.

If you get 35 marks out of 100. The percentage of your marks is 35%. If you have taken 45 litre of milk from the 100 litre jar, you have taken 45% of milk from the jar. It is as simple as that. So, the question is what if I take 35 litres of milk from a 72 litre of jar? Here comes the conversion into percentage. Because the total composition is not 100, we have to convert it into the reference 100.

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**Difference Between Fraction and Percentage.**

Fraction is the quantity of showing how much in the total given quantity. There is no unified reference for this so, the total composition should be specified. For example, a cake is divided into 6 equal pieces and one of it is taken. The fraction of the cake piece taken will be 1/6. ( 6 is the total composition and 1 is the quantity which we have taken from it.)

So how you convert it into a percentage. Simply convert into 100. Ask yourself how much the fraction is of 100. ie,

(1/6) *100 = 16.67%

Fraction always requires the total composition which is denoted as the denominator of the fraction. (written below the line). Percentage does not need to have since it is evident that the total composition is 100.

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**Sample Fractions and their Percentage Conversions**

Fraction | Percentage |

(1/2) | 50% |

(1/3) | 33.33% |

(1/4) | 25% |

(1/5) | 20% |

(1/6) | 16.66% |

(1/7) | 14.29 |

(1/8) | 12.5% |

(1/9) | 11.11% |

(1/10) | 10 |

(1/1) = 1 | 100 |

**Solving Percentage Problems.**

Solving Percentage problem is complex sometimes. The only question remains before the aspirant is how much is it out of 100. For that we need to calculate the fraction first and convert it into 100. Sometimes the question will be not how much it is or 100. The question is how much is it by providing the percentage. It can be solved by the reverse method.

**Example 1.**

A cake has been sliced into 10 pieces and 40 percent of it is taken by A. The A divided the portion again into 10 slices and gave 1 slice to B. What percentage of cake is in the hands of B compared to the original cake?

- 40%
- 10%
- 4%
- 1%

Here first the B has 1/10 part of slices which A has.

Now what is this 1/10 out of 40 % which A really had out of the total

(1/10) * (40/100) = 4/100 =4%

**Example 2**

50% of 60% of a number is what percentage to the original number?

- 30%
- 40%
- 32%
- 43%

Here there is no total composition given. So we can go for an algebraic solution. But in a competitive examination it will take more time. Here can assume an arbitrary number as 100 to simplify the composition.

So, 60% of 100 =60 itself

50% of 60 = 30

Percentage of 30 out of 100? Simply 30 itself. Answer is 30%

Thus, we can solve all the percentage problems in these two types of methodology.

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**Conclusion**

Even though percentage is not an important factor in analysing your performance but an important factor in determining the percentage and even rank in the competitive examination. Forget about the fear of percentage hereafter with Entri App. Make your studies easy and simple with Entri app exam preparation. Make your percentage of performance to your ability towards 100% with Entri. Keep studying and keep winning.