Bookmark Bookmark

Mathematics Shortcuts: Percentage (Part 1)

Mathematics Shortcuts: Percentage (Part 1)

 

Greeting Aspirants,

 

We have discussed some pretty useful mathematical tricks in the previous articles. Like, Cube-roots, Squaring, Simple Interest, Compound Interest and Time and Work. In case you have missed out on them, we strongly recommend you to go through them.

In this article, we will learn how to quickly solve percentage related problems that are quite common in exams like SSC, Banking, Railways etc. This is a 3 part article, in this part, we will the basics of percentage and how to calculate simple percentage problems mentally.

 

First of all, What is the percentage?

 

Percent, as the name suggests, means “Per Cent” i.e. for every 100. Which means, when you are calculating the percentage of a value you are actually calculating the value for every 100 of the reference value. So, when you see the percentage symbol “%” you should know that it means divided by 100. For Example- 11% means 11/100.

 

Moving on, let’s learn how to calculate simple percentage problems mentally.

 

To do this, we have to memorize some basic percentage analogies. For example, when you have to find 50% of a value, you know in your head that 50% means half of the value, so you mentally half the given value and you get your answer.

 

Similarly,

 

1. 100 % of a number is the number itself.

 

2. 50 % of a number is half of it.

 

3. 25 % of a number is one-fourth of the given number.

 

4. 10 % of a number is equal to the number divided by 10.

 

5. 5 % of a number is half of 10 %.

 

Using this, we can solve a wide variety of basic problems

 

Question: What is 15 % of 620?

 

Solution:

 

Normally, we use BODMAS to solve these problems

 

i.e. 15 % of 620 = 15/ 100 x 620

 

Now, this is easy, no doubt about that. But you certainly cant do that in your head.

 

How To Calculate this in Head?

 

It’s Simple, break down 15 % into simpler forms of 10 % and 5 %

 

15% = 10% + 5%

 

Now, we know

 

10 % of 620 will be 620 divided by 10.

 

i.e. 10% of 620 = 62 (Anyone can do it in their head)

 

also 5% of 620 = half of 10% of 620 = 31

 

So, 15% of 620 = 10% of 620 + 5% of 620 = 62 + 31 = 93

 

 

 

Let’s try another one (Try to solve it in your head)

 

Question: What is 55 % of 350?

 

Solution: 55% = 50% + 5%

 

50% of 350 = Half of 350 = 175

 

5 % of 350 = Half of 10% of 350 = Half of 35 = 17.5

 

Hence,

 

55% of 350 = 175 + 17.5 = 192.5

 

Note: Solve as many problems as u can because this is just a tiny part of a Giant topic Percentage.

 

All the Best!!

 

OT Team 

 

You might be interested:

Banking Awareness Capsule 10: NEFT, IMPS & RTGS

Banking Awareness Capsule 10: NEFT, IMPS & RTGS Dear Aspirants, In the previous article, we have discussed Information around RBI (Governor and list of Governor till date). The Banking awareness c ...

7 years ago

NRDC signs MoA with Indian Association for the Cultivation of Science

NRDC signs MoA with Indian Association for the Cultivation of Science National Research Development Corporation has entered into Memorandum of Agreement (MoA) with Indian Association for the Cultiva ...

7 years ago

Daily News Digest, 16th February 2016

Punjab National Bank declares United Breweries (Holdings) as wilful defaulter Punjab National Bank has declared the UB Group holding company United Breweries (Holdings) Ltd as a “willful defaul ...

7 years ago

IAS Current Affairs: CERN's Large Hadron Collider (LHC) recreates the ‘primordial soup’ that began the universe

IAS Current Affairs: February 16, 2016    Kindly Bookmark & Share if you find it relevant to your IAS Exam Preparation. TOPIC: Universe’s ‘primordial s ...

7 years ago

IAS Current Affairs: Companies Law Committee headed by Tapan Ray submits its report 

IAS Current Affairs: February 16, 2016    Kindly Bookmark & Share if you find it relevant to your IAS Exam Preparation. TOPIC: Tapan Ray Committee on Companies Law ...

7 years ago

Performance Review: CTET All India Test 2016

Greetings Aspirants, OnlineTyari in association with G.K Publication  conducted CTET 2016 All India Test on 13th February 2016.  You can view your performance here :  CTET All Indi ...

7 years ago

Provide your feedback on this article: