Friday, 31 March 2017

Percentage Problems for Bank Exams - Part I

percentage problems

The quantitative aptitude section in SBI PO and IBPS PO definitely would include questions from the topic, percentage. We had earlier discussed what is percentage and the basic concepts related to percentage.

Let us now provide you with a guide on how to solve percentage problems for bank exams. This guide has been divided into 18 models for easier understanding. These are essentially the 18 different types of percentage related questions that one can encounter when writing any bank exam.

Model 1: One of the common questions that you would face in any bank exam is to find the total salary of the person based on his monthly budget. 

Example 1: Sameer spends 20% of his monthly salary on house rent, 25% on food, 10% on transportation, 15% on the education of his children, and 18% on other household expenses. He saves the remaining amount of ₨. 4800 at the end of the month. What is his monthly salary?

Solution:
Monthly Salary = Total value = 100%
Monthly Expenditure = 20% + 25% + 10% + 15% + 18% = 88%
Monthly Savings = 100% - 88% = 12% = 4800

Monthly Salary = 12% = 4800
100% = x
By Cross multiplication, x = (4800* 100)/12 = Rs. 40,000

Similarly, in the same problem, we can use cross multiplication to find any of his expenditure; house rent, food, transportation etc.

Example 2: Gaurav spends 40% of his allowance on hostel expenses, 20% on books and stationary, and 50% of the remaining on transport. He saves Rs. 450, which is half of the remaining amount after spending on the hostel expenses, books and stationary and transport. How much is his allowance?

Solution:
Monthly allowance = Total value = 100%
HE + BS = 40% + 20% = 60%
Remaining amt = 100% - 60% = 40%
Transport = 50% of remaining = 50% of 40% = 20%
Total Expenditure = 60% + 20% = 80%
Remaining amt = 100% - 80% = 20%

Half of remaining ⇒ 50% of 20% = 10% = 450
Total allowance  100% = x
By Cross multiplication, x = (450* 100)/10 = Rs. 4500

The trick to solving percentage questions on monthly salary or expenditure is by considering the total amount to be 100% and then, finding the remaining amount, or whatever value is required according to the question.

Model 2: The next most common type of question that you would face in any bank exam is to calculate the percentage of a percentage.

Example 1: Prerna decided to donate 30% of her monthly income to orphanages. But on the day of donation, she changed her mind and donated Rs. 4200, which is 70% of what she had earlier decided. What should be her actual donation as per her earlier decision?

Solution: 
70% of 30% = 4200
⇒ (70*30/100)% 
⇒ 21% = 4200
⇒ 30% = x
By Cross multiplication, x = (30 * 4200)/21 = Rs. 6000

Example 2: The price of a car is Rs. 5,00,000. It was insured for 90% of its price. The car got completely damaged and the insurance company paid only 80% of the insured amount. What is the price of the difference between the price of the car and the amount of insurance received?

Solution:
Total value = 100% = 5,00,000
Insurance received (B) = 80% of insured amt
⇒ 80% of 90%
⇒ (80*90/100)% = 72%

Price of the car (A) = 100%
Difference% of A – B = 28%
Difference amt = 28% = x
100% = 5,00,000
By Cross multiplication, x = (28*5,00,000)/100 = Rs. 1,40,000

Model 3: Another common frequently asked questions in bank exams related to the concept of percentage is election between two or more people

Example 1: In an election between two candidates, the winner secured 58% of the total votes cast and wins by a majority of 2400 votes. How many votes did the losing candidate get?

Solution:
Total votes cast = 100%
Winner gets = 58%
Loser gets = 100 – 58 = 42%

Majority = Votes secured by winner – Votes secured by loser
⇒ 58% - 42% = 16% = 2400
Votes by the losing candidate = x = 42%
By Cross multiplication, x = (42 * 2400)/16 = 6300 votes

Example 2: In a college election between 2 students, 10% of the votes cast is invalid. The winner gets 70% of the valid votes and defeats the loser by 1800 votes. How many votes were cast in total?

Solution:
Total votes cast = 100%
Invalid votes = 10%
Valid votes = 100 – 10 = 90%

Winner gets = 70% of 90%
⇒ (70 * 90)/100% = 63%
Loser gets = Valid votes – Winner votes
⇒ 90% - 63% = 27%

Majority = Votes secured by winner – Votes secured by loser
⇒ 63% - 27% = 36% = 1800
Total votes cast = 100% = x 
By Cross multiplication, x = (100 * 1800)/36 = 5000 votes

Similarly, we can also find out the number of valid votes cast, since we have the value of one percentage.

Point to remember:
When a question like this mentions a percent of a percent, like here, the winner gets 70% of the 90%, it is easy to confuse the votes secured by the loser to be 90% minus 70%. One must remember that the difference of 20% is not an indication of the total percentage of votes secured by the loser.

Because it is 20% of the valid votes and not the total votes cast.

There are 15 more different types of percentage problems that we have identified as frequently-asked questions for any bank exams. Check out our next blog to know more about how to solve various percentage problems for bank exams. And never stop practicing!

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What Is Percentage & Shortcuts to Calculate Percentage For Bank Exams

What is percentage
Percentage is an important concept from the Quantitative Aptitude section for any competitive exam, and more so for the bank exams such as SBI PO or IBPS PO.

Understanding percentages would help us with other mathematical concepts such as Profit & Loss, Simple Interest, Compound Interest and Data Interpretation where the questions are based on the concept of percentages. So, once you master percentages, you can easily solve problems from other mathematical concepts.

What Is Percentage?

A percentage describes how many parts there are out of one hundred parts of a particular thing. When we say percent, we are actually saying “per cent” which means, ‘per hundred’ or ‘for every hundred’.

So, when we say 50%, we actually mean to say 50 per 100.

Percentage Defined As Fraction

Percent of something must make you think "divided by 100".

75% really means 75⁄100
12% really means 12⁄100

In the examples above, the denominator is always 100. 

Hence, a percentage can also be defined as a fraction where the denominator is always 100 and the numerator is called rate percent. 


Why Is The Concept Of Percentage Important?

Example 1: Two kids appear for different exams, where student A scores 60, and student B scores 80. Since 80>60, it is easy to assume that B must be a better student than A.

However, let us now consider the total marks for each of these exams. Total marks in the exam that student A appeared for is, let’s say, 100 and that of student B is 200.

This means;
Student A scored 60/100
Student B scored 80/200, which in turn means he scored 40/100

Now, as (60/100) > (40/100), we can conclude that student A has fared better in his exam. Here, student A has scored 60% against that of student B who has scored only 40% in his exam. 

We, thereby understand to never compare the performance of students with the actual marks but by the percentage of marks scored. 

When we take into consideration performance of students in terms of the percentages scored, we make the scale common for all students, irrespective of the maximum marks scored.

Percentages are also used when calculating profit and loss. Hence, we use percentages to make the comparisons simple.


How To Calculate Percentage?

Let us see how to convert a percentage into a fraction and vice versa:

Percentage to Fraction

Example 1: 50% = 50/100 = ½
⇒ 50% = ½

Example 2: 25% = 25/100 = ¼
⇒ 25% = ¼

Hence, to convert a percentage into a fraction, we need to divide the percentage value by 100.

Fraction to Percentage

Similarly, to convert any fraction into a percent, multiply the given value with 100.

Example 1: 3/8 * 100 = 37.5%
Example 2: 2/5 * 100 = 40%

This is the definite relationship between a percent and a fraction. 

What is Percentage Equation?

percentage formula

Example 1: 40% of 600 = 40/100 * 600 = 240

As you can see here, there are three types of values in the given equation:

  1. i. Percentage value: 40%
  2. ii. Maximum value: 600
  3. iii. Actual value/absolute value: 240

In a percentage problem when any two of these values are given, we can easily calculate the third.

Example 2: 60% of x = 360

Step 1: 60/100 * x = 360
Step 2: x = 6*100 = 600

Solution: 60% of 600 = 360

Example 3: x% of 900 = 720

Step 1: x/100 * 900 = 720
Step 2: x = 720/9 = 80

Solution: 80% of 900 = 360

Percentage Shortcuts

Let us continue with Example 1 of the Percentage Equation = 40% of 600
Let us consider the maximum value to be 100, instead of 600

100% = 600
40% = x

Solution: By cross multiplication:
x = 40*600/100 = 240

In the method above, one of the percentage value is specified while you are required to find the other percentage. And that can be done by cross multiplying. With this method, we can solve the percentage problem quickly.


Percentage Concepts

percentage formula

Here’s why:

concept of percentage

Example 1: 36% of 50 = 50% of 36 = 18 (which is nothing but half of 36)

How To Calculate Percentage Increase?

Example 1:
A’s salary = 40,000
Increased by 25%

A’s New salary = 40,000 + 25/100 * 40,000
= 40,000 +10,000
= 50,000

Example 2:
A’s salary = 40,000
Decreased by 20%

A’s New salary = 40,000 – 20/100 * 40,000
= 40,000 – 8000
= 32,000

If you understand these simple concepts of percentages well, you can easily solve problems from the quantitative aptitude section regarding percentages. With hard work and strategic practice, you could be one of the 2000 candidates to crack the bank exams.

practice questions for bank exams

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Aspiring to Be a Teacher? Know more about the Job

teaching career

Does the chatter of children put a smile on your face? Do you look forward to something new every day? Do you take pride in being the instrument of someone else’s achievement? Do you like to make a difference?

If your answer to some of these questions is ‘YES!’, then a teacher’s job is just right for you.

What makes a teacher successful?

It’s not enough to aspire to a teaching career. If you want to succeed as a teacher, here are a few thoughts that you must consider:

Be encouraging: Not every student has the confidence to put his/her best foot forward. You have to judge the needs of every student and help him/her give his/her best. Children, especially when they are too young to understand, can be very cruel to someone who doesn’t fit the norm. A good teacher ensures that no child is left behind or made a misfit. The weakest must not only survive but thrive.

Decide the dose of discipline: The days of sparing the rod and spoiling the child are passé. It is necessary to be firm about things like behaviour in class, tidy work, and timely homework. Many children, particularly adolescents, are rebellious and an authoritarian manner often proves to be counter-productive. A successful teacher is a master of the iron hand in the velvet glove, firm but understanding. Never make the mistake of losing authority to popularity. It’s nice to be liked, but certainly not enough.

The use of praise: Students need encouragement, but it makes no sense to praise work that is only a percentage of what the student is capable of. Use praise judiciously and when deserved. Encourage the student to earn praise.

The mutating classroom: Teaching needs are constantly evolving. Syllabuses change; students grow up, and generational changes take place with the Tab of today replacing the paper of yesteryears; new methods of teaching are in demand. As a teacher, you will have to welcome these changes and adapt to them.  Successful teachers keep on learning.

Sandwiched between the parent and student: You have to keep communication with parents ongoing and open. Share your concerns and listen to theirs. Just keep in mind that both parents and teachers have a common goal- doing their best for the student. Many a time, it has been the teacher who has successfully solved the problems of a child when a parent could not.

The terrific three of a successful teacher would be Confidence, Spontaneity, and Creativity.

Just remember: when school friends get together in adult life, sometimes many, many years down the line, they never speak of the great textbook or lesson from school. They talk of the teacher they loved or the interest in a subject that a teacher kindled in them. That is the kind of teacher you would want to be.

Teaching jobs in India

Given the level of overpopulation in India, though a school seems to have sprung up in every lane and by-lane, we have insufficient schools and insufficient teachers.

Still, one cannot deny that literacy is certainly on the rise. When we talk of literacy, our aim is not to count the number of PhDs. We have to set a modest target of at least educating our masses up to the 10th class. This thought gave birth to the Right to Education Act which envisages free and compulsory education to children between the ages of 6-14 years.

Social change is always difficult and slow to come. Education is a very powerful tool of change and is rightly the national priority.

CTET & TET

In keeping with the spirit of the RTE, the Government of India also felt that the quality of teachers and schools should match these high ideals. The Central Teacher Eligibility Test (CTET) and the Teacher Eligibility Test (TET) aim to standardise the quality of teaching staff. CTET/TET certifications are compulsory for teachers to get employment into government or government-aided schools.

Of course, teaching may be its own reward, but an attractive salary and an enjoyable workplace are important too. All of these can be yours if you get a good CTET ranking.

In 2016, approximately 8 lakh candidates appeared for the CTET. Obviously, teaching jobs are in high demand. It would be a wise decision to invest time and effort with a good training institute that will help you score high in this test.

TalentSprint understands your aspirations and commends your choice of a teaching career. A teacher helps to mould the future citizens of this country and, as such, holds the future of the country in the palms of his/her hands.

You have it in you to enable students to realise their dreams.

Let us help you realise yours.
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Thursday, 30 March 2017

CTET Recruitment Details 2017

Teacher

March is here! All those of waiting to write the Central Teacher Eligibility Test must be waiting anxiously for the notification. It should be sometime soon, so it would be helpful to quickly go through the details of the CTET in general, and the eligibility criteria in particular.

The Central Board of Secondary Education (CBSE) conducts the CTET twice every year. Generally, the first CTET is in February and the second in September of the year. So 2017 seems to be seeing some delays.

Why is a centralised test necessary?

The powers that be in India are well aware of the importance of education. It is the tool to raise the standards of living; enlightened minds lead to enlightened lives, stability, and a thriving nation.

The CTET is part of the initiative to realise the goals of the Right of Children to Free and Compulsory Education Act.

The test aims to improve standards of Indian educational institutions by improving the quality of teachers.

The CTET also aims at setting the national benchmark for teaching and teacher quality.

What makes CTET so desirable?

Qualifying in a state-run Teacher’s Eligibility Test (TET) or the CTET is now mandatory for all those aspirants looking to be primary and middle school teachers.

The CTET ranking is valid for seven years, and there is no cap on the number of attempts.

Passing CTET is compulsory for all CBSE schools since March 2012. The best of teaching jobs in central government and aided schools. Many state-run and aided schools also accept CTET rankings, especially when they do not hold the TET.

Many prestigious private schools also consider this exam ranking.

Who is eligible to write the CTET?

To become a primary school teacher for Classes I-V, the candidate should have passed:
  1. SSC or its equivalent with a minimum of 50% marks + passed or appearing for a 2-year diploma in Elementary education. 45% marks in SSC are acceptable if the Diploma in elementary education is as per NCTE (Recognition Norms and Procedure), Regulations, 2002.
  2. SSC or its equivalent with a minimum of 50% marks + passed or appearing in the final year for a 4-year Bachelor of Elementary Education
  3. SSC or its equivalent with a minimum of 50% marks + passed or appearing in the final year for a 2-year Diploma in Special Education.
  4. Graduation + passed or appearing in final year of 2-year Diploma in Elementary Education 
To become a teacher for Classes VII-VIII, the candidate should have passed:
  1. Graduation + passed or appearing in final year of 2-year Diploma in Elementary Education
  2. Graduation with at least 50% marks + passed or appearing in 1-year Bachelor in Education (B.Ed).
  3. Graduation with at least 45% marks + passed or appearing in 1-year Bachelor in Education (B.Ed), in accordance with the NCTE (Recognition Norms and Procedure) Regulations issued from time to time in this regard.
  4. SSC or its equivalent with at least 50% marks + passed or appearing in final year of 4- year Bachelor in Elementary Education (B.El.Ed).
  5. SSC or its equivalent with at least 50% marks + passed or appearing in final year of 4- year B.A/B.Sc.Ed or B.A.Ed/B.Sc.Ed.
  6. Graduation with at least 50% marks + passed or appearing in 1-year B.Ed. (Special Education). 
Are you eligible? We suggest you read through the qualifications carefully.

Is the CTET difficult? ‘What is the cut-off?’

A candidate should score at least 60% to qualify.

The cut-off is the minimum score that is set by the CBSE taking various parameters into consideration. Only those candidates who qualify for the CTET cut-off will get the eligibility certificate.

The CTET pattern

This is a multiple choice online test.

There are two papers:

Paper I for teachers of Classes I-V is for a duration of two and a half hours. The subjects are Child Development & Pedagogy, Language I,
Language II, Mathematics, and Environmental Studies. Each paper has 30 questions which carry 30 marks; this makes it 150 questions in all for 150 marks.

Paper II for teachers of Classes VI – VIII is also for a duration of two and a half hours. The compulsory papers are Child Development & Pedagogy, Language I, and Language II, each carrying 30 marks for 30 questions. The fourth paper will have 60 questions for 60 marks and will be in either Science & Mathematics (for aspirants with a science background) or Social Science (for aspirants with an Arts background).  So, once again, 150 questions carrying 150 marks will have to be answered.

The one thing to be thankful for is that there is no negative marking.

If you aspire to be a teacher for Classes VI–VIII, you will have to pass both papers, but not necessarily at the same time; for example, you can write Paper I in March 2017 and Paper II in September 2017 or even later, in 2018. Your CTET ranking each time is valid from the date that it has been issued for 7 years.

Pause for thought

Every year almost 8 lakh candidates appear for the CTET. Unfortunately only a few thousand clear the exam.

Do not underestimate the concentration, speed, and stamina to answer one question within one minute for 150 minutes.

So PREPARE. If you haven’t put in the effort already, it is not too late: remember that the CTET is conducted twice in a year. Enroll with an experienced institute with dedicated and talented faculty.

Video lessons, live problem solving, practice and mock tests, lessons and teaching with a sharp focus on Child Development & Pedagogy will help you score well in the CTET.

If you do not have access to the internet at home, get access to online courses at a centre near you.

Don’t delay. The early bird WILL get the worm!
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30 day structured plan to score well in SBI PO Prelims 2017.

SBI PO Prelims 2017

SBI PO Prelims exam is a competitive exam with a moderate to difficult rating. The competition is fierce and aspirants not only need to toil with determination and sincerity but also make a clear cut plan.

Bank Exams Practice Kit

Prelims are based on Mathematics, English & Computers and are divided into 3 sections, namely – quantitative analysis, reasoning and English language. The paper has a total of 100 questions which carry one mark each; 35 questions are based on quantitative analysis and reasoning ability while 30 are based on English language. The aspirant has to pass a basic score in each of the 3 sections.

Once you clear the Preliminary examination, you qualify to take the main exam.
SBI PO Preparation or SBI PO Preliminary Exam Preparation in 30 days is definitely not an easy task but can be accomplished if you chart out a basic plan. List all the chapters in each subject and leave enough time for taking mock tests and for doing analysis. Setting daily goals is an absolute must, so begin by making a chart date-wise and ticking off as you go.

During SBI PO Preparation or SBI PO Preliminary Exam Preparation, plan on mainly studying for the first 20 days and keep the last 10 days for mock tests. Before you begin, be sure to buy some of the books available. Also, go online on relevant sites. These will have material which will not only help you to study but will also pose questions chapter wise giving you the required revision as you move forward with the curriculum. Do devote more time to chapters/subjects you find difficult but do not ignore the ones you find easy for they will help you in upping the score. Spend some time on reading skills every day so that you get used to speed reading on the screen. It is important to read the newspapers everyday and it is of utmost importance to be well informed about current affairs for they form a chunk of the questionnaire.

Given below is a 30 day plan for SBI PO Preparation or SBI PO Preliminary Exam Preparation but feel free to shuffle lessons/chapters, making to suitable for you:

     ENGLISH
   REASONING
 MATHEMATICS
DAY 1-3
Full Grammar including adjectives, adverbs, articles, phrases & clauses.
Coding, decoding, blood relatives, missing series.
Coding, decoding, blood relatives, missing series.
DAY 4-6
Verbs & Pronouns.
Idioms & Phrases.
Active & Passive voice
Analysis
Syllogism
Analogy
Percentages & Averages
Ratios & Proportions.
DAY 7-9
Direct & Indirect Speech
Tenses
Number Ranking
Inequalities
Test of Direction Sense
Simple & Compound Interest.
Time & Speed
Problems on Numbers & Ages.
DAY 10-12
Speed Reading
Auxillary & Modals
Cloze Test
Order & Ranking
Critical Reasoning
Time & Work
Mixture & Alligation
Boats & Streams
DAY 13-15
Para Jumbles
Prepositions, Interjections & Conjunctions
Cloze Test
Puzzles
Alphabet based problems
Profit & Loss
Data Interpretation
Probability

DAY 16-18
Cloze Test
Revision of Grammar
Begin Revision:
Chapters 1 - 8
Revision:
Chapters 1 - 8
DAY 19-20
Cloze Test
Revision Tests
Revision:
Chapters 9 - 12
Revision:
Chapters 9 - 14
DAY 21-29
Practice Mock 1 – 9
& Analysis
Practice Mock 1 – 9
& Analysis
Practice Mock 1 – 9
& Analysis
DAY 30
Take more mock tests to make you perfect.
Take more mock tests to make you perfect.
Take more mock tests to make you perfect.

To crack the SBI PO, you need to be really focused. None of the questions are straight-forward, so work on the aptitude & reasoning chapters with concentration. Make reminder notes of errors made while giving mock tests and remember to pay extra attention to them. It is imperative that you solve as many mock practice papers as you can so that you can analyze and know your weaknesses. 

In SBI PO exam, speed is of great essence. During SBI PO Preparation or SBI PO Preliminary Exam Preparation, practice to speed-read online to become proficient at it and this will give you an advantage during the exam. Train your mind so that you can attempt more questions in a short time. During mock papers, time yourself and focus on areas in which you are slow.

When you begin to take mock sets, put a time limit and work towards achieving it. If you follow these guidelines, you will surely be a winner in the first attempt itself.


Bank and SSC Preparation
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Wednesday, 29 March 2017

How to Use Assumed Average to Solve Questions in Bank and SSC Exams


In this post we will discuss how to solve questions on Average using the concept of Assumed Average which will help you save time in competitive exams.


Assumed Average

Mathematics is the key to doing well in all Bank and SSC Exams. Of the many topics that are asked in competitive exams Average is a common topic. Assumed average can be a very useful method to solve questions on Average and earn some time for yourself.
So here is a series of blog posts about such smart methods that will help you solve questions in 5- 10 seconds that would otherwise take 30- 45 seconds. Questions on average come in most competitive exams and how to use Assumed Average to solve questions on Average can be a very useful concept to save time.


What is Average?

Average is a standard mathematical operation that usually involves finding the central value from among a group of values. It is also described as an equal distribution of the given amount among the group. Defined in mathematical terms, it is the numerical result obtained by dividing the sum of two or more quantities by the number of quantities.


Formula for Average-

Assumed Average

We have all been using this formula to solve questions on averages since our school days and know it by heart!


Example for Questions on Average

Find the average of 34, 29, 42, 35, 22, 30.
The options are-
a) 25     b)30     c)33     d)None of these


Conventional Method to Solve Questions on Average

The minute you read the question in a Bank or SSC Exam, you are tempted to grab a pen and paper and follow the obvious method which is of adding all the 6 values and dividing it by 6
34+ 29+ 42+ 35+ 22+ 30)/ 6
Step 1:
192/ 6
Step 2:
32
Without a doubt this is the correct answer, however it took you almost 20 seconds to arrive at this answer. But is this a smart method? Is it advisable to use this method when you are preparing for Bank Exams? Time to say goodbye to such long methods and start your exam preparation using some smart methods!
Assumed Average

Smart Method to Solve Questions Using Assumed Average       

Now let us use our smart method, a method you should use in Bank and SSC Exams, to solve the same question.
The method involves assuming a number as a average and calculating the deviation of the given values from the assumed average and then finding the average deviation.
Let us assume 30 to be the average in this case.
Step 1:
Deviation of values from assumed average= (+4 –1 +12 +5 -8 +0)/ 6
Step 2:
12/ 6 = 2
Therefore, the average is 30+ 2= 32
Assumed Average

Wasn’t that just 5 seconds of simple, quick calculations for to you reach your answer!
Watch our expert faculty explain this smart method.



Try solving this question by using Assumed Average!

What is the average of 144, 153, 149, 135, 140
1) 139      2) 144.2      3) 135      4) 141.6      5) None of these

Write your answers in the comment section and tell us how Assumed Average helped you to solve questions on Average.

Stay tuned for more smart ways to solve questions and save some valuable time in Bank and SSC Exams.


Assumed Average




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How to Compare Percentage between Two Values



In this post we will discuss how to compare percentage between two unknown values and find percentage difference between them using a smart method.


Compare Percentage


For all Bank and SSC Exams Percentage is a significant topic in the Quantitative Section as it is also used in concepts like Compound and Simple Interest and Profit and Loss. It is extremely important not only to understand the topic but moreover figure out smart ways to calculate percentage and compare percentage with effective use of time. 

So here is a series of blog posts about smart methods that will help you solve questions in 5- 10 seconds that would otherwise take 30- 45 seconds. This will give you an edge over other candidates since the time you save in an exam is actually the extra time that you earn for yourself!

Percentage Comparison between Two Values

Percentage is the ratio between part and whole where the whole is considered to be 100. Questions that need you to compare percentage between two unknown values is a frequently asked question and involves finding the difference between them. It is expressed as a ratio or relative percentage.

Compare Percentage

Example of a Question on Comparing Percentage

If A’s salary is 25% more than B’s salary, then by what percentage is B’s salary less than A’s?

The first thought that will come to most of you on reading this question is that the answer is 25% and you don’t need to calculate percentage at all! However, don’t fall trap to it because the percentage relation from A→B is clearly not the same as the relation from B →A.


The Conventional Method to Compare Percentage

There is high probability that the minute you read this question, you are tempted to solve it by the traditional method of comparing and then calculate percentage difference between the two values. But that includes various steps that start with expressing A in terms of B-
Step 1:
A= B+ 25% of B
Step 2:
A= 5B/4 (converting % to fraction)
Step 3:
B= 4A/5
Step 4:
B= 80% (converting fraction to %)
Hence A is 20% less than B.
Undoubtedly the answer we have got by this method is correct but this is a tedious time taking process involving many steps which only increases the probability of errors.
It is essential for you to have a cohesive and well planned approach to answer the maximum number of questions correctly in less time to crack your Bank exam. Therefore it is paramount that while practicing you use these methods too!

Compare Percentage

The Smart Method to Calculate Percentage Difference

Now let us solve the same question and compare percentage by using a smart step that involves just one step and saves a lot of valuable time.
Convert the percentage difference in a fraction, which is 1/ 4 in this case (25%= 1/ 4)
Now comes the trick- To find out by how much % B is less than A, increase the value of the denominator by the value of the numerator ( 1 in this case)
Step 1:
1/ 4 becomes 1/ (4+1) which is actually the answer
Step 2:
1/ 5 = 20%
Therefore we reach the answer in just one step.


Compare Percentage


Isn’t this really easy and super quick! Watch the video below to see our expert faculty explain this amazing method.



To check your understanding of this concept try and solve this question by the smart method-

The sale of Company N is 40% less than that of Company T. Then by what percent is the sale of company T more than that of N?

1) 66.66%      2) 25%      3) 20%      4) 33.33%      5) None of these

Do tell us in the comments below how this trick helped you save time and arrive at the answer in just a few seconds.

Stay tuned to this space for more such tricks!

Compare Percentage




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