Percentage Previous Year Questions PDF & Study Notes: Percentage is one of the basic chapters of the Quantitative Aptitude section for competitive exams like SSC, Railway, Banking, UPSC, State Exams & other government job exams. Generally, 4 to 8 marks are covered by the Percentage topic.
In this article, you will get Complete Percentage Chapter Notes, formula, examples, short tricks, and previous year questions of percentage topic in various government exams. And you will also learn how to calculate percentage? Percentage Study Materials PDF With Practice Questions Worksheet is available here in Hindi & English.
Table of Contents
Percentage Previous Year Questions PDF: Highlights
|Article Name||Percentage Previous Year Questions PDF & Study Notes|
|Covers||Percentage Concepts, Formulae, Examples, Short Tricks & Previous Year Questions|
|Useful For||SSC, Banking, Railways, State PCS, UPSC, Other Competetive Exams & Interview|
|Language||Hindi + English|
|Total Number Of Questions||1000+|
What Is Percentage?
In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It represented by the symbol “%”.
Understanding percentage will help us with other mathematical concepts like Profit & Loss, Discount, Simple Interest, Compound Interest, and Data Interpretation. Therefore you need to understand the concept of the percentage to easily solve questions from these topics.
How to calculate percentage?
There are many online calculators to find percentages but percentages can be calculated without using digital means. The following are the ways to calculate percentages manually:
- Determine the initial format of the number to be converted to a percentage.
- Carry out a mathematical process on the number to be converted to a percentage.
- Multiply the result of the mathematical process by 100.
List of Formula to Calculate Percentage
Percentage Formula related in Maths is given here. Click now to know the formula to calculate percentage with solved questions PDF.
1) Percentage formula
Percentage = (Value ⁄ Total Value) × 100
2) Discount Formula
Discount = List Price – Selling Price
Selling Price = List Price − Discount
List Price = Selling Price + Discount
3) Discount Percentage Formula
Rate of Discount = Discount % = Discount / List Price × 100
Selling Price = List Price (100 − discount % /100)
List Price = Selling Price (100/100 – discount %)
4) Percentage Increase Formula
Percentage Increase= Increased Value / OriginalValue×100
5) Profit Formula
|The formula for Profit Percentage||Profit Percent Formula = Profit×100C.P.|
|Gross Profit Formula||Gross Profit = Revenue – Cost of Goods Sold|
|Profit Margin Formula||Profit Margin = TotalIncomeNetSales×100|
|Gross Profit Margin Formula||Gross Profit Margin = GrossProfitNetSales×100|
6) Percentage Error Formula
Percentage Error = (Approximate Value – Exact Value / Exact Value × 100)
7) Percentage change formula
Percentage Change = New Value – Old Value / Old Value × 100
8) Percentage Decrease Formula
Percentage Decrease = Decrease in value / Original value × 100
9) Percentile Formula
Percentile = (Number of Values Below “x” / Total Number of Values) × 100
- Also, Check – Compound Interest Book PDF By Gagan Pratap Sir
Short cut tricks to Solve Percentage Questions
We can use the tricks given below to calculate the percentage.
x% of y = y% of x
Example – Prove that 20% of 40 is equal to 20% of 40.
Solution – 40 = 20% of 2
40% of 20 = 2
Hence they are equal i.e. y of x% = x of y% is correct.
Percentage Fractions Chart
The percentage chart is given here for fractions converted into percentages.
Converting Fractions to Percentage
A fraction can be represented by a/b.
Multiplying and dividing the fraction by 100, we have
From the definition of percentage, we have = 1/100 = 1%
Thus equation (i) can be written as:
Thus fraction can be converted to percentage simply by multiplying the given fraction by 100.
- Also, Check – Railway Maths Book PDF Chapterwise Solution
SSC CGL Percentage Previous Year Questions PDF
Q1. Mr. Amar spends 50% of his monthly income on household items and out of the remaining, he spends 25% on travel, 30% on entertainment, 15% on shopping, and the remaining amount of Rs. 900 is saved. What is Mr. Amar’s monthly income?
(a) Rs. 6,000
(b) Rs. 12,000
(c) Rs. 9,000
(d) Cannot be determined
Sol. House hold expenditure = 50%
Remaining = 50%
On Remaining amount he spends:-
Travelling = 25%
Entertainment = 30%
Shopping = 15%
Total = 70% ⇒ Remaining = (100 – 70) % of 50%
Rest amount ⇒ 900 = 30% of 50%
⇒ 15% = 900
100% = 6,000.
Q2. In a test consisting of 80 questions carrying one mark each, Ankita answers 65% of the first 40 questions correctly. What percent of the other 40 questions does she need to answer correctly to score 80% on the entire test?
S2. Ans. (c)
Sol. Total marks of test = 80
Ankita scored = 65% of 40 Question (1 mark)
But she needs to score = 80% of the entire ‘test’
= 80% of 80
= 64 marks
So, she needs = (64 – 26) marks
Percentage ⇒ x% of 40 = 38
⇒ x = 95
Q3. In a class of 60 students and 5 teachers, each student got sweets that are 20% of the total number of students and each teacher got sweets that are 30% of the total number of students. How many sweets were there?
S3. Ans. (c)
Sol. No. of students = 60
No. of teachers = 5
No. of sweets each student got = 20% of (60)
Total sweets distributed among students
= 12 × 60 =720
No. of sweets each teacher got = 30% of (60)
Total sweets = 18 × 5 = 90
distributed among teachers
Total sweets = (720 + 90)
Q4. In a college election fought between two candidates, one candidate got 55% of the total valid votes. 15% of the votes were invalid. If the total votes were 15,200, what is the number of valid votes the other candidate got?
Sol. Let total votes = 100%
Invalid = 15%
Valid votes = 85%
1st candidate = 55% of 85%
So, 2nd candidate = 45% of 85%
According to the question,
100% → 15200
85% → 12920
Other candidate got = 45% of 12920
= 5814 vote
Q5. On a test consisting of 250 questions, John answered 40% of the first 125 questions correctly. What percent of the other 125 questions does she need to answer correctly for her grade on the entire exam to be 60%?
(d) Cannot be determined
Q6. If the numerator of a fraction is increased by 400% and the denominator of the fraction is increased by 150%, the resultant fraction is 3/5. What is the original fraction?
Q7. In a two-digit positive number, the digit in the units place is equal to the square of the digit in ten’s place, and the difference between the number obtained by interchanging the digits and the number is 54. What is 10% of the original number?
We’ll check the difference between the two numbers
42 – 24 = 18 û
93 – 39 = 54 ü
So, number = 39
10% of 39 = 3.9
Q8. A candidate who scores 30% fails by 10 marks, while another candidate who scores 40% marks gets 15 more than minimum pass marks. The minimum marks required to pass are:
Q9. 65% of a number is more than 25% by 120. What is 20% of that number?
Sol. According to the question,
65% – 25% = 120
40% = 120
1% = 3
100% = 300
20% = 60
Q10. If the radius of a right circular cone is decreased by 50% and its height is increased by 50%, its volume will be decreased by:
Q12. The price of sugar is increased by 20%. As a result, a family has decreased its consumption by 30%. The expenditure of the family on sugar is decreased by:
Q13. If the income tax is increased by 19% the net income is reduced by 1%. The rate of income tax is:
Q14. The population of a village was 9600. In a year, with the increase in the population of males by 8% and that of females by 5%, the population of the village became 10176. What was the number of males in the village before the increase?
Q15. If 60% of the students in a school are boys and the number of girls is 972, how many boys are there in the school?
Percentage Questions PDF
|Percentage Class Notes PDF||Download PDF|
|SSC Previous Year Percentage Questions PDF||Download PDF|
|Railway Previous Year Percentage Questions PDF||Download PDF|
|Percentage Previous Year Questions By Gagan Pratap PDF||Download PDF|
|Percentage By Abhinay Sharma Sir PDF||Download PDF|
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Frequently Asked Questions – FAQs
Q. What do you mean by percentage?
Ans. – In maths, a percentage is a value or ratio that shows a fraction of 100. Percent means per 100. It does not have any units.
Q. What is the symbol of percentage?
Ans. – Percentage is denoted by the ‘%’ symbol. It is also termed as per cent.
Q. What is the percentage formula?
Ans. – The formula to calculate the percentage of a number out of another number is:
Percentage = (Original number/Another number) x 100.
Q. How to find the percentage of a number?
Ans. – You divide your percentage by 100. So 50% would be 50 divided by 100 or 50.