List of Percentage Questions for SSC Exam
Are you getting ready for your SSC exam? Do percentage problems make you feel worried? Percentage means "out of 100." When we say 50%, we mean 50 out of 100. In SSC exams, you will find many percentage questions for SSC CGL and other tests. These questions test how well you can work with parts of a whole. They help check if you can solve real-life math problems. Banks, offices, and many jobs need people who can work with percentages. Don't worry, we will help you understand percentage questions step by step. We will look at different types of percentage questions for SSC that come in your exam.
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Basic Percentage Formula
Before we look at SSC percentage questions, let's learn the main formula:
Percentage = (Part/Whole) × 100
This simple formula helps solve most percentage problems. Remember this formula well. It will help you with many questions.
Types of Percentage Questions for SSC
We will find some different types of percentage questions for ssc cgl that you might see:
1. Simple Percentage Problems
These are the easiest percentage questions. You just need to find what percent one number is of another.
Example: What percent of 200 is 50? Solution: (50/200) × 100 = 25%
2. Finding the Percentage of a Number
Sometimes you need to find a certain percentage of a given number.
Example: Find 20% of 150. Solution: (20/100) × 150 = 30
3. Finding the Whole from a Percentage
These questions give you a percentage and ask you to find the original number.
Example: 25% of a number is 40. What is the number? Solution: Let the number be x. Then (25/100) × x = 40 So x = 40 × (100/25) = 160
4. Percentage Increase and Decrease
These questions ask about how much something has grown or shrunk.
Example: The price of rice increased from 40 rupees to 50 rupees. What is the percentage increase? Solution: Increase = 50 - 40 = 10 Percentage increase = (10/40) × 100 = 25%
5. Profit and Loss Percentage
Many SSC percentage questions deal with buying and selling items.
Example: A man bought a book for 100 rupees and sold it for 120 rupees. What is his profit percentage? Solution: Profit = 120 - 100 = 20 Profit percentage = (20/100) × 100 = 20%
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Solved SSC CGL Percentage Questions with Step-by-Step Solutions
Let's look at some real SSC CGL percentage questions with complete solutions:
Question 1: Petrol Price Increase Problem
Question: The price of petrol shot up by 5%. Before the hike, the price was Rs. 82 per litre. A man travels 3045 km every month, and his car gives a mileage of 15 km per litre. What is the increase in monthly expenditure (to the nearest Rs.) on the man's fuel bill due to the hike in the petrol prices?
Given Information:
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Original petrol price = Rs. 82/litre
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Price increase = 5%
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Monthly distance = 3045 km
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Car mileage = 15 km/litre
Step-by-Step Solution:
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Calculate monthly petrol needed: 3045 ÷ 15 = 203 litres
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Find price increase per litre: 82 × (5/100) = Rs. 4.1
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Calculate total increase: 203 × 4.1 = Rs. 832.30 ≈ Rs. 832
Answer: Rs. 832
Question 2: Price Reduction Problem
Question: The reduction of 15% in the price of salt enables a person to buy 2 kg more for Rs. 272. The reduced price of salt per kg (in Rs.) is:
Given Information:
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Price reduction = 15%
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Can buy 2 kg more for Rs. 272
Method 1 - Quick Solution: Using the formula: Reduced price = (Amount/Extra quantity) × (Reduction/100) = (272/2) × (15/100) = 136 × 0.15 = 20.40
Method 2 - Detailed Solution:
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Let original price = x per kg
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Person can buy = 272/x kg originally
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After 15% reduction, new price = x × (85/100) = 17x/20
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Now can buy = 272/(17x/20) = 5440/17x kg
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Difference = 5440/17x - 272/x = 2
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Solving: 272(20-17) = 34x, so x = 24
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Reduced price = 24 × (85/100) = Rs. 20.40
Answer: Rs. 20.40
Question 3: School Students Problem
Question: The total number of students in a school is 1400, out of which 35% of the students are girls and the rest are boys. If 80% of the boys and 90% of the girls passed in an annual examination, then the percentage of students who failed is:
Given Information:
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Total students = 1400
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Girls = 35% of total
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Boys pass rate = 80%
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Girls pass rate = 90%
Step-by-Step Solution:
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Number of girls = 1400 × (35/100) = 490
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Number of boys = 1400 - 490 = 910
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Boys who passed = 910 × (80/100) = 728
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Boys who failed = 910 - 728 = 182
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Girls who passed = 490 × (90/100) = 441
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Girls who failed = 490 - 441 = 49
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Total failed students = 182 + 49 = 231
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Percentage of failed students = (231/1400) × 100 = 16.5%
Answer: 16.5%
Question 4: Weight of A is 20% more than weight of B, whose weight is 30% more than weight of C. By how much percent is weight of A more than weight of C?
Solution:
Let weight of C = 100x
Weight of B = 100x + (100x × 30/100) = 130x
Weight of A = 130x + (130x × 20/100) = 156x
Percentage increase of A over C = [(156x - 100x)/100x] × 100 = 56%
Question 5: A is 150% of B and B is 40% of C. If A + B + C = 20, find the value of 2B + 3C - 4A.
Solution:
A = 150% of B = 1.5B
B = 40% of C = 0.4C, therefore C = 2.5B
Substituting: A + B + C = 1.5B + B + 2.5B = 5B = 20
Therefore B = 4, A = 6, C = 10
2B + 3C - 4A = 2(4) + 3(10) - 4(6) = 8 + 30 - 24 = 14
Explanation: Converting percentage relationships into equations allows solving systems with multiple variables
Question 6: The total number of students in a school is 1400, with 35% girls and the rest boys. If 80% of boys and 90% of girls passed an annual examination, what percentage of students failed?
Solution:
Number of girls = 1400 × 35/100 = 490
Number of boys = 1400 - 490 = 910
Boys who passed = 910 × 80/100 = 728
Girls who passed = 490 × 90/100 = 441
Total students who passed = 728 + 441 = 1169
Students who failed = 1400 - 1169 = 231
Percentage failed = (231/1400) × 100 = 16.5%
Explanation: Multi-step percentage problems involving different groups require careful tracking of each subset's performance.
Question 7: If decreasing 180 by x% gives the same result as increasing 60 by x%, find the value of x.
Solution:
180 × (100 - x)/100 = 60 × (100 + x)/100
180(100 - x) = 60(100 + x)
18000 - 180x = 6000 + 60x
12000 = 240x
x = 50
Explanation: Setting up equations for equal results after opposite percentage changes helps find the unknown percentage value.
Question 8: In an examination, B obtained 20% more marks than A, A obtained 10% less marks than C, and D obtained 20% more marks than C. By what percentage are D's marks more than A's marks?
Solution:
Let C's marks = 100
A's marks = 100 - 10% of 100 = 90
B's marks = 90 + 20% of 90 = 108
D's marks = 100 + 20% of 100 = 120
Percentage by which D's marks exceed A's = [(120 - 90)/90] × 100 = (30/90) × 100 = 33⅓%
Explanation: Complex comparison problems require establishing a common reference point and calculating each entity's value relative to that reference point.
A is 150% of B and B is 40% of C. If A + B + C = 20, find the value of 2B + 3C - 4A.
Solution:
A = 150% of B = 1.5B
B = 40% of C = 0.4C, therefore C = 2.5B
Substituting: A + B + C = 1.5B + B + 2.5B = 5B = 20
Therefore B = 4, A = 6, C = 10
2B + 3C - 4A = 2(4) + 3(10) - 4(6) = 8 + 30 - 24 = 14
Explanation: Converting percentage relationships into equations allows solving systems with multiple variables
SSC Preparation Books 2025
PW SSC books bring everything to the table, so do not waste in different types of books, whether you are preparing for the SSC CGL exam with SSC CGL books. SSC CGL preparation books and SSC GD books.
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How to Prepare for Percentage Questions
1. Start with Basics
Make sure you understand what percentage means. Practice converting between percentages, fractions, and decimals.
2. Solve Different Types
Don't just stick to one type of question. Practice all types of percentage questions for ssc that we discussed.
3. Time Management
In exams, you have limited time. Practice solving questions quickly but accurately.
4. Use Shortcuts
Learn shortcut methods to solve common types of questions faster.
5. Review Your Mistakes
When you make a mistake, understand why it happened. This helps you avoid the same mistake in the future.
Read More: SSC Maths Syllabus and Important Topics
Percentage Questions for SSC FAQs
1. How many percentage questions come in the SSC CGL exam?
Usually, 3-5 percent of questions for SSC CGL appear in the exam. These questions carry good marks and are considered scoring if you practice well.
2. What is the basic formula for a percentage?
The main formula is: Percentage = (Part/Whole) × 100. This formula helps solve most percentage problems in SSC exams.
3. Are percentage questions difficult in SSC?
No, percentage ssc cgl questions are not difficult if you understand the basics. With regular practice, these become easy scoring questions.
4. How much time should I spend on each percentage question?
Try to solve each percentage question for SSC CGL within 1-2 minutes. This leaves time for other questions in the exam.
