ssc gd percentage

• Welcome to SSC GD Percentage Study Notes
• 1. Understanding Percentage and Conversion
  • Converting Fractions to Percentage
• 2. Percentage Increase and Decrease
  • Finding the Change
• 3. Successive Percentage Change
  • Applying Change Twice
• 4. Percentage Based Word Problems
  • Mixed Practice for SSC GD

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Welcome to SSC GD Percentage Study Notes

Hello future Constable! We are going to learn about Percentage for your SSC GD Constable 2026 exam. Percentage is a very important topic. If you master these simple rules, you will solve many ssc gd percentage questions easily.

Percentage just means “out of 100.” It helps us compare things fairly. These notes will help you prepare for the ssc gd percentage mock test.

1. Understanding Percentage and Conversion

Converting Fractions to Percentage

Theory:

• A fraction is a part of a whole thing (like $\frac{1}{2}$ of a cake).
• Percentage tells us how much that part is if the whole thing was 100.
• To change a fraction into a percentage, we always multiply the fraction by 100.
• The formula is: $\text{Percentage}=\text{Fraction}\times 100$.
• This is the basic step for solving all ssc gd percentage questions.

Example 1: Simple Conversion Change the fraction $\frac{3}{4}$ into a percentage.

Solution:

1. First, we know we need to multiply the fraction by 100 to get the percentage.
2. Write down the formula: $\text{Percentage}=\frac{3}{4}\times 100$.
3. We can divide 100 by 4 first. $100÷4=25$.
4. Now multiply the top number (3) by 25: $3\times 25=75$.
5. So, the answer is $75$.

Example 2: Finding Marks Percentage Ravi got 40 marks out of a total of 50 marks in a test. What is his ssc gd percentage score?

Solution:

1. First, write the marks as a fraction: $\frac{\text{Marks Obtained}}{\text{Total Marks}}=\frac{40}{50}$.
2. Now, we multiply this fraction by 100 to find the percentage.
3. Calculation: $\frac{40}{50}\times 100$.
4. We can simplify the fraction first: $\frac{40}{50}=\frac{4}{5}$.
5. Now multiply: $\frac{4}{5}\times 100$.
6. $100÷5=20$.
7. Multiply $4\times 20=80$.
8. So, the answer is $80$.

Example 3: Decimal Conversion Convert the decimal 0.25 into a percentage. This is a common percentage ssc gd questions type.

Solution:

1. First, change the decimal into a fraction. 0.25 is the same as $\frac{25}{100}$.
2. Now, multiply the fraction by 100: $\frac{25}{100}\times 100$.
3. The 100 on the top and the 100 on the bottom cancel each other out.
4. The result is 25.
5. So, the answer is $25$.

Example 4: Finding the Fraction What fraction is equal to $60$?

Solution:

1. Percentage means “out of 100.” So, $60$ is $\frac{60}{100}$.
2. We need to simplify this fraction. We can divide the top and bottom by 10: $\frac{60÷10}{100÷10}=\frac{6}{10}$.
3. We can simplify again by dividing the top and bottom by 2: $\frac{6÷2}{10÷2}=\frac{3}{5}$.
4. So, the answer is $\frac{3}{5}$.

2. Percentage Increase and Decrease

Finding the Change

Theory:

• Percentage increase means something got bigger.
• Percentage decrease means something got smaller.
• We use this formula for both: $$\text{Percentage Change}=\frac{\text{Change in Value}}{\text{Original Value}}\times 100$$
• The ‘Change in Value’ is the difference between the New Value and the Original Value.
• Practicing these ssc gd percentage questions pdf examples will help you understand the concept of base value.

Example 1: Price Increase The price of a toy was ₹80. It increased to ₹100. What is the percentage increase?

Solution:

1. First, find the Change in Value (how much the price went up): $100-80=20$.
2. The Original Value was ₹80.
3. Now, use the formula: $\text{Percentage Increase}=\frac{\text{Change}}{\text{Original}}\times 100$.
4. Calculation: $\frac{20}{80}\times 100$.
5. Simplify the fraction $\frac{20}{80}=\frac{1}{4}$.
6. Multiply: $\frac{1}{4}\times 100=25$.
7. So, the answer is $25$ increase.

Example 2: Population Decrease A village had 500 people. 50 people moved away. What is the percentage decrease in population? These are important ssc gd percentage questions.

Solution:

1. First, find the Change in Value (how many people left): 50.
2. The Original Value (starting population) was 500.
3. Use the formula: $\frac{\text{Change}}{\text{Original}}\times 100$.
4. Calculation: $\frac{50}{500}\times 100$.
5. Simplify the fraction: $\frac{50}{500}=\frac{1}{10}$.
6. Multiply: $\frac{1}{10}\times 100$.
7. $100÷10=10$.
8. So, the answer is $10$ decrease.

Example 3: Finding the New Value after Increase A shirt costs ₹400. The shopkeeper increases the price by $10$. What is the new price?

Solution:

1. First, find $10$ of the original price (₹400).
2. $10$ of $400=\frac{10}{100}\times 400$.
3. $10\times 4=40$. (The increase is ₹40).
4. Now, add the increase to the original price: $\text{New Price}=\text{Original Price}+\text{Increase}$.
5. $400+40=440$.
6. So, the new price is ₹440.

Example 4: Finding the New Value after Decrease A bicycle costs ₹2000. It is sold at a $5$ discount (decrease). What is the selling price? This is a typical percentage ssc gd questions format.

Solution:

1. First, find $5$ of the original price (₹2000).
2. $5$ of $2000=\frac{5}{100}\times 2000$.
3. Cancel the zeros: $5\times 20=100$. (The discount is ₹100).
4. Now, subtract the discount from the original price: $\text{Selling Price}=\text{Original Price}-\text{Discount}$.
5. $2000-100=1900$.
6. So, the selling price is ₹1900.

3. Successive Percentage Change

Applying Change Twice

Theory:

• Successive percentage change means you change a value by a percentage, and then you change the new value by another percentage.
• Important: You cannot just add or subtract the percentages! You must calculate the change step-by-step.
• We can use a simple formula for two changes ($x$ and $y$): $$\text{Net Change}=(x+y+\frac{xy}{100})$$ (If it is a decrease, use a minus sign for that percentage.)
• Mastering this formula is key for the ssc gd percentage mock test.

Example 1: Two Increases The salary of a worker is increased by $10$ and then again increased by $20$. What is the total ssc gd percentage increase?

Solution (Method 1: Using Formula):

1. Identify the changes: $x=+10$ and $y=+20$.
2. Use the net change formula: $(10+20+\frac{10\times 20}{100})$.
3. Calculate the fraction part: $\frac{200}{100}=2$.
4. Add the numbers: $10+20+2=32$.
5. So, the total increase is $32$.

Example 2: Increase followed by Decrease The price of a book is increased by $20$ and then decreased by $10$. What is the net percentage change?

Solution (Method 2: Step-by-Step Calculation):

1. Assume the original price is ₹100 (This makes percentage calculations easy).
2. Step 1 (20% Increase): $20$ of $100$ is $20$. New price is $100+20=120$.
3. Step 2 (10% Decrease): The decrease is on the new price (₹120).
4. Find $10$ of $120$: $\frac{10}{100}\times 120=12$.
5. Subtract the decrease: $120-12=108$.
6. The final price is ₹108. The original price was ₹100.
7. Total change: $108-100=8$.
8. So, the net change is an $8$ increase.

Example 3: Decrease followed by Increase A shopkeeper first reduces the price of an item by $25$ and then increases the reduced price by $25$. Find the overall percentage change. These are tricky ssc gd percentage questions pdf problems.

Solution (Using Formula):

1. Identify the changes: $x=-25$ (decrease) and $y=+25$ (increase).
2. Use the net change formula: $(-25+25+\frac{(-25)\times 25}{100})$.
3. The first part cancels out: $-25+25=0$.
4. Calculate the fraction part: $\frac{-625}{100}=-6.25$.
5. So, the net change is $-6.25$.
6. The answer is $6.25$ decrease.

Example 4: Finding the Original Value After a $10$ increase, a number became 330. What was the original number?

Solution:

1. Let the original number be $X$.
2. A $10$ increase means the new number is $100$ of the original number.
3. We know that $110$ of $X$ is 330.
4. Write this as an equation: $\frac{110}{100}\times X=330$.
5. To find $X$, move the fraction to the other side (flip it): $X=330\times \frac{100}{110}$.
6. Simplify: $X=330\times \frac{10}{11}$.
7. Divide 330 by 11: $330÷11=30$.
8. Multiply: $30\times 10=300$.
9. So, the original number was 300.

4. Percentage Based Word Problems

Mixed Practice for SSC GD

Theory:

• Word problems combine all the concepts we learned.
• Always read the question carefully to identify the base value (the ‘Original Value’ or the ‘Total’).
• Look for keywords like “of,” “is,” “more than,” or “less than.”
• These percentage ssc gd questions require you to set up the equation correctly before solving.

Example 1: Income and Savings A man spends $70$ of his salary and saves ₹3000 per month. What is his total salary?

Solution:

1. First, find the percentage he saves. Total salary is $100$.
2. Percentage saved: $100$.
3. We know that $30$ of his salary is equal to ₹3000.
4. Let the total salary be $S$. Equation: $\frac{30}{100}\times S=3000$.
5. To find $S$, move the fraction: $S=3000\times \frac{100}{30}$.
6. Simplify: $S=100\times 100$. (Because $3000÷30=100$).
7. $S=10000$.
8. So, his total salary is ₹10,000.

Example 2: Passing Marks In an exam, a student needs $40$ marks to pass. If a student gets 120 marks and fails by 40 marks, what are the total marks? This is a key ssc gd percentage mock test question.

Solution:

1. First, find the actual passing marks needed.
2. Passing Marks = Marks Obtained + Marks Failed By.
3. Passing Marks: $120+40=160$.
4. We know that 160 marks is $40$ of the Total Marks ($T$).
5. Equation: $\frac{40}{100}\times T=160$.
6. To find $T$: $T=160\times \frac{100}{40}$.
7. Simplify: $T=4\times 100$. (Because $160÷40=4$).
8. $T=400$.
9. So, the total marks for the exam are 400.

Example 3: Finding the Percentage of a Number What is $25$ of $50$ of 800?

Solution:

1. We need to calculate this step-by-step.
2. First, find $50$ of 800. $50$ is the same as $\frac{1}{2}$.
3. $50$ of $800=\frac{50}{100}\times 800=400$.
4. Now, we need to find $25$ of this new number (400).
5. $25$ of $400=\frac{25}{100}\times 400$.
6. $25\times 4=100$.
7. So, the answer is 100.

Example 4: Voter List Problem In an election, there were 10,000 total votes. Candidate A got $60$ of the votes. How many votes did Candidate B get? (Assume only two candidates). This is a common ssc gd percentage questions pdf type.

Solution:

1. First, find the percentage of votes Candidate B got.
2. Total votes is $100$. Candidate B’s percentage: $100$.
3. Now, find $40$ of the total votes (10,000).
4. Calculation: $\frac{40}{100}\times 10000$.
5. Cancel the zeros: $40\times 100$.
6. $4000$.
7. So, Candidate B got 4,000 votes.