Previous Year Percentage Question Patterns

Previous-year percentage question patterns are useful because they help you recognise the structure behind a question instead of memorising one set of numbers. When you review SSC, Railway, or other competitive-exam papers, focus on the percentage concept being tested, the correct base value, and the safest calculation method.

This page is a pattern-recognition guide. The examples below are created for learning and practice. They are not presented as verified official previous-year questions unless a specific source is identified.

Pattern 1: Direct Percentage of a Number

This is the basic pattern in which a percentage of a given value must be calculated.

Practice example: Find 28% of 750.

28% of 750 = 28/100 × 750 = 210.

The numbers may change from question to question, but the underlying structure remains percentage × base value.

Pattern 2: What Percent Is One Value of Another?

These questions test the relationship between a part and the whole.

Practice example: 96 is what percent of 640?

Percentage = 96/640 × 100 = 15%.

A common error is reversing the fraction. The value being compared goes in the numerator and the reference value becomes the denominator.

Pattern 3: Percentage Increase

The main task is to identify the original value correctly.

Practice example: A quantity rises from 500 to 575.

Increase = 575 - 500 = 75.

Percentage increase = 75/500 × 100 = 15%.

Pattern 4: Percentage Decrease

The original value is again the denominator.

Practice example: A value falls from 250 to 225.

Decrease = 250 - 225 = 25.

Percentage decrease = 25/250 × 100 = 10%.

Pattern 5: Reverse Percentage

A reverse percentage question gives the changed value and asks you to recover the original value.

Practice example: After a 20% increase, a number becomes 360. Find the original number.

After a 20% increase, the new number represents 120% of the original.

Original = 360 × 100/120 = 300.

For more language-based reverse questions, revise Percentage Word Problems.

Pattern 6: More Than and Less Than Comparison

Percentage comparison depends on the value used as the base. Reversing the comparison usually changes the percentage.

Practice example: A is 25% more than B. If B = 160, find A.

25% of 160 = 40, so A = 160 + 40 = 200.

Now suppose the question asks: by what percentage is B less than A?

Difference = 40 and the comparison base is now A = 200.

40/200 × 100 = 20%.

Pattern 7: Successive Percentage Change

The second percentage change acts on the changed value, not automatically on the original value.

Practice example: A value rises by 20% and then falls by 10%.

Assume the original value is 100.

After the increase: 100 → 120.

After the decrease: 120 → 108.

The final value is 108, so the net result is an 8% increase.

Pattern 8: Increase Followed by Decrease

Do not decide the net effect simply by subtracting the two percentage rates. Always consider the changing base.

Practice example: A value increases by 25% and then decreases by 20%.

Start with 100:

100 → 125 → 100

The final value returns to the original value, so the net change in this particular example is 0%.

This works because 20% of 125 is 25. It does not mean that percentage increases and decreases generally cancel each other.

Pattern 9: Marks and Exam Scores

Marks questions commonly ask for the percentage scored, required marks, difference in percentage, or the total when a percentage is known.

Practice example: A candidate scores 378 marks out of 450. What percentage did the candidate score?

378/450 × 100 = 84%.

Pattern 10: Pass and Fail Percentage

Complementary percentages can make these questions faster.

Practice example: In an examination, 18% of 500 candidates fail. How many candidates pass?

Pass percentage = 100% - 18% = 82%.

82% of 500 = 410.

Pattern 11: Population Change

Population questions may contain a single increase, a decrease, or successive changes over different periods.

Practice example: A town has a population of 50,000. Its population increases by 12%. Find the new population.

Increase = 12% of 50,000 = 6,000.

New population = 50,000 + 6,000 = 56,000.

Pattern 12: Income, Expenditure and Savings

First identify whether the given percentage refers to income, expenditure, or savings.

Practice example: A person earns ₹40,000 per month and saves 15% of the income.

Savings = 15% of ₹40,000 = ₹6,000.

Expenditure = ₹40,000 - ₹6,000 = ₹34,000.

Pattern 13: Price and Consumption

A price increase may require a reduction in consumption when total expenditure has to remain unchanged.

Practice example: The price of a commodity increases by 25%. By what percentage should consumption be reduced to keep expenditure unchanged?

Assume old price = 100 and old consumption = 100 units. Old expenditure = 10,000.

New price = 125.

Required new consumption = 10,000/125 = 80 units.

Consumption falls from 100 to 80, so the required reduction is 20%.

Pattern 14: Percentage Mixed with Ratio

Percentage questions are often combined with ratio. Convert the required ratio part into a fraction of the total before converting it into a percentage.

Practice example: Boys and girls are in the ratio 3:2. What percentage of the class are girls?

Total parts = 3 + 2 = 5.

Girls = 2/5 of the total.

2/5 × 100 = 40%.

Pattern 15: Percentage Mixed with Profit and Loss

Percentage concepts also appear inside other arithmetic chapters, so the correct base remains important.

Practice example: An item is bought for ₹800 and sold for ₹920. Find the profit percentage.

Profit = ₹920 - ₹800 = ₹120.

Profit percentage = 120/800 × 100 = 15%.

Cost price is the base for calculating profit percentage.

Pattern 16: Percentage Points vs Percentage Increase

A change between two percentage values can be described in two different ways.

Practice example: A score rate rises from 60% to 75%.

The direct difference is 15 percentage points.

If the question asks for the percentage increase relative to the original rate:

15/60 × 100 = 25%.

Read the wording carefully before deciding which value is required.