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SSC GD Constable Percentage Word Problems

Study Material — 13 PYQs (2020–2020) · Concept Notes · Shortcuts

SSC GD Constable Percentage Word Problems is a frequently tested subtopic — 13 previous year questions from 2020–2020 papers are included below with concept notes, key rules and shortcut tricks.

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2020–2020
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Previous Year Questions

SSC GD Constable Percentage Word Problems — Past Exam Questions

13 questions from actual SSC GD Constable papers · all shown free · click option to reveal solution

Exam Q 12020Previous Year Pattern

A shopkeeper sells a shirt for ₹480, which is 20% more than its cost price. What is the cost price of the shirt?

Exam Q 22020Previous Year Pattern

The price of a book increased from ₹200 to ₹250. What is the percentage increase in price?

Exam Q 32020Previous Year Pattern

In an exam, 35% of students failed. If 260 students passed, how many students appeared for the exam?

Exam Q 42020Previous Year Pattern

A factory produced 5,000 units last month. This month, production increased by 12%. How many units were produced this month?

Exam Q 52020Previous Year Pattern

A student scored 72% in an exam and obtained 360 marks. What are the total marks of the exam?

Exam Q 62020Previous Year Pattern

In an examination, 35% of students failed in Hindi, 28% failed in English, and 20% failed in both subjects. What percentage of students passed in both subjects?

Exam Q 72020Previous Year Pattern

A student scores 45% in one exam and 65% in another exam. If the first exam has a weight of 40% and the second exam has a weight of 60%, what is the student's overall percentage?

Exam Q 82020Previous Year Pattern

The price of a commodity increases by 15% in the first year and decreases by 10% in the second year. If the price after two years is ₹2,070, what was the original price?

Exam Q 92020Previous Year Pattern

A person spends 30% of his income on rent, 25% on food, and 15% on transport. The remaining amount is ₹1,800. What is his total monthly income?

Exam Q 102020Previous Year Pattern

A shopkeeper marks his goods 40% above the cost price. If he gives a discount of 20% on the marked price, what is his profit percentage?

Exam Q 112020Previous Year Pattern

A student scores 65% in one exam and 75% in another exam. If the first exam has a weightage of 40% and the second exam has a weightage of 60%, what is the student's overall percentage?

Exam Q 122020Previous Year Pattern

A shopkeeper marks up goods by 60% above cost price. He then offers a discount of 25% on the marked price. If the cost price of an item is ₹800, what is his profit percentage?

Exam Q 132020Previous Year Pattern

In an election, candidate A received 45% of votes, candidate B received 35% of votes, and the remaining votes were invalid. If the total number of votes cast was 8000 and invalid votes were 8% of total votes, how many more votes did A receive than B?

Concept Notes

Percentage Word Problems— Rules & Concept

Core ConceptRead this first — the foundation of the topic
Core Concept

Percentage word problems involve finding parts of a whole, comparing quantities, or calculating increases and decreases in real scenarios like salary hikes, discounts, population growth, and election results

Key Rules

Always identify the base value first. The base is usually mentioned after 'of' or 'than'. When percentage increases, new value = original + increase. When percentage decreases, new value = original - decrease.

In comparison problems, identify which quantity is 100%.

Formula BlockMemorise — at least one formula appears in every paper
- Percentage = (Part/Whole) × 100
- Increase% = (Increase/Original) × 100
- Decrease% = (Decrease/Original) × 100
- New value after x% increase = Original × (100+x)/100
- New value after x% decrease = Original × (100-x)/100
- If A is x% more than B, then B is [x/(100+x)] × 100% less than A
Exam PatternsWhat examiners ask — read before attempting PYQs

SSC CGL typically asks about salary changes, price variations, population problems, election results, and mixture problems. Questions often involve successive percentage changes or finding original values when final values are given. Powerful Shortcut - The 'Of-Is' Method: In any percentage problem, identify the 'OF' value (base/whole) and 'IS' value (part). Then use: Percentage = (IS/OF) × 100. This works for all percentage word problems.

Worked ExampleSolve this step-by-step before moving on
1
Step 1

Let original salary = x

2
Step 2

After 20% increase = x × 120/100 = 1.2x

3
Step 3

After 15% decrease = 1.2x × 85/100 = 1.02x

4
Step 4

Given final salary = 10,200

5
Step 5

So, 1.02x = 10,200

6
Step 6

x = 10,200/1.02 = 10,000 Therefore, original salary = Rs. 10,000 Another Shortcut: For successive percentage changes, if there are a% increase followed by b% decrease, net effect = [a - b - (ab/100)]%. If positive, it's increase; if negative, it's decrease. Using this shortcut: Net effect = 20 - 15 - (20×15/100) = 5 - 3 = 2% increase So final salary = original × 1.02 = 10,200 Original = 10,200/1.02 = 10,000

Exam TrapsCommon mistakes students make — avoid these

Students often confuse the base value. Remember, percentages are always calculated on the original or given base value, not on intermediate results unless specifically mentioned.

Key Points to Remember

  • Always identify the base value first - it usually comes after 'of' or 'than'
  • Use 'Of-Is' method: Percentage = (IS value/OF value) × 100
  • For successive changes: Net effect = a - b - (ab/100) when a% increase then b% decrease
  • New value after x% increase = Original × (100+x)/100
  • New value after x% decrease = Original × (100-x)/100
  • If A is x% more than B, then B is [x/(100+x)] × 100% less than A
  • In comparison problems, identify which quantity represents 100%
  • Percentage increase/decrease is always calculated on the original value

Exam-Specific Tips

  • If price increases by 25%, consumption must decrease by 20% to keep expenditure same
  • When A is 20% more than B, then B is 16.67% less than A
  • Successive increases of 10% and 20% give net increase of 32%
  • If population grows by 10% annually, it becomes 1.21 times in 2 years
  • 50% of 40% = 20% (multiply percentages by dividing by 100)
  • In elections with two candidates, if winner gets 60%, margin of victory is 20%
  • If salary increases by 15% and tax by 10%, effective increase is 5% on net income

60-Second Revision — Percentage Word Problems

  • Remember: Base value identification is crucial - look for 'of' and 'than'
  • Formula: For successive changes a%, b% - Net effect = a + b + (ab/100)
  • Trick: Use (IS/OF) × 100 for any percentage problem
  • Trap: Don't calculate percentage on wrong base value
  • Quick: 25% = 1/4, 20% = 1/5, 50% = 1/2 for faster calculations
  • Pattern: Original value problems use reverse calculation with given final value
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