Question 1

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

Accepted Answer

Step 1: Let cost price = CP. Selling price = 480. Step 2: SP = CP + 20% of CP = 1.2 × CP. Step 3: 1.2 × CP = 480. Step 4: CP = 480 ÷ 1.2 = 400. Therefore, cost price is ₹400.

Question 2

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

Accepted Answer

Step 1: Original price = ₹200, New price = ₹250. Step 2: Increase = 250 - 200 = ₹50. Step 3: Percentage increase = (Increase ÷ Original) × 100 = (50 ÷ 200) × 100 = 25%. Therefore, the percentage increase is 25%.

Question 3

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

Accepted Answer

Step 1: If 35% failed, then 65% passed. Step 2: 65% of total = 260. Step 3: 0.65 × Total = 260. Step 4: Total = 260 ÷ 0.65 = 400. Therefore, 400 students appeared for the exam.

Question 4

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

Accepted Answer

Step 1: Last month's production = 5,000 units. Step 2: Increase = 12% of 5,000 = 0.12 × 5,000 = 600 units. Step 3: This month's production = 5,000 + 600 = 5,600 units. Therefore, 5,600 units were produced this month.

Question 5

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

Accepted Answer

Step 1: Marks obtained = 360, Percentage = 72%. Step 2: 72% of Total marks = 360. Step 3: 0.72 × Total = 360. Step 4: Total = 360 ÷ 0.72 = 500. Therefore, total marks = 500.

Question 6

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?

Accepted Answer

Step 1: Let total students = 100. Failed in Hindi = 35, Failed in English = 28, Failed in both = 20. Step 2: Using set theory: Failed in at least one subject = 35 + 28 - 20 = 43. Step 3: Passed in both subjects = 100 - 43 = 57%.

Question 7

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?

Accepted Answer

Step 1: Weighted average = (Score₁ × Weight₁) + (Score₂ × Weight₂). Step 2: Weighted average = (45 × 0.40) + (65 × 0.60) = 18 + 39 = 57%.

Question 8

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?

Accepted Answer

Step 1: Let original price = x. After 15% increase: x × 1.15. Step 2: After 10% decrease: x × 1.15 × 0.90 = x × 1.035. Step 3: x × 1.035 = 2,070. Step 4: x = 2,070 ÷ 1.035 = 2,000.

Question 9

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?

Accepted Answer

Step 1: Total percentage spent = 30% + 25% + 15% = 70%. Step 2: Remaining percentage = 100% - 70% = 30%. Step 3: If 30% = ₹1,800, then 100% = (1,800 ÷ 30) × 100 = 60 × 100 = ₹6,000.

Question 10

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?

Accepted Answer

Step 1: Let cost price = 100. Marked price = 100 + 40% of 100 = 140. Step 2: Discount = 20% of 140 = 28. Selling price = 140 - 28 = 112. Step 3: Profit = 112 - 100 = 12. Profit percentage = (12/100) × 100 = 12%.

Question 11

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?

Accepted Answer

Step 1: Weighted score = (Score₁ × Weight₁) + (Score₂ × Weight₂). Step 2: Weighted score = (65 × 0.40) + (75 × 0.60). Step 3: Weighted score = 26 + 45 = 71%.

Question 12

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?

Accepted Answer

Step 1: Cost Price (CP) = ₹800. Step 2: Marked Price (MP) = 800 + (60% of 800) = 800 + 480 = ₹1280. Step 3: Discount = 25% of 1280 = ₹320. Step 4: Selling Price (SP) = 1280 - 320 = ₹960. Step 5: Profit = 960 - 800 = ₹160. Step 6: Profit % = (160/800) × 100 = 20%.

Question 13

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?

Accepted Answer

Step 1: Total votes = 8000. Step 2: Invalid votes = 8% of 8000 = 640. Step 3: Valid votes = 8000 - 640 = 7360. Step 4: Candidate A's votes = 45% of 8000 = 3600. Step 5: Candidate B's votes = 35% of 8000 = 2800. Step 6: Difference = 3600 - 2800 = 800.

SSC GD Constable Percentage Word Problems

SSC GD Constable Percentage Word Problems — Past Exam Questions

Percentage Word Problems— Rules & Concept

Key Points to Remember

Exam-Specific Tips

60-Second Revision — Percentage Word Problems