Question 1

In an election, candidate A received 55% of the votes and candidate B received the remaining votes. If the total number of votes cast was 8000, how many more votes did A receive than B?

Accepted Answer

Step 1: Votes for A = 55% of 8000 = 0.55 × 8000 = 4400. Step 2: Votes for B = 45% of 8000 = 0.45 × 8000 = 3600. Step 3: Difference = 4400 - 3600 = 800.

Question 2

A student scored 72% in English and 68% in Mathematics. If English carries 80 marks and Mathematics carries 100 marks, what is the overall percentage scored by the student?

Accepted Answer

Step 1: Marks in English = 72% of 80 = 0.72 × 80 = 57.6. Step 2: Marks in Mathematics = 68% of 100 = 0.68 × 100 = 68. Step 3: Total marks obtained = 57.6 + 68 = 125.6. Step 4: Total marks = 80 + 100 = 180. Step 5: Overall percentage = (125.6/180) × 100 = 69.78% ≈ 70%.

Question 3

The price of a commodity increased by 20% last year and decreased by 10% this year. What is the net change in price over the two years?

Accepted Answer

Step 1: Let original price = 100. Step 2: After 20% increase: Price = 100 + 20 = 120. Step 3: After 10% decrease on 120: Price = 120 - (10% of 120) = 120 - 12 = 108. Step 4: Net change = 108 - 100 = 8. Step 5: Net change percentage = (8/100) × 100 = 8%.

Question 4

A mobile phone is sold for ₹18,000 after giving a discount of 25%. What was the marked price of the mobile phone?

Accepted Answer

Step 1: Let marked price = MP. Discount = 25%, so selling price = 75% of MP. Step 2: 75% of MP = 18,000. Step 3: MP = 18,000 / 0.75 = 24,000.

Question 5

A shopkeeper marks his goods at 40% above the cost price. If he gives a discount of 10% 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 = 10% of 140 = 14. Selling price = 140 - 14 = 126. Step 3: Profit = 126 - 100 = 26. Profit percentage = (26/100) × 100 = 26%.

Question 6

A person's salary is increased by 15%. If his new salary is ₹46,000, what was his original salary?

Accepted Answer

Step 1: Let original salary = S. New salary = S + 15% of S = 1.15S. Step 2: 1.15S = 46,000. Step 3: S = 46,000 / 1.15 = 40,000.

Question 7

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 8

A student scored 72% in English and 68% in Mathematics. If the maximum marks in each subject is 150, what is the total percentage of marks obtained by the student in both subjects combined?

Accepted Answer

Step 1: Marks in English = 72% of 150 = 0.72 × 150 = 108. Step 2: Marks in Mathematics = 68% of 150 = 0.68 × 150 = 102. Step 3: Total marks obtained = 108 + 102 = 210. Step 4: Total maximum marks = 150 + 150 = 300. Step 5: Overall percentage = (210/300) × 100 = 70%.

Question 9

The price of a commodity increased by 25% in the first year and then decreased by 20% in the second year. What is the net change in price over the two years?

Accepted Answer

Step 1: Let original price = 100. After 25% increase: Price = 100 + 25 = 125. Step 2: After 20% decrease on 125: Decrease = 20% of 125 = 25. New price = 125 - 25 = 100. Step 3: Net change = 100 - 100 = 0. Net change percentage = 0%.

Question 10

A company's revenue increased from Rs. 50 lakhs to Rs. 65 lakhs. What is the percentage increase in revenue?

Accepted Answer

Step 1: Original revenue = 50 lakhs. New revenue = 65 lakhs. Step 2: Increase = 65 - 50 = 15 lakhs. Step 3: Percentage increase = (Increase / Original) × 100 = (15 / 50) × 100 = 30%.

Question 11

A person spends 30% of his income on rent, 25% on food, and 15% on transportation. The remaining amount is Rs. 9000. 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% of income = 9000, then income = 9000 / 0.30 = 30000.

Question 12

In a college, 40% of students are in Science, 35% are in Commerce, and the remaining are in Arts. If 20% of Science students and 30% of Commerce students pass an entrance exam, what percentage of the total student population passed the exam?

Accepted Answer

Step 1: Let total students = 100. Science students = 40, Commerce students = 35, Arts students = 25. Step 2: Science students who passed = 20% of 40 = 8. Step 3: Commerce students who passed = 30% of 35 = 10.5. Step 4: Arts students who passed = 0 (not mentioned). Step 5: Total passed = 8 + 10.5 = 18.5. Step 6: Percentage of total = (18.5/100) × 100 = 18.5%.

Question 13

A person's salary increases by 15% in the first year and by 10% in the second year. If his salary after two years is ₹60,500, what was his original salary?

Accepted Answer

Step 1: Let original salary = x. Step 2: After first year increase of 15%: Salary = x × 1.15. Step 3: After second year increase of 10%: Salary = x × 1.15 × 1.10 = x × 1.265. Step 4: Given that final salary = 60,500. Step 5: x × 1.265 = 60,500. Step 6: x = 60,500 / 1.265 = ₹47,800.

Question 14

A town's population was 5,00,000 in 2020. It increased by 20% in 2021 and decreased by 10% in 2022. In 2023, it increased by 15%. What is the population in 2023?

Accepted Answer

Step 1: Population in 2020 = 5,00,000. Step 2: After 20% increase in 2021 = 5,00,000 × 1.20 = 6,00,000. Step 3: After 10% decrease in 2022 = 6,00,000 × 0.90 = 5,40,000. Step 4: After 15% increase in 2023 = 5,40,000 × 1.15 = 6,21,000. Step 5: Population in 2023 = 6,21,000.

Question 15

A product's price is first reduced by 30%, then increased by 40%. If the final price is ₹980, what was the original price?

Accepted Answer

Step 1: Let original price = x. Step 2: After 30% reduction: Price = x × 0.70. Step 3: After 40% increase: Price = x × 0.70 × 1.40 = x × 0.98. Step 4: Given final price = ₹980. Step 5: x × 0.98 = 980. Step 6: x = 980 / 0.98 = ₹1,000.

Question 16

In an election, Candidate A received 45% of votes, Candidate B received 35% of votes, and Candidate C received the remaining votes. If Candidate A won by 8,000 votes over Candidate B, what was the total number of votes cast?

Accepted Answer

Step 1: Let total votes = x. Step 2: Candidate A received = 0.45x. Step 3: Candidate B received = 0.35x. Step 4: Candidate C received = 0.20x. Step 5: A won by 8,000 votes over B means: 0.45x - 0.35x = 8,000. Step 6: 0.10x = 8,000. Step 7: x = 80,000.

Question 17

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

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%.

IBPS Clerk Percentage Word Problems

IBPS Clerk Percentage Word Problems — Past Exam Questions

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