Question 1

A shopkeeper bought a shirt for ₹400. He marked it up by 50% and then gave a discount of 20% on the marked price. What is his profit percentage?

Accepted Answer

Step 1: Cost Price (CP) = ₹400. Step 2: Marked Price (MP) = 400 + 50% of 400 = 400 + 200 = ₹600. Step 3: Discount = 20% of 600 = ₹120. Step 4: Selling Price (SP) = 600 - 120 = ₹480. Step 5: Profit = 480 - 400 = ₹80. Step 6: Profit % = (80/400) × 100 = 20%.

Question 2

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

Accepted Answer

Step 1: Let total marks = x. Step 2: 72% of x = 360. Step 3: 0.72x = 360. Step 4: x = 360 ÷ 0.72 = 500.

Question 3

In an examination, 65% of students passed in Mathematics and 75% passed in English. If 55% passed in both subjects, what percentage of students failed in both subjects?

Accepted Answer

Step 1: Let total students = 100. Step 2: Students who passed in at least one subject = (Passed in Math) + (Passed in English) - (Passed in both) = 65 + 75 - 55 = 85. Step 3: Students who failed in both subjects = 100 - 85 = 15%.

Question 4

A mobile phone's price is reduced by 30%. If the new price is ₹14,000, what was the original price?

Accepted Answer

Step 1: Let original price = x. Step 2: After 30% reduction, new price = x - 30% of x = 0.70x. Step 3: 0.70x = 14,000. Step 4: x = 14,000 ÷ 0.70 = ₹20,000.

Question 5

The price of sugar increased by 25%. By what percentage should a family reduce its consumption to keep the expenditure the same?

Accepted Answer

Step 1: Let original price = P and original consumption = C. Original expenditure = P × C. Step 2: New price = 1.25P. Step 3: For same expenditure: 1.25P × New Consumption = P × C. Step 4: New Consumption = C ÷ 1.25 = 0.80C. Step 5: Reduction in consumption = C - 0.80C = 0.20C. Step 6: Percentage reduction = (0.20C ÷ C) × 100 = 20%.

Question 6

A company's revenue increased from ₹50 lakhs to ₹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 7

A person spends 30% of his salary on rent, 25% on food, and 15% on transportation. The remaining amount is ₹18,000. What is his total monthly salary?

Accepted Answer

Step 1: Total percentage spent = 30% + 25% + 15% = 70%. Step 2: Remaining percentage = 100% - 70% = 30%. Step 3: If 30% of salary = ₹18,000, then salary = 18,000 / 0.30 = ₹60,000.

Question 8

A shopkeeper marks his goods 40% above the cost price. He then offers a discount of 20% on the marked price. If the cost price of an item is ₹500, what is his profit percentage?

Accepted Answer

Step 1: Cost Price (CP) = ₹500. Marked Price (MP) = 500 + (40% of 500) = 500 + 200 = ₹700. Step 2: Discount = 20% of 700 = ₹140. Selling Price (SP) = 700 - 140 = ₹560. Step 3: Profit = 560 - 500 = ₹60. Profit % = (60/500) × 100 = 12%.

Question 9

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

Accepted Answer

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

Question 10

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 80,000, how many more votes did A receive than B?

Accepted Answer

Step 1: Candidate A received 55% of 80,000 = 0.55 × 80,000 = 44,000 votes. Step 2: Candidate B received 45% of 80,000 = 0.45 × 80,000 = 36,000 votes. Step 3: Difference = 44,000 - 36,000 = 8,000 votes.

Question 11

The price of a commodity increased by 25% in the first year and then decreased by 20% in the second year. If the original price was ₹400, what is the final price after two years?

Accepted Answer

Step 1: After first year increase of 25%: Price = 400 × (1 + 0.25) = 400 × 1.25 = ₹500. Step 2: After second year decrease of 20%: Price = 500 × (1 - 0.20) = 500 × 0.80 = ₹400. Step 3: Final price = ₹400.

Question 12

In a college, 40% of students are boys and 60% are girls. Among boys, 25% play cricket. Among girls, 20% play cricket. If 78 students play cricket in total, how many girls do NOT play cricket?

Accepted Answer

Step 1: Let total students = x. Boys = 0.40x, Girls = 0.60x. Step 2: Boys playing cricket = 0.25 × 0.40x = 0.10x. Girls playing cricket = 0.20 × 0.60x = 0.12x. Step 3: Total playing cricket = 0.10x + 0.12x = 0.22x = 78. So x = 78/0.22 = 350. Step 4: Total girls = 0.60 × 350 = 210. Girls playing cricket = 0.12 × 350 = 42. Girls NOT playing cricket = 210 - 42 = 168.

Question 13

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 2,000 votes over Candidate B, how many votes did Candidate C receive?

Accepted Answer

Step 1: Let total votes = x. Candidate A = 0.45x, Candidate B = 0.35x, Candidate C = 0.20x. Step 2: A's margin over B = 0.45x - 0.35x = 0.10x = 2,000. So x = 20,000. Step 3: Candidate C = 0.20 × 20,000 = 4,000 votes.

Question 14

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

Question 15

A vendor buys apples at ₹40 per kg. He sells 80% of the apples at ₹60 per kg and the remaining 20% at ₹50 per kg. What is his overall profit percentage?

Accepted Answer

Step 1: Assume 100 kg of apples. Cost Price = 100 × 40 = ₹4,000. Step 2: Revenue from 80 kg at ₹60/kg = 80 × 60 = ₹4,800. Revenue from 20 kg at ₹50/kg = 20 × 50 = ₹1,000. Total Revenue = 4,800 + 1,000 = ₹5,800. Step 3: Profit = 5,800 - 4,000 = ₹1,800. Profit % = (1,800/4,000) × 100 = 45%.

SBI Clerk Percentage Word Problems

SBI Clerk Percentage Word Problems — Past Exam Questions

Percentage Word Problems— Rules & Concept

Key Points to Remember

Exam-Specific Tips

60-Second Revision — Percentage Word Problems