Finding percentage is one of the most important chapters for anyone learning about percentages. This section has questions on finding percentages about marks, population, exams, schools, distances, time and travel etc.
Finding Percentage Formula
%= (Part/total)x100
Where Part= Required or to be found Quantity
Total: Total Quantity. For more details check out our percentage formula page.
Question 1: Out of 25 students in a class, 15 are boys and the rest are girls. Find the percentage of girls in the class.
Solution:
Total students in the class = 25
Number of boys = 15
Number of girls = 25 − 15
= 10
Percentage of girls
= (Part / Total) × 100
= (Girls / Total Students) × 100
= (10 / 25) × 100
= 40%
Answer: The percentage of girls in the class is 40%.
Question 2:In a sports tournament, 40% of the participants were from Gujarat. Out of these participants, 20% belonged to Ahmedabad. What percentage of the total participants were from Ahmedabad?
Solution:
Participants from Gujarat = 40%
Participants from Ahmedabad = 20% of 40%
= (20/100) × (40/100) × 100
= 800/10000 × 100
= 8%
Answer: 8% of the total participants were from Ahmedabad.
Question 3: Rahul obtained 360 marks out of 600 in his 10th board examination. He Got
_______ % marks in the examination.
Solution:
Total Marks = 600
Marks Obtained by Rahul = 360
Percentage of Marks
= (Obtained Marks / Total Marks) × 100
= (360 / 600) × 100
= 60%
Answer: Rahul obtained 60% marks in the examination.
Question 4: 25 Kg is what % of 50 Kg
Solution:
Part = 25 kg
Total = 50 kg
Percentage
= (Part / Total) × 100
= (25 / 50) × 100
= 50%
Answer: 25 kg is 50% of 50 kg.
Question 5: Find out what percentage of 80 kg is 100 kg
Solution:
Percentage
= (100/80) × 100
= 125%
Answer: 100 kg is 125% of 80 kg.
Question 6: A man travelled 60 km by his motorcycle and 240 km by bus. Find out what percentage of his journey the man travelled with motorcycle and by bus separately.
Solution:
Total Distance Travelled
= 60 + 240
= 300 km
Percentage travelled by motorcycle
= (60/300) × 100
= 20%
Percentage travelled by bus
= (240/300) × 100
= 80%
Answer: The man travelled 20% of the journey by motorcycle and 80% by bus.
Question 7: 55% of the population of a town are men and 40% are women. What is the percentage of children?
Total Population = Men + Women + Children
100% = 55% + 40% + Children
Children
= 100% − 55% − 40%
= 5%
Answer: The percentage of children in the town is 5%.
Question 8: A school has 200 students. And if 45 % of them are girls then find out what % of boys are in the school?
Solution:
Girls + Boys = 100%
45% + Boys = 100%
Boys
= 100% − 45%
= 55%
Answer: The percentage of boys in the school is 55%.
Question 9: What per cent of 1 hour is 25 minutes?
Solution:
1 hour = 60 minutes
Percentage
= (25/60) × 100
= 2500/60
= 41.67%
Answer: 25 minutes is 41.67% of 1 hour.
Question 10: What per cent of 1 km is 500 metres?
Solution:
1 kilometre = 1000 metres
Percentage
= (500/1000) × 100
= 50%
Answer: 500 metres is 50% of 1 kilometre.
Question 11: 400 kg of mortar consists of 33% cement, 55% sand and rest lime. What is the percentage of lime?
Cement + Sand + Lime = 100%
33% + 55% + Lime = 100%
Lime
= 100% − 33% − 55%
= 12%
Answer: The percentage of lime in the mortar is 12%
Question 12: In a competition, Ramesh scored 366 Marks out of 600 and his brother scored 360 Marks out of 500. Whose performance is better?
Solution:
Ramesh’s Percentage
= (366/600) × 100
= 61%
Brother’s Percentage
= (360/500) × 100
= 72%
Since 72% > 61%,
Answer: Ramesh’s brother performed better in the competition.
Question 13: What per cent of 1 day is 1 minute?
Solution:
1 day = 24 hours
1 hour = 60 minutes
Therefore,
1 day = 24 × 60
= 1440 minutes
Percentage
= (1/1440) × 100
= 100/1440
= 5/72
= 0.06944%
Answer: 1 minute is approximately 0.0694% of 1 day.
Question 14: A student attended 195 classes out of 220 classes conducted during the session. Find the attendance percentage.
Solution:
Total Classes Conducted = 220
Classes Attended = 195
Attendance Percentage
= (195/220) × 100
= 88.63%
Answer: The student’s attendance percentage is 88.63%.
Question 15: Out of 650 candidates who appeared for the RRB examination, 140 qualified. Find the percentage of candidates who did not qualify.
Solution:
Total Candidates Appeared = 650
Candidates Qualified = 140
Candidates Not Qualified
= 650 − 140
= 510
Percentage of Candidates Not Qualified
= (510/650) × 100
= 78.46%
Answer: 78.46% of the candidates did not qualify.
Question 16: A recruitment notification announced 6500 vacancies. Out of them, 650 vacancies were reserved for a certain category. What percentage of vacancies were reserved?
Solution:
Total Vacancies = 6500
Reserved Vacancies = 650
Percentage of Reserved Vacancies
= (650/6500) × 100
= 10%
Answer: 10% of the vacancies were reserved.
Question 17: A batsman scored 82 runs out of his team’s total score of 245 runs. What percentage of the team’s runs were scored by the batsman?
Solution:
Total Score of the Team = 245 runs
Runs Scored by the Batsman = 82 runs
Percentage of Runs Scored by the Batsman
= (82/245) × 100
= 33.47%
Answer: The batsman scored 33.47% of the team’s total runs.
Important Links to Percentage
- Fraction to Percentage Questions with Answers
- Basic Percentage Questions with Answers and Solutions
- Percentage: Meaning, Formula, Examples & Questions for Exams
- Percentage to Fraction Questions with Answers (Solved Examples)
- Percentage Formula: Formulas, Examples, Increase, Decrease & Formula Sheet
- Find the Number Questions | Percentage Questions with Solutions
- Percentage Increase Questions with Answers
- Percentage Decrease Questions with Answers and Solutions
- Successive Percentage Questions with Answers and Solutions
- Percentage Practice Questions with Answers | MCQs, Quiz & Practice Set