Solved Examples on Percentage Provided helps you solve different types of questions based on the concept. You can learn the approach to solve the Percentage Problems and answer similar kind of questions easily. Practice Percentage Questions and Answers regularly and learn the concept behind them easily. Once you are familiar with the concept you can apply the same in real-life situations and solve the problems related.
1. A student erroneously multiplied a number by 3/5 instead of 4/5. What is the percentage error in the calculation?
Solution:
Error = 4/5- 3/5 = 1/5
Percentage Error = Error/Original Number
= (1/5)/(4/5)*100
= (1/5*5/4)*100
= 100/4
= 25%
Errror Percentage is 25%.
2. A shopkeeper bought 400 oranges and 600 bananas. He found 10% of oranges and 12% of bananas were rotten. Find the number of fruits in good condition?
Solution:
Given 400 Oranges and 600 Bananas
10% of Oranges are rotten = 10% of 400
= 10/100*400
= 40
12% of bananas are rotten = 12% of 600
= 12/100*600
= 72
Number of Oranges in Good Condition = 400 – 40
= 360
Number of Bananas in Good Condition = 600 – 72
= 528
3. Amar had $ 1200 left after spending 20 % of the money he took for shopping. How much money did he take along with him?
Solution:
Let the amount of money Amar took = x
From the given data, he spent 20% of x
x- 20% of x= $1200
x- 20/100*x = $1200
x(1-20/100) = $1200
x(80/100) = $1200
x= (1200*100)/80
= 1500
Therefore, the money Amar took for Shopping is $1500.
4. The total population of a city increased from 15, 000 to 22, 500 in a year. The percentage increase of population per year of that city is?
Solution:
The population of town initially = 15, 000
The population of town after a year = 22500
Increased Value = 22, 500 – 15,000
= 7, 500
Percentage Increase = (Increased Value/ Original Value)*100
= (7, 500/15, 000)*100
= 50%
Therefore, total population of a city increased by 50% in an year.
5. If A = u% of v, B = v% of u what can you say about the statement?
Solution:
Given
A = u% of v
= u/100*v
= uv/100
B = v% of u
= v/100*u
= vu/100
Therefore, A = B
6. Three candidates A, B, C contested in an election and got 10000, 8400, and 11750 votes respectively. What percentage of the total votes did the winning candidate get?
Solution:
Among the Candidates, C got the highest Votes
Total Votes = 10, 000+8400+11750
= 30, 150
Percentage of Total Votes gained by C = (Votes he got/Total Votes Polled) *100
= (11750/30, 150)*100
= 38.97%
Therefore, Contestant C got 38.97% of the Votes.
7. A school has increased its student count from 120 students to 220. How big is the increase in the percent of students?
Solution:
Initial Student Count = 120
New Student Count = 220
Increased Student Count = (220 -120)/120*100
= 100/120*100
=10000/120
= 83.33%
Therefore, the student count increased by 83.33%.