Percentages are often used for calculations involving money. We get to see various scenarios in our day to day life where we can apply the concept of Percentage . Percentages are used in many types of problems and situations. Applications of Percentages help you solve different types of real-life percent problems. For better understanding, we have provided step by step explanation of all the Problems on Percentages.
1. In a survey of 100 students, 60% of students liked Science, and the rest of the students liked Arts. How many number of students liked Science?
Solution:
Total Number of Students Participated in the Survey = 100
60% of Students liked Science = 60/100*100
= 60
Therefore, 60 Students Liked Science.
2. The Price of a Good increase from $18 to $20. Express the Percentage Increase of the Good?
Solution:
Increased Price = $20 – $18
= $2
Percentage Increase = (Increased Value/Original Price)*100
= ($2/$18)*100
= 100/9
= 11.11%
Thus, the Price of Good increases by 11.11%
3. Father’s Weight is 30 % more than that of his son. What Percent is Son’s Weight Less than Father’s Weight?
Solution:
Let Son’s Weight be 100 Kg
Father’s weight is 30% more than son’s i.e. 130 Kg
If Father’s Weight is 130kg then Son’s weight is 100kg
If Father’s Weight is 1 kg then Son’s Weight is 130/100
If Father’s Weight is 100kg then Son’s Weight is (100/130*100) Kg
Thus, Son’s Weight is 23.08 % less compared to his father.
4. What number is 30% of 90?
Solution:
Let the number to be m
30% of m = 90
30/100*m = 90
m = (90*100)/30
= 9000/30
= 300
Therefore, the number is 300.
5. Komali and her sister enjoyed dinner in a restaurant, and the bill was $75.50. If she wants to leave 15% of the total bill as her tip, how much should she leave?
Solution:
Total Bill = $75.50
From the given data Komali wants to leave 15% of Bill as tip = 15% of 75.50
= (15/100)*75.50
= $11.325
Thus, Komali has to leave $11.325 as a tip in the restaurant.
6. One serving of rice has 110 mg of sodium, which is 10% of the recommended daily amount. What is the recommended daily amount of sodium in total?
Solution:
Let total daily amount of sodium required = m
From given data 10% of m = 110 mg
10/100*m = 110
m = (110*100)/10
= 1100
Therefore, daily amount of sodium required in total is 1100 mg.
7. Cierra is making muffins from a mix and each muffin had 240 calories and 80 calories are fat. What Percent of Total Calories is Fat?
Solution:
Fat Calories Percent = 80/240*100
= 8000/240
= 33.33%
Thus, 33.33% Percent of Total Calories is Fat.
8. Kiara requires 30% to pass. She gets 180 marks and falls short by 20 marks. Find the maximum numbers she could have got(round to the nearest)?
Solution:
To get 30% kiara should score 180+20 = 200 Marks
Let the maximum numbers = m
30% of m = 200
30/100*m = 200
m = (200*100)/30
= 666
Therefore, Kiara Should have got 666 Marks.
8. If the tax rate is 8% what would be sales tax if the price of the truck is $24,000?
Solution:
Tax Rate = 8%
Sales Tax = 8% of $24, 000
= 8/100*24, 000
= 1920
Sales Tax of the Truck is $1920.
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