Mastering Percentages: Solving Basic Percentage Problems

Percentage is a way of expressing a quantity or amount as a fraction of 100.
It is represented by the symbol “%”.
For example, if you scored 85 out of 100 in a test, your percentage score would be 85%.

To express percentages in fractions, simply divide the percentage by 100 and simplify the resulting fraction if possible.
For example:
25% = 25/100 = 1/4
75% = 75/100 = 3/4
60% = 60/100 = 3/5
10% = 10/100 = 1/10

To express percentages in decimals, simply divide the percentage by 100.
For example:
25% = 25/100 = 0.25
75% = 75/100 = 0.75
60% = 60/100 = 0.60
10% = 10/100 = 0.10

Let’s Do Some Practice 

1.Express 40% as a fraction and a decimal.
Solution:
40% = 40/100 = 2/5 = 0.40

2.Express 125% as a fraction and a decimal.
Solution:
125% = 125/100 = 5/4 = 1.25

3.Express 3/5 as a percentage and a decimal.
Solution:
3/5 = 60/100 = 60% = 0.60

4.Express 0.75 as a percentage and a fraction.
Solution:
0.75 = 75/100 = 75% = 3/4

5.Express 1/8 as a percentage and a decimal.
Solution:
1/8 = 12.5% = 0.125

6.Express 80% as a fraction and a decimal.
Solution:
80% = 80/100 = 4/5 = 0.80

7.Express 5/6 as a percentage and a decimal.
Solution:
5/6 = 83.33% = 0.8333

8.Express 150% as a fraction and a decimal.
Solution:
150% = 150/100 = 3/2 = 1.50

9.Express 0.125 as a percentage and a fraction.
Solution:
0.125 = 12.5% = 1/8

10.Express 0.4 as a percentage and a fraction.
Solution:
0.4 = 40% = 2/5

11.Express 2.5% as a fraction and a decimal.
Solution:
2.5% is equivalent to 2.5/100, which can be simplified to 1/40 as a fraction.
As a decimal, 2.5% is equal to 0.025.

12.Express 60% as a fraction and a decimal.
Solution:
60% is equivalent to 60/100, which can be simplified to 3/5 as a fraction.
As a decimal, 60% is equal to 0.6.

Now General Percentage Problems
Requested By:

Question 1:
What percentage is equivalent to 3/4?
Solution:
We can set up a proportion: x/100 = 3/4,
where x is the percentage we’re trying to find. Cross-multiplying,
we get 4x = 300, so x = 75%.
Therefore, 3/4 is equivalent to 75%.
Requested by: Asif 

Question 2:
If 40% of a number is 24, what is the number?
Solution:
We can set up a proportion: 40/100 = 24/x,
where x is the number we’re trying to find.
Cross-multiplying,
we get 40x = 2400, so x = 60.
Therefore, the number is 60.
Requested by: Ahmed Ali

Question 3:
What is 15% of 80?
Solution:
To find 15% of 80,
we can multiply 80 by 0.15.
This gives us 12.
Requested by: Ahmed Ali

Question 4:
If a pizza has 12 slices and a person eats 3 slices, what percentage of the pizza did they eat?
Solution:
To find the percentage, we can divide the number of slices eaten by the total number of slices and then multiply by 100.
This gives us (3/12) x 100 = 25%.
Therefore, the person ate 25% of the pizza.
Requested by: Ali Nawaz

Question 5:
A recipe calls for 1/2 cup of sugar for every 2 cups of flour. What percentage of the recipe is sugar?
Solution:
To find the percentage, we can divide the amount of sugar by the total amount of ingredients (sugar + flour) and then multiply by 100.
This gives us (1/2) / (1/2 + 2) x 100 = 20%.
Therefore, sugar makes up 20% of the recipe.
Requested by: Ali Nawaz

Question 6:
A recipe calls for 3/4 cup of milk for every 1 cup of flour. What percentage of the recipe is milk?
Solution:
To find the percentage, we can divide the amount of milk by the total amount of ingredients (milk + flour) and then multiply by 100.
This gives us (3/4) / (3/4 + 1) x 100 = 42.86% (rounded to two decimal places).
Therefore, milk makes up 42.86% of the recipe.
Requested by: Ali Nawaz

Question 7:
A pizza has 8 slices and a person eats 2 slices. What percentage of the pizza did they eat?
Solution:
To find the percentage, we can divide the number of slices eaten by the total number of slices and then multiply by 100.
This gives us (2/8) x 100 = 25%.
Therefore, the person ate 25% of the pizza.
Requested by: Ali Nawaz

Question 8:
A recipe calls for 2 cups of flour and 1 cup of sugar. If a baker wants to make a smaller batch using only 1 cup of flour, how much sugar should they use?
Answer:
(1/2 x 1 = 0.5)
The baker should use 0.5 cups of sugar
Requested by: Meer Muhammad

Question 9:
A car rental company charges $50 per day for a rental car, with an additional charge of 10 cents per mile driven.
If a customer rents a car for 3 days and drives 150 miles, how much will they be charged?
Answer:
($50 x 3 + $0.10 x 150 = $65)
The customer will be charged $65
Requested by: Sarfaraz Ahmed

Now to find out
New Price/Sale Price

Question 1:
If a shirt originally costs $40 and is now on sale for 20% off, what is the new price?
Solution:
The discount is 20% of $40, which is $8.
Therefore, the new price is $40 – $8 = $32.
Requested by: Asim

Question 2:
A shirt that was originally priced at $50 is now on sale for 20% off. What is the sale price?
Answer:
($50 – (20% x $50) = $40).
The sale price of the shirt is $40
Requested by: Asim

Question 3:
A car dealership offers a 5% discount on all new cars. If a car costs $25,000, what is the sale price?
Solution:
The discount is 5% of $25,000, which is $1,250.
So,the sale price is $25,000 – $1,250 = $23,750.
Requested by: Aakash Kumar

Question 4:
A store has a sale where all items are 20% off. If a shirt originally costs $30, what is the sale price?
Solution:
The discount is 20% of $30, which is $6.
Therefore, the sale price is $30 – $6 = $24.
Alternative Method
A store has a sale where all items are 30% off. If a book originally costs $20, what is the sale price?
Answer: The sale price of the book is $14
Requested by: Asad

Question 5:
A movie theater has a seating capacity of 500 people. If 80% of the seats are filled for a particular movie, how many people are in the audience?
Solution:
There are 500 x 0.80 = 400 people in the audience.
Requested by: Ameer Bux

Question 6:
If 15% of the people in a city are over the age of 65, and there are 300,000 people living in the city, how many people are over the age of 65?
Answer:
(15% x 300,000 = 45,000).
There are 45,000 people over the age of 65
Requested by: Ameer Bux

Question 7:
A company has 100 employees, 60% of whom are women. How many of the employees are women?
Answer:
(60% x 100 = 60)
There are 60 women employees
Requested by: Ameer Bux

Question 8:
A gym membership costs $60 per month. If a member gets a 10% discount for paying for 6 months in advance, how much will they save?
Solution:
The discount is 10% of 6 months’ worth of membership fees, which is $60 x 6 x 0.10 = $36.
Therefore, the member will save $36.
Requested by: Daniyal

Question 9:
A restaurant’s food cost is 30% of its revenue. If the restaurant’s revenue last month was $50,000, how much did they spend on food cost?
Solution:
The food cost is 30% of $50,000, which is $15,000.
Therefore, the restaurant spent $15,000 on food cost.
Requested by: Aamir

Question 10:
A company has 500 employees, and 60% of them have been with the company for more than 5 years.
How many employees have been with the company for more than 5 years?
Solution:
There are 500 x 0.60 = 300 employees who have been with the company for more than 5 years.
Requested by: Muneeb

Question 11:
If a car depreciates by 15% each year, how much will it be worth after 3 years if its original value was $20,000?
Solution:
After one year, the car will be worth 85% of its original value, or $17,000.
After two years, it will be worth 85% of $17,000, or $14,450.
After three years, it will be worth 85% of $14,450, or $12,282.50.
Requested by: Aayan

Question 12:
If a company’s profits increase by 25% from one year to the next, what is the new profit if the original profit was $10,000?
Solution:
The increase in profits is 25% of $10,000, which is $2,500.
Therefore, the new profit is $10,000 + $2,500 = $12,500.
Requested by: Muhammad Ali

Question 13:
If a company’s revenue was $500,000 last year and it increased by 15% this year, what is the new revenue?
Solution:
The increase in revenue is 15% of $500,000, which is $75,000.
Therefore, the new revenue is $500,000 + $75,000 = $575,000.
Requested by: Muhammad Ubaid

Question 14:
If a company’s profit margin is 20%, and its revenue last year was $1,000,000,
how much profit did the company make?
Solution:
The profit is 20% of $1,000,000, which is $200,000.
Therefore, the company made $200,000 in profit.
Requested by: Aqib

Question 15:
If a company’s expenses for the year were $1,000,000 and their revenue was $1,200,000,
what was their profit margin as a percentage?
Answer: (($1,200,000 – $1,000,000) / $1,200,000 x 100 = 20%)
The company’s profit margin was 20%
Requested by: Faizan

Question 16:
If a recipe calls for 2 cups of sugar for every 3 cups of flour, what is the sugar-to-flour ratio as a percentage?
Solution:
The sugar-to-flour ratio is 2:3. To express this as a percentage,
we can add the two numbers in the ratio (2 + 3 = 5)
and then divide each number by the sum and multiply by 100.
This gives us (2/5) x 100 = 40%.
Requested by: Anwar