Solves percentage quantity using \[ \frac{a}{100} \times b\% \]
Percentage quantity refers to the amount or quantity represented by a certain percentage of a whole. It is often used to express proportions or fractions in terms of a percentage.
q = b% * a/100
Where,
a = Total quantity value
b= the percentage or portion of, as part of the original value, a
q% = is the result to be computed.
If a class has 30 students and 20% of them are absent, how many students are absent?
Calculation
To find the percentage quantity, we multiply the total number of students by the percentage:
Recall the formula
q = b% * a/100
Where a = 30 students, b = the percentage of student absent
Hence,
30 x 20% = 30 x 0.20 = 6
Therefore, there are 6 students absent.
If a recipe calls for 2 cups of flour and you want to use 75% of the recommended amount, how much flour should you use?
Solution
To find the percentage quantity, we multiply the recommended amount by the percentage:
Where a = 2 cups of flour, b = 75%
Using the formula
2 cups * 75%
= 2 cups x 0.75
= 1.5 cups
So, you should use 1.5 cups of flour.
If a company's total revenue is $10,000 and 15% of it is profit, how much profit did the company make?
Solution
To find the percentage quantity, we multiply the total revenue by the percentage:
Where a = $10,000, b = 15%
Hence,
$10,000 x 15%
= $10,000 x 0.15
= $1,500
Hence, the company made a profit of $1,500.
If a container can hold 500 ml of liquid and it is filled to 80% of its capacity, how much liquid is in the container?
Solution
To find the percentage quantity, we multiply the capacity by the percentage:
Where a = 500 ml, b = 80%
Apply the percentage quantity formula
500 ml x 80%
= 500 ml x 0.80
= 400 ml
Final answer, there are 400 ml of liquid in the container.
1. Sales Discount: If a store offers a 20% discount on a product that originally costs $50, you can calculate the discount amount using percentage quantity:
$50 x 20% = $50 x 0.20 = $10
Therefore, the discount amount is $10.
2. Tip Calculation: When dining at a restaurant, you may want to leave a 15% tip on a $60 bill. Using percentage quantity, you can calculate the tip amount:
$60 x 15% = $60 x 0.15 = $9
Hence, the tip amount is $9.
These examples illustrate how percentage quantity can be used in various situations, such as calculating absent students, ingredient quantities, profit amounts, liquid volumes, discounts, and tip amounts.
