Percentage of the given Quantity | Finding a Percentage of a Quantity

# Percentage of the given Quantity | Finding a Percentage of a Quantity

If you wish to know the Percentage of a Quantity this article is going to help you a lot. Get to know about the step by step procedure for finding a percentage of a quantity. You will learn about What is a Percentage and How to find the Percentage of a Given Number in the coming modules. Have a glance at the solved examples and know the approach used to solve related problems.

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## What is Percentage?

The Word Percent means Per Hundred. The percentage is a Ratio or Number as a fraction over 100. The percentage is followed by symbol %. It is the result obtained on multiplying a specific number by percent. Percentage of a Quantity is followed by the Phrase “of”.

Ex: 5%, 12%

### How to find a Percentage of a Quantity?

Follow the simple and easy steps listed below to get the percentage of a quantity. They are along the lines

• Obtain the number and consider it as n
• Get the Percentage Value from the given data and assume it to be R%
• To find R% of n you just need to multiply R with n and then divide the value by 100 to acquire the Percentage Value.

To help you understand the Percentage of a Quantity and its procedure above we have listed solved examples below.

### Solved Examples on Finding the Percentage of a Given Quantity

1. Find the Value of 35% of 200?

Solution:

We need to find 25% of 200

Phrase Of is nothing but multiplication.

= (25/100)*200

= 50

2. What is 12% of 1 Hour?

Solution:

We need to find 12% of 1 Hour

1 Hour = 60 minutes

= (12/100)*60

= 7.2 minutes

3. Find the number whose 10% is 70?

Solution:

Let the required number be n

(10*n)/100 = 70

10n = 70*100

n = (70*100)/10

= 700

Therefore, 10% of 700 is 70.

4. Find 15% of 400Kg?

Solution:

15% of 400Kg

= 15/100*(400)

= 60Kg

Therefore, 15% of 400Kg is 60 Kg.

5. What percent of 90 is 18?

Solution:

Divide the quantity by the percentage

= 18/90

Multiply with 100

= (18/90)*100

= 1/5*100

= 20%

20% of 90 is 18.

### Word Problems on Finding the Percentage of a Given Quantity

6. What is the Sum of Money of Which 20% of $500? Solution: Let the sum of money to be found is$m.

20%*m = 500

20/100*m = 500

m = 500*100/20

=2500

Therefore, 20% of $2500 is$500.

7. An alloy contains 12 % of copper. What quantity of alloy is required to get 240 g of copper?

Solution:

Let the quantity of alloy needed = m g

12% of m = 240g

12/100*m = 240

m = (240*100)/12

= 2000g

The quantity of alloy required to get 240g of copper is 2000g.

8. In a basket of guava, 12% of them are spoiled and 60 are in good condition. Find the total number of guava in the basket?

Solution:

Let us consider the amount of guava to be found as m

12% of them spoiled and 60 are in good condition. From this statement, we can write as follows

88% of m = 60

88/100*m = 60

m = (60*100)/88

m = 68

Therefore, the total number of guava in the basket is 68.

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