Table of contents |
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Introduction |
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To Convert Fractions, Decimals, and Percentages from One Form to Another |
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Finding the Percentage of a Number |
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Word Problems |
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(i) To Convert a Fraction into a Percentage
Rule: To convert a fraction into a percentage, multiply by 100.
Example Calculations:
Rule: To convert a percentage into a fraction, divide by 100.
Example Calculations:
Rule: To convert a decimal into a percentage, multiply by 100 or shift the decimal point two places to the right.
Example Calculations:
Rule: To convert a percentage into a decimal, divide by 100 or shift the decimal point two places to the left.
Example Calculations:
The following examples will help you to understand the required procedure.
Example 1: Find:
(a) 20% of 80
(b) 32% of 75
(c) 45% of 80 days
(a) 20% of 80
Hence, 20% of 80 = 16.
(b) 32% of 75Hence, 32% of 75 = 24
(c) 45% of 80 days
Hence, 45% of 80 days = 36 days.
Example 2: What per cent of 80 is 60?
60 out of 80 is equivalent to the fraction 60 / 80.
Hence, 75% of 80 is 60.
Example 3: Find the number whose:
(a) 15% is 24
(b) 36% is 117
(a) We have, 15% of the required number = 24
Thus, the required number
Hence, 160 is the required number whose 15% is 24.
(b) We have 36% of the required number = 117Thus, the required number
Hence, 325 is the required number whose 36% is 117.
Example 4: In a school, there are 725 students. Out of these, 32 are girls. How many girls are there? Also, find the number of boys in the school.
Sol:
Total number of students = 725
Number of girls = 32% of 725
= 232
Now, the number of boys can be calculated as by subtracting the number of girls from the total number of students.
Number of boys in the school = 725 - 232 = 493
Example 5: The population of a village is 3,250 out of them 52% are males. Find the number of males in the village. Also, find the number of females in the village.
Sol:
We know that 52% of the population is males. Let us find out the number.
Total population = 3,250
Males in the population = 52% of 3250
= 1690
Therefore, there are 1,690 males in the village.
To find out the number of females in the village, we simply subtract the number of males from the total population.
Number of females = 3250 - 1690 = 1560
30 videos|112 docs|15 tests
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1. What are the different ways to express the same value in fractions, decimals, and percentages? | ![]() |
2. How do you convert a fraction to a percentage? | ![]() |
3. What is the method for finding the percentage of a number? | ![]() |
4. Can you explain how to solve word problems involving percentages? | ![]() |
5. Why is it important to understand the relationship between fractions, decimals, and percentages? | ![]() |