convert 10 gram 40' into grades
optional maths question
pls with process plss
Answers
Answer:
Hope it helpssss
Step-by-step explanation:
70100
= can be called as 70 percent. = 70%
20100
= can be called as 20 percent. = 20%
53100
= can be called as 53 percent. = 53%
97100
= can be called as 97 percent. = 97%
Formula to calculate Percentage
It is easier to find the percentage if it is out of a hundred but how to calculate the percentage if it is not out of 100? Suppose there are 60 students in a class and 3 of them were absent. So how to calculate the percentage of students absent?
Percentage = Numberofsubjectofwhichpercentageistobefound(Part)TotalNumber(Base)×100%
Here, we need to find the number of students absent. Part = 3, Base = 60.
= 50 %
Therefore, 5% of the students were absent.
Use of Percentage as for comparing Quantities
Percentage being a convenient way of writing a fraction becomes an integral tool for comparing quantities. Let’s take an example to explain why percentage is prefered more than a fraction. Suppose Yusra comes and tells her parents that she is better in maths because she scored 80 marks and Tasnim scored 70 marks in maths in their respective classes. Would you believe it?
No, because we only know the part and are not aware of the base (total) marks. So let’s check the reality. Yusra scored 80 marks out of 120 marks whereas Tasnim scored 70 marks out of 100 marks. The fraction of Yusra’s marks and Tasnim’s marks are 80120 and 70100 respectively but still we are not sure who scored better. So now let’s calculate the percentage,
Yusra’s percentage in maths =PartBase×100=80120=66.6%
Tasnim’s percentage in maths =PartBase×100=70100=70%
From the above example, we clearly noticed that choosing a bigger fraction from 80120
and 70100
is a little tricky but choosing a bigger percentage from 66.6% and 70% is easier. So now we can say that Tasnim’s score is better than Yusra’s score because 70% is more than 66.6%. Therefore, it is now clear that the percentage is more helpful than fractions when it comes to comparing quantities.
How to calculate the percentage of marks?
How to find out the percentage of marks of a class having 30 students out of which 25 students passed in Maths and 5 students failed. The students who failed in Maths got 15, 30, 22, 7 and 35 out of 80 respectively. Calculate the percentage of students who failed in Maths. And also show how to find the percentage of marks of students who failed in Maths.
Solution: a) Let the students who failed in Maths be A, B, C, D and E. Shown below is the method of how to calculate percentage from marks:
Percentage of marks of Student A =1580×100=754=18.75%
.
Percentage of marks of Student B =3080×100=3008=37.5%
Percentage of marks of Student C =2280×100=1104=27.5%
Percentage of marks of Student D =780×100=708=8.75%
Percentage of marks of Student E =3580×100=1754=43.75%
Therefore, the students who got 18.75%, 37.5%, 27.5%,8.75% and 43.75% failed in maths.
b) If 5 out of 30 students failed in Maths then the percentage of students who failed in maths are: 530×100=503=16.66%
Therefore, 16.66% of the total students failed in Maths.
Important Conversions
Convert into Percentage
Procedure
(multiply with 100)
Convert from Percentage
Procedure
(divide by 100)
Fraction to Percentage
Step 1: Multiply the fraction with 100
Percentage into fraction
Step 1: Divide the percentage by 100 and reduce.
Decimal to Percentage
Step 1: Express the number as a fraction
Step 2: Multiply the fraction with 100
Percentage into Decimal
Step 1: Divide the percentage by 100 and reduce.
Step 2: Convert the fraction into a decimal
Ratio to Percentage
Step 1: Express the number as a fraction
Step 2: Multiply the fraction with 100
Percentage into Ratio
Step 1: Divide the percentage by 100 and reduce.
Step 2: Convert the fraction into a ratio
Natural number to percentage
Step 1: Express the number as a fraction
Step 2: Multiply the fraction with 100
Percentage into a natural number
Step 1: Divide the percentage by 100 and reduce.
Step 2: If the denominator is one then the result is a natural number.
Conclusion: To convert any form of number into percentage we need to convert it into a fraction and then multiply by 100. Similarly, to convert a percentage to any form of a number we need to first divide the percentage by 100 and then convert the resultant fraction to the form of a number we want.
Examples:
1) Convert the following into Percentage:
a) 15 b) 0.6 c) 2:8 d) 9
Solution:
15
x100 = 20%
0.6 = 610
x100 = 60%
2: 8 = 28
x100 = 1004
= 25%
9 = 91
x100 = 900%
correct answer is - 20 %
Step-by-step explanation:
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