A percentage change is a way to express a change in a variable. It represents the relative change between the old value and the new one.
The formula used to calculate the percentage change is
Percentage change = `((V2 - V1) / (V1)) * 100` .
V1- represents the old value
V2 - the new one. Source: - Wikipedia
some percentages as fractions:
a. `5%=5/100=1/20` .
b. `10%=10/100=1/10` .
c. `25%=25/100=1/4` .
d. `75%=75/100=3/4` .
e. `125%=125/100=5/4` .
f. `175%=175/100=7/4` .
g. `(3 1/8)%=25/800=1/32` .
h. ` (6 1/4)%=25/400=1/16` .
i. `(8 1/3)%=25/300=1/12` .
j. `(16 2/3)%=50/300=1/6` .
k. `(66 2/3)%=200/300=2/3` .
l. `(87 1/2)%=175/200=7/8` .
Calculation of Percentage:
Calculation of percentage:
The percent symbol can be treated as being equivalent to the pure number constant `1/100=0.01,` while performing calculations with percentage.
If a number is first changed by`P% ` and then changed by `Q%` , then the net change in the number `=[P+Q+((PQ)/100)]` . Remember that any decreasing value in the formula should be taken as ‘negative’ and increasing value should be taken as ‘positive’.
Similarly, if A’s salary is `P%` less than B’s salary, then the percentage by which B’s salary is more than A’s salary is`(100P)/(100-P)` .
If expenditure also, then percentage change in expenditure or revenue`=[P+Q+((PQ)/100)]` . Where ‘P’ is the percentage change in price and ‘Q’ is the percentage change in consumption.
Percentage change calculator - Example problems:
Percentage change calculator - Problem 1:-
Ram scored 86 runs in the cricket match on Monday. On Friday he scored 95 runs. Calculate the Percentage of change?
Solution:-
Given
V2 = new value = 95 runs.
V1 = old value = 86 runs.
Percentage of change = ?.
The formula used to calculate the percentage change is
Percentage change = `((V2 - V1) / (V1)) * 100` .
By plugging in the given values in to the formula we get
Percentage change =` (95 - 86) / (86) * 100` .
The difference between 95 and 86 is 9.
By plugging in it to the formula we get the answer as
=`9 / 86` * 100.
The fraction 9/ 86 gives us 0.1046.
=0.1046 * 100
=10.46
The percentage of change is 10.46.
Percentage change calculator - Problem 2:-
Mary bought 40 Compact disks last month. He bought only 30 this year. Calculate is the percent of change.
Solution:-
Given :-
Here,
V2 = new value = 35 Compact disks
V1 = old value = 40 Compact disks
Percentage of change =?
The formula used to calculate the percentage change is
Percentage change = `((V2 - V1) / (V1)) * 100` .
V2 = new value.
V1 = old value
By plugging in the given values in to the formula we get
Percentage change = `(35 -40) / (40)` * 100.
The difference between 35 and 40 is 5
By plugging in the given values in to the formula we get,
33333
= `5 / 40` * 100
The fraction 8/ 40 gives us 1/5.
`= 1/ 5 ` * 100.
= 20%
The percentage of change is 20 %
Percentage change calculator - Practice Problem:
Ex1 : John scored 16 runs in the cricket match on Monday. On Friday he scored 32 runs. Calculate the Percentage of change?
Answer:-
The percentage of change is 50%
Ex2 : Calculate `40%` of `625` .
Sol: `40% ` of a number `=2/5` of the number `=2/5` of `625=(2/5)(625)=250` .
The formula used to calculate the percentage change is
Percentage change = `((V2 - V1) / (V1)) * 100` .
V1- represents the old value
V2 - the new one. Source: - Wikipedia
some percentages as fractions:
a. `5%=5/100=1/20` .
b. `10%=10/100=1/10` .
c. `25%=25/100=1/4` .
d. `75%=75/100=3/4` .
e. `125%=125/100=5/4` .
f. `175%=175/100=7/4` .
g. `(3 1/8)%=25/800=1/32` .
h. ` (6 1/4)%=25/400=1/16` .
i. `(8 1/3)%=25/300=1/12` .
j. `(16 2/3)%=50/300=1/6` .
k. `(66 2/3)%=200/300=2/3` .
l. `(87 1/2)%=175/200=7/8` .
Calculation of Percentage:
Calculation of percentage:
The percent symbol can be treated as being equivalent to the pure number constant `1/100=0.01,` while performing calculations with percentage.
If a number is first changed by`P% ` and then changed by `Q%` , then the net change in the number `=[P+Q+((PQ)/100)]` . Remember that any decreasing value in the formula should be taken as ‘negative’ and increasing value should be taken as ‘positive’.
Similarly, if A’s salary is `P%` less than B’s salary, then the percentage by which B’s salary is more than A’s salary is`(100P)/(100-P)` .
If expenditure also, then percentage change in expenditure or revenue`=[P+Q+((PQ)/100)]` . Where ‘P’ is the percentage change in price and ‘Q’ is the percentage change in consumption.
Percentage change calculator - Example problems:
Percentage change calculator - Problem 1:-
Ram scored 86 runs in the cricket match on Monday. On Friday he scored 95 runs. Calculate the Percentage of change?
Solution:-
Given
V2 = new value = 95 runs.
V1 = old value = 86 runs.
Percentage of change = ?.
The formula used to calculate the percentage change is
Percentage change = `((V2 - V1) / (V1)) * 100` .
By plugging in the given values in to the formula we get
Percentage change =` (95 - 86) / (86) * 100` .
The difference between 95 and 86 is 9.
By plugging in it to the formula we get the answer as
=`9 / 86` * 100.
The fraction 9/ 86 gives us 0.1046.
=0.1046 * 100
=10.46
The percentage of change is 10.46.
Percentage change calculator - Problem 2:-
Mary bought 40 Compact disks last month. He bought only 30 this year. Calculate is the percent of change.
Solution:-
Given :-
Here,
V2 = new value = 35 Compact disks
V1 = old value = 40 Compact disks
Percentage of change =?
The formula used to calculate the percentage change is
Percentage change = `((V2 - V1) / (V1)) * 100` .
V2 = new value.
V1 = old value
By plugging in the given values in to the formula we get
Percentage change = `(35 -40) / (40)` * 100.
The difference between 35 and 40 is 5
By plugging in the given values in to the formula we get,
33333
= `5 / 40` * 100
The fraction 8/ 40 gives us 1/5.
`= 1/ 5 ` * 100.
= 20%
The percentage of change is 20 %
Percentage change calculator - Practice Problem:
Ex1 : John scored 16 runs in the cricket match on Monday. On Friday he scored 32 runs. Calculate the Percentage of change?
Answer:-
The percentage of change is 50%
Ex2 : Calculate `40%` of `625` .
Sol: `40% ` of a number `=2/5` of the number `=2/5` of `625=(2/5)(625)=250` .
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