What is the value when 44 is increased by 12.5%.
Last updated date: 30th Mar 2023
•
Total views: 310.2k
•
Views today: 7.87k
Answer
310.2k+ views
Hint: Try to calculate the increment and use basic arithmetic.
Percent means parts by 100. It is the ratio in which the denominator is $100$.
So $x\% $ is given by $\dfrac{x}{{100}}$.
In the above problem we need to increase the number by $12.5\% $.
Increment of numbers means increasing its value or adding another positive real number to its value.
Hence, we need to find the number or the value by which $44$ is to be increased.
Since in the problem, the increment percentage is given, first we need to find the given percent of $44$.
Using the above-mentioned rule, $12.5\% = \dfrac{{12.5}}{{100}}$.
Therefore, $12.5\% $of $44$is given by
$\dfrac{{12.5}}{{100}} \times 44 = \dfrac{{550}}{{100}} = 5.5$
Increasing $44$by $5.5 \Rightarrow 44 + 5.5 = 49.5$
Hence Value of $44$ is increased by $12.5\% $ is equal to $49.5$.
Or
The above-mentioned procedure could be formed into a formula as
Value$ = Original\,Number\left( {1 + \dfrac{x}{{100}}} \right)$ ,where $x$ is the percent to be increased.
In this problem, $Original{\text{ }}Number = 44$ and $x = 12.5$
Using in the above-mentioned formula, we get,
Value$ = 44\left( {1 + \dfrac{{12.5}}{{100}}} \right) = 44\left( {1 + \dfrac{1}{8}} \right) = 44 \times \dfrac{9}{8} = 49.5$.
Hence the answer is $49.5$.
Note: Percent always means out of hundred. Increment or decrement can be done using the same method as explained above with slight modification for decrement.
Percent means parts by 100. It is the ratio in which the denominator is $100$.
So $x\% $ is given by $\dfrac{x}{{100}}$.
In the above problem we need to increase the number by $12.5\% $.
Increment of numbers means increasing its value or adding another positive real number to its value.
Hence, we need to find the number or the value by which $44$ is to be increased.
Since in the problem, the increment percentage is given, first we need to find the given percent of $44$.
Using the above-mentioned rule, $12.5\% = \dfrac{{12.5}}{{100}}$.
Therefore, $12.5\% $of $44$is given by
$\dfrac{{12.5}}{{100}} \times 44 = \dfrac{{550}}{{100}} = 5.5$
Increasing $44$by $5.5 \Rightarrow 44 + 5.5 = 49.5$
Hence Value of $44$ is increased by $12.5\% $ is equal to $49.5$.
Or
The above-mentioned procedure could be formed into a formula as
Value$ = Original\,Number\left( {1 + \dfrac{x}{{100}}} \right)$ ,where $x$ is the percent to be increased.
In this problem, $Original{\text{ }}Number = 44$ and $x = 12.5$
Using in the above-mentioned formula, we get,
Value$ = 44\left( {1 + \dfrac{{12.5}}{{100}}} \right) = 44\left( {1 + \dfrac{1}{8}} \right) = 44 \times \dfrac{9}{8} = 49.5$.
Hence the answer is $49.5$.
Note: Percent always means out of hundred. Increment or decrement can be done using the same method as explained above with slight modification for decrement.
Recently Updated Pages
If a spring has a period T and is cut into the n equal class 11 physics CBSE

A planet moves around the sun in nearly circular orbit class 11 physics CBSE

In any triangle AB2 BC4 CA3 and D is the midpoint of class 11 maths JEE_Main

In a Delta ABC 2asin dfracAB+C2 is equal to IIT Screening class 11 maths JEE_Main

If in aDelta ABCangle A 45circ angle C 60circ then class 11 maths JEE_Main

If in a triangle rmABC side a sqrt 3 + 1rmcm and angle class 11 maths JEE_Main

Trending doubts
Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Write a letter to the principal requesting him to grant class 10 english CBSE

List out three methods of soil conservation

Epipetalous and syngenesious stamens occur in aSolanaceae class 11 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

A Short Paragraph on our Country India
