Answer
Verified
377.4k+ views
Hint: We need to assume the percentage value of 45 out of 450. We multiply 450 with the percent value to find the value of 45. We find the mathematical form and solve the equation to find the value of the assumed variable.
Complete step-by-step answer:
The amount of VAT was Rs. 45 for the list price of a pair of shoes of Rs. 450.
We need to find the rate which can be expressed as percentage value.
We need to find the percentage value of 45 out of 450.
We assume that x% of 450 is 45.
The fraction is the respective ratio of two numbers. We find the value of the numerator with respect to the denominator of the fraction.
In case of percentage, we need to convert the denominator of the fraction into 100.
The numerator of the fraction with denominator being 100 will be the solution of the problem.
Therefore, x% can be written as $ \dfrac{x}{100} $ .
Now x percent of 450 is 45. Forming the mathematical expression, we get $ 450\times \dfrac{x}{100}=45 $ .
We now solve the equation to get
$ \begin{align}
& 450\times \dfrac{x}{100}=45 \\
& \Rightarrow x=45\times \dfrac{100}{450} \\
\end{align} $
We complete the multiplication and get $ x=45\times \dfrac{100}{450}=\dfrac{100}{10}=10 $ .
The rate of VAT is 10%.
So, the correct answer is “10%.”.
Note: The value of the fraction is actually the unitary value of x out of 100. Therefore, in percentage value we got 10 as the percentage. Percentage deals with the ratio out of 100. The ratio value for both fraction and percentage is the same.
Complete step-by-step answer:
The amount of VAT was Rs. 45 for the list price of a pair of shoes of Rs. 450.
We need to find the rate which can be expressed as percentage value.
We need to find the percentage value of 45 out of 450.
We assume that x% of 450 is 45.
The fraction is the respective ratio of two numbers. We find the value of the numerator with respect to the denominator of the fraction.
In case of percentage, we need to convert the denominator of the fraction into 100.
The numerator of the fraction with denominator being 100 will be the solution of the problem.
Therefore, x% can be written as $ \dfrac{x}{100} $ .
Now x percent of 450 is 45. Forming the mathematical expression, we get $ 450\times \dfrac{x}{100}=45 $ .
We now solve the equation to get
$ \begin{align}
& 450\times \dfrac{x}{100}=45 \\
& \Rightarrow x=45\times \dfrac{100}{450} \\
\end{align} $
We complete the multiplication and get $ x=45\times \dfrac{100}{450}=\dfrac{100}{10}=10 $ .
The rate of VAT is 10%.
So, the correct answer is “10%.”.
Note: The value of the fraction is actually the unitary value of x out of 100. Therefore, in percentage value we got 10 as the percentage. Percentage deals with the ratio out of 100. The ratio value for both fraction and percentage is the same.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE
Which are the Top 10 Largest Countries of the World?
How do you graph the function fx 4x class 9 maths CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Why is there a time difference of about 5 hours between class 10 social science CBSE