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If \[x\%\] of 250 + \[25\%\] of 68 = 67, then the value of x is?

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Last updated date: 22nd Jul 2024
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Answer
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Hint: In this problem, we have to find the value of x from the given expression. Here we can first write the given expression in mathematical form, as we know that percentage means per hundred, so we can divide the given percentage value by 100 and we can multiply the given number and percentage as we have the term ‘of’ which means product. We can then simplify the steps to find the value of x.

Complete step by step answer:
Here we have to find the value of x form the given expression,
\[x\%\] of 250 + \[25\%\] of 68 = 67
 We can now write the above expression in mathematical form.
As we know that percentage means per hundred, so we can divide the given percentage value by 100.
We can multiply the given number and percentage as we have the term ‘of’ which means product.
\[\Rightarrow \dfrac{x}{100}\times 250+\dfrac{25}{100}\times 68=67\]
We can now simplify the above step.
\[\Rightarrow \dfrac{250x}{100}+\dfrac{25\times 68}{100}=67\]
Here we have similar denominators so we can add the numerator by taking similar denominators, we get
\[\Rightarrow \dfrac{250x+1700}{100}=67\]
We can now multiply 100 on both sides, we get
\[\Rightarrow 250x+1700=6700\]
We can now simplify the above step, we get
\[\begin{align}
  & \Rightarrow 250x=6700-1700 \\
 & \Rightarrow 250x=5000 \\
 & \Rightarrow x=\dfrac{5000}{250}=20 \\
\end{align}\]
Therefore, the value of x is 20.

Note: We should always remember that percentage means per hundred, so we can divide the given percentage value by 100 and we can multiply the given number and percentage as we have the term ‘of’ which means product. We should also concentrate while simplifying each step.