Answer
Verified
377.4k+ views
Hint: Here in this question, we have to find how much copper present in 75 kg of alloy. To find this first we have find the percent of copper present in alloy by subtracting the percent of zinc and brass from \[100\% \] and convert the resultant percentage term into fraction form and multiply the fraction with \[75\] using the arithmetic operation we get the amount of copper present in alloy.
Complete step-by-step answer:
Consider the data in given question
An alloy contains
Zinc: \[15\% \]
Brass: \[25\% \]
Now find the percent of copper present in alloy by subtracting the percent of zinc and brass present in \[100\% \] of alloy i.e.,
\[ \Rightarrow 100\% - 15\% - 25\% \]
On simplification, we get
\[ \Rightarrow 60\% \]
\[\therefore \] \[60\% \] of copper present in alloy.
Now, find the amount of copper present in 75 kg of alloy
Simply, we need to calculate the number \[60\% \] of \[75kg\] for this.
Firstly, we have to write the percentage term i.e., \[60\% \] into the fraction.
Remember that "per" means "divided by", and "cent" means 100, so "percent" means "divided by 100" or "out of 100."
Therefore \[60\% \] can be written as:
\[ \Rightarrow \dfrac{{60}}{{100}}\]
When dealing with percent’s the word "of" means "times" or "to multiply".
Multiply the total weight of alloy i.e., \[75kg\] for the above fraction we have
\[ \Rightarrow \dfrac{{60}}{{100}} \times 75\]
\[ \Rightarrow 0.6 \times 75\]
On simplification, we get
\[ \Rightarrow 45\]
Therefore, 45 kg of copper present in 75 kg of alloy.
Hence, option (C) is correct.
So, the correct answer is “Option C”.
Note: Here the question is related to the percentage. By using the specific methods and rules we can convert the number. As we know that the percentage term is written as \[x\% = \dfrac{x}{{100}}\] , here, marked \[x\] as the total value. Using the simple arithmetic operation i.e., multiplication and division to get the required solution.
Complete step-by-step answer:
Consider the data in given question
An alloy contains
Zinc: \[15\% \]
Brass: \[25\% \]
Now find the percent of copper present in alloy by subtracting the percent of zinc and brass present in \[100\% \] of alloy i.e.,
\[ \Rightarrow 100\% - 15\% - 25\% \]
On simplification, we get
\[ \Rightarrow 60\% \]
\[\therefore \] \[60\% \] of copper present in alloy.
Now, find the amount of copper present in 75 kg of alloy
Simply, we need to calculate the number \[60\% \] of \[75kg\] for this.
Firstly, we have to write the percentage term i.e., \[60\% \] into the fraction.
Remember that "per" means "divided by", and "cent" means 100, so "percent" means "divided by 100" or "out of 100."
Therefore \[60\% \] can be written as:
\[ \Rightarrow \dfrac{{60}}{{100}}\]
When dealing with percent’s the word "of" means "times" or "to multiply".
Multiply the total weight of alloy i.e., \[75kg\] for the above fraction we have
\[ \Rightarrow \dfrac{{60}}{{100}} \times 75\]
\[ \Rightarrow 0.6 \times 75\]
On simplification, we get
\[ \Rightarrow 45\]
Therefore, 45 kg of copper present in 75 kg of alloy.
Hence, option (C) is correct.
So, the correct answer is “Option C”.
Note: Here the question is related to the percentage. By using the specific methods and rules we can convert the number. As we know that the percentage term is written as \[x\% = \dfrac{x}{{100}}\] , here, marked \[x\] as the total value. Using the simple arithmetic operation i.e., multiplication and division to get the required solution.
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
Which are the Top 10 Largest Countries of the World?
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
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Change the following sentences into negative and interrogative class 10 english CBSE
How do you graph the function fx 4x class 9 maths CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE