# An alloy contains \[15\% \] zinc, \[25\% \] brass and rest copper. How much copper is there in 75 kg of that alloy?

A.20 kg

B.30 kg

C.45 kg

D.10 kg

Answer

Verified

279.9k+ 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.

Recently Updated Pages

Define absolute refractive index of a medium

Find out what do the algal bloom and redtides sign class 10 biology CBSE

Prove that the function fleft x right xn is continuous class 12 maths CBSE

Find the values of other five trigonometric functions class 10 maths CBSE

Find the values of other five trigonometric ratios class 10 maths CBSE

Find the values of other five trigonometric functions class 10 maths CBSE

Trending doubts

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference Between Plant Cell and Animal Cell

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

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

What is pollution? How many types of pollution? Define it

Give 10 examples for herbs , shrubs , climbers , creepers

Which planet is known as the red planet aMercury bMars class 6 social science CBSE

Which state has the longest coastline in India A Tamil class 10 social science CBSE

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