# Three percent of $ 4200 $ is equal to $ 6 $ percent of what number?

A. $ 8400 $

B. $ 2100 $

C. $ 1260 $

D. $ 252 $

E. $ 126 $

Answer

Verified

280.2k+ views

**Hint**: Percent: Percent or percentage is used in mathematics as the number or ratio which is expressed as a fraction of a hundredth. And this is followed by the sign ‘%’. Percentage has no dimension. Hence it is called dimensionless. Every percentage variable has three possible unknown variables: percentage, part, base.

To solve this we should apply the basics of percentage. First find the value of the given value of the percentage given then we take a variable. Calculate the value of the variable as per the given condition and choose the correct option as per asked in question.

**Complete step by step solution:**

Given,

The number is $ 4200 $

According to the question

$ 3\% \,of\,4200\,is\, $

Now solve

$ = \dfrac{3}{{100}} \times 4200 $

Simplify

$ = 3 \times 42 $

$ = 126 $

It is equal to the $ 6\% $ of some number

$ 6\% \,of\,x\,is\,126 $

$ \Rightarrow \dfrac{6}{{100}} \times x = 126 $

Simplify

$ \Rightarrow 6x = 126 \times 100 $

$ \Rightarrow x = \dfrac{{126 \times 100}}{6} $

$ \Rightarrow x = 2100 $

So the answer is (B) $ 2100 $ .

**So, the correct answer is “Option B”.**

**Note**: Percentage is widely used in profit and loss. It is also used to show statistics data to increase or decrease in data by how much percentage. The percentage function takes the form z is equal to the x percent of number y. Taking a percent can be viewed as the same operation as multiplication by a fraction.

We can get this answer by using trial and error method for which we have to separately calculate its given percentage as per maintained in the question after that we can also cross check our given answer as calculated by the above method.

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

Which of the following Chief Justice of India has acted class 10 social science CBSE

Green glands are excretory organs of A Crustaceans class 11 biology CBSE

What if photosynthesis does not occur in plants class 11 biology CBSE

What is 1 divided by 0 class 8 maths CBSE

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

Difference Between Plant Cell and Animal Cell

10 slogans on organ donation class 8 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

What is the past tense of read class 10 english CBSE