Question

5 out of 2250 parts of the earth is sulphur. What is the percentage of sulphur in the earth?
a. $ \dfrac{{11}}{{50}} $
b. $ \dfrac{2}{9} $
c. $ \dfrac{1}{{45}} $
d. $ \dfrac{1}{9} $

Answer 1

Hint: In this question we have to find the percentage of sulphur in the earth. To find the percentage we have a formula and that is defined as the ratio of given amount to the total amount and it is multiplied by 100. By using the formula hence, we obtain the percentage.

Complete step-by-step answer:
From the given data we have 5 out of 2250 parts of the earth is sulphur. This line tells that the earth has divided into 2250 parts and out of the 2250 parts, the 5 parts are covered with the sulphur. Now we have to find the percentage to obtain the percentage we use the formula that is $ \dfrac{x}{n} \times 100 = p $ where $ p $ represents the percentage value , $ x $ represents the selected quantity and $ n $ represents the total quantity. Hence by substituting the values from the data we have
 $ \dfrac{x}{n} \times 100 = p $
Substitute the values
 $ \Rightarrow \dfrac{5}{{2250}} \times 100 = p $
Divide both numerator and denominator by 10 we have
 $ \Rightarrow \dfrac{5}{{225}} \times 10 = p $
Now we will divide both numerator and denominator by 5 we have
 $ \Rightarrow \dfrac{1}{{45}} \times 10 = p $
Again, we will divide the both numerator and denominator by 5 we have
 $ \Rightarrow \dfrac{1}{9} \times 2 = p $
And hence we have $ p = \dfrac{2}{9} $
Therefore $ \dfrac{2}{9} $ percentage of sulphur in the earth.
Hence, we obtained the solution.
So, the correct answer is “Option b”.

Note: Candidate must read the question properly and should write the given data in the form of $ \dfrac{x}{n} $ and we have to multiply by 100. Percentage formula is used to find the amount of quantity in terms of 100. The percentage has symbol and it is represented as %. In this topic the table of multiplication is important to solve the question.