Questions & Answers

Question

Answers

A. 450

B. 600

C. 1350

D. 1800

Answer
Verified

Hint:In this Question we are asked to find the original number.The only thing that we have to do in this question is to convert the given percentage into decimal by replacing % by $\dfrac{{1}}{{100}}$. Consider x be the original number and then multiply with 150% and equate it to 900 .Then after applying basic operations we get the value of x i.e original number.

__Complete step-by-step answer:__

Let the number be X

We have, 150% of X=900

Replacing % by $\dfrac{{1}}{{100}}$ , we get

\[ \Rightarrow \dfrac{{150}}{{100}} \times x = 900\]

\[ \Rightarrow \]\[x = 900 \times \dfrac{{100}}{{150}}\]

\[ \Rightarrow \]\[x = 600\]

\[\]

∴ The correct option is ‘B’.

Note: The most common mistake that students commit in these questions is that they multiple by 100 rather than dividing the given percentage by 100. The percentage is expressing the quantity as the number of parts in 100 parts i.e we have to replace % by $\dfrac{{1}}{{100}}$.

Let the number be X

We have, 150% of X=900

Replacing % by $\dfrac{{1}}{{100}}$ , we get

\[ \Rightarrow \dfrac{{150}}{{100}} \times x = 900\]

\[ \Rightarrow \]\[x = 900 \times \dfrac{{100}}{{150}}\]

\[ \Rightarrow \]\[x = 600\]

\[\]

∴ The correct option is ‘B’.

Note: The most common mistake that students commit in these questions is that they multiple by 100 rather than dividing the given percentage by 100. The percentage is expressing the quantity as the number of parts in 100 parts i.e we have to replace % by $\dfrac{{1}}{{100}}$.