Question

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Q.15. 75 % of a number when added to 75 is equal to the number. The number is :

Answer 1

Dear student,

$$\begin{gathered} Letthenumberbe\text{'}x\text{'} \\ Acc.toquestion, \\ 75\%ofx+75=x \\ \Rightarrow \frac{75}{100}\times x+75=x \\ \Rightarrow \frac{3x}{4}+75=x \\ \Rightarrow \frac{3x}{4}-x=-75 \\ \Rightarrow \frac{3x-4x}{4}=-75 \\ \Rightarrow \frac{-x}{4}=-75 \\ \Rightarrow x=75\times 4 \\ \Rightarrow \boxed{x=300} \\ thustherequirednumberis300 \end{gathered}$$

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