Question

If 25% of a number added to itself is 75, the original number is

Answer 1

Let the original no. be x

Then, x+25x/100=75

=> x+x/4=75

=> 5x/4=75

=> x=75*4/5

=> x=60 Ans.

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Answer 2

To find : original number .

Given : $25\ \%$ of a number added to itself is $75$ .

Solution:  

• Let $x$ be the number .
• As per given condition we know that $25\ \%$ of a number added to itself is $75$ .
• Therefore , according to question we write , $25\ \% \ of \ x \ + x =75$
• Using BODMAS rule we solve above equation .

• $25\ \% \ of \ x \ + x =75$  

       $\Rightarrow\frac{25}{100} \times x + x = 75 \\\\\Rightarrow \frac{25x}{100} + x = 75 \\ \\\Rightarrow \frac{25x + 100x }{100} = 75 \\\\\Rightarrow 125x = 7500 \\\\\Rightarrow x =\frac{7500}{125} \\\\\Rightarrow x =60$

Hence , original number is $60$ .