If \(15%\) of a number is added to the number itself, the result becomes \(460\). The original number is:
Show Hint
- \(380\)
- \(400\)
- \(420\)
- \(440\)
The Correct Option is B
Solution and Explanation
Step 1: Let the original number be: \[ x \] According to the question: \[ x+15%x=460 \] \[ x+0.15x=460 \] \[ 1.15x=460 \]
Step 2: \[ x=\frac{460}{1.15} \] \[ x=400 \] Therefore, \[ \boxed{400} \]
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