Question 66

Logical Reasoning Percentage Easy

A number which, when increased by 15% becomes 161. What is the original number?

(A) 145
(B) 135
(C) 130
(D) 140
✓ Correct Answer: Option D Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

\[ \textbf{Step 1: Let the original number be } x. \] \[ \textbf{Step 2: After increasing by 15%, the number becomes: } x + 0.15x = 1.15x. \] \[ \textbf{Step 3: Given that } 1.15x = 161. \] \[ \textbf{Step 4: Solve for } x: \quad x = \frac{161}{1.15}. \] \[ x = 140. \] \[ \textbf{Final Answer: } \boxed{140} \]

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