Question:
A number which, when increased by 15%, becomes 161. What is the original number?
A number which, when increased by 15%, becomes 161. What is the original number?
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To solve percentage increase problems, convert the percentage increase to a decimal and then solve the equation using basic algebra.
Updated On: Oct 14, 2025
- 135
- 140
- 145
- 130
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The Correct Option is B
Solution and Explanation
Step 1: Let the original number be \( x \).
We are told that when the number is increased by 15%, it becomes 161. This means:
\[
x + 0.15x = 161.
\]
Simplifying this:
\[
1.15x = 161.
\]
Step 2: Solve for \( x \).
Now, divide both sides by 1.15:
\[
x = \frac{161}{1.15} = 140.
\]
Step 3: Conclusion.
Thus, the original number is 140, and the correct answer is (b).
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