If a number is increased by 15% and the result is 115, what is the original numb

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Question: If a number is increased by 15% and the result is 115, what is the original number?

Options:

Correct Answer: 100

Solution:

Let the original number be x. Then, x + 0.15x = 115, or 1.15x = 115. Thus, x = 115 / 1.15 = 100.

If a number is increased by 15% and the result is 115, what is the original number?

If a number is increased by 15% and the result is 115, what is the original number?

Step 1: Let the original number be represented as 'x'.
Step 2: When the number is increased by 15%, it becomes 'x + 0.15x'.
Step 3: Combine 'x' and '0.15x' to get '1.15x'.
Step 4: Set the equation '1.15x = 115' because the result after the increase is 115.
Step 5: To find 'x', divide both sides of the equation by 1.15: 'x = 115 / 1.15'.
Step 6: Calculate '115 / 1.15' to find the value of 'x'.
Step 7: The result is 'x = 100', which is the original number.

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