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When 12 is added to a number, it becomes nine-eighth of the original number. What is 12.5% of the original number?
- a)12
- b)13.5
- c)120
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
When 12 is added to a number, it becomes nine-eighth of the original n...
Let the number is x.
Then,
x + 12 = 9/8 x
⇒ 1/8 x = 12
⇒ x = 96
Now 12.5% of x = 96 is
96 x 12.5/100 = 12
Then,
x + 12 = 9/8 x
⇒ 1/8 x = 12
⇒ x = 96
Now 12.5% of x = 96 is
96 x 12.5/100 = 12
Most Upvoted Answer
When 12 is added to a number, it becomes nine-eighth of the original n...
Understanding the problem:
To solve this problem, we need to find the original number. The problem states that when 12 is added to this number, it becomes nine-eighth of the original number.
Solving the problem:
Let's assume the original number is x.
When 12 is added to x, we get x + 12.
According to the problem, x + 12 = 9/8 * x.
Calculating the original number:
Let's solve for x in the equation x + 12 = 9/8 * x.
8(x + 12) = 9x
8x + 96 = 9x
96 = 9x - 8x
96 = x
So, the original number is 96.
Finding 12.5% of the original number:
12.5% of 96 can be calculated as:
(12.5/100) * 96 = 0.125 * 96 = 12
Therefore, 12.5% of the original number (96) is 12, which corresponds to option A.
To solve this problem, we need to find the original number. The problem states that when 12 is added to this number, it becomes nine-eighth of the original number.
Solving the problem:
Let's assume the original number is x.
When 12 is added to x, we get x + 12.
According to the problem, x + 12 = 9/8 * x.
Calculating the original number:
Let's solve for x in the equation x + 12 = 9/8 * x.
8(x + 12) = 9x
8x + 96 = 9x
96 = 9x - 8x
96 = x
So, the original number is 96.
Finding 12.5% of the original number:
12.5% of 96 can be calculated as:
(12.5/100) * 96 = 0.125 * 96 = 12
Therefore, 12.5% of the original number (96) is 12, which corresponds to option A.
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When 12 is added to a number, it becomes nine-eighth of the original number. What is 12.5% of the original number?a)12b)13.5c)120d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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