If 5 is added to a number, then the number becomes 112.5% of itself. What is…
2021
If 5 is added to a number, then the number becomes 112.5% of itself. What is the number?
- A.
40
- B.
50
- C.
45
- D.
35
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Show answer & explanation
Correct answer: A
Solution:
Let the number be x.
Adding 5 gives x + 5. 112.5% of x equals 1.125x (112.5% = 9/8).
Set up the equation: x + 5 = (9/8)x. Subtract x from both sides: 5 = (1/8)x.
Solve for x: x = 5 ÷ (1/8) = 5 × 8 = 40.
Check: 112.5% of 40 = 1.125 × 40 = 45, which equals 40 + 5. Therefore the number is 40.