If 60% of a number is added to 60, then the result is the number itself. The…
2025
If 60% of a number is added to 60, then the result is the number itself. The number is:-
Answer: D. 150 — Concept: A percentage-relationship word problem is translated into a linear equation in the unknown quantity by writing "a% of a number" as (a/100) times the…
- A.
160
- B.
180
- C.
120
- D.
150
Attempted by 131 students.
Show answer & explanation
Correct answer: D
Concept: A percentage-relationship word problem is translated into a linear equation in the unknown quantity by writing "a% of a number" as (a/100) times the number, and then the resulting equation is solved algebraically for that unknown.
Let the required number be x.
60% of the number is (60/100) × x = 0.6x.
This amount, added to 60, equals the number itself, so 0.6x + 60 = x.
Collecting the x terms on one side: 60 = x − 0.6x = 0.4x.
Solving for x: x = 60 / 0.4 = 150.
Cross-check: 60% of 150 is 90, and 90 + 60 = 150, which is the number itself — confirming that the number is 150.