A number, when decreased by 1%, gives 2970. The number is:
2025
A number, when decreased by 1%, gives 2970. The number is:
- A.
9000
- B.
3000
- C.
1500
- D.
6000
Attempted by 3 students.
Show answer & explanation
Correct answer: B
Concept: If a number is decreased by r%, the resulting value equals the number multiplied by (1 minus r/100); reversing this, the original number equals the resulting value divided by (1 minus r/100).
Let the required number be x.
A 1% decrease means the resulting value is x times (1 minus 1/100), that is, 0.99x.
Set up the equation: 0.99x = 2970.
Solve for x: x = 2970 divided by 0.99 = 3000.
Cross-check: 1% of 3000 is 30, and 3000 minus 30 = 2970, which matches the given value, confirming x = 3000.
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