A number, when decreased by 1%, gives 2970. The number is:

2025

A number, when decreased by 1%, gives 2970. The number is:

  1. A.

    9000

  2. B.

    3000

  3. C.

    1500

  4. 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).

  1. Let the required number be x.

  2. A 1% decrease means the resulting value is x times (1 minus 1/100), that is, 0.99x.

  3. Set up the equation: 0.99x = 2970.

  4. 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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