2% of 50% of a number is what percentage of that number?

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RRB NTPC Graduate Level CBT-I Official Paper (Held On: 06 Jun, 2025 Shift 2)
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  1. 1%
  2. 0.1%
  3. 52%
  4. 100%

Answer (Detailed Solution Below)

Option 1 : 1%
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Detailed Solution

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Given:

2% of 50% of a number is what percentage of that number?

Formula used:

If x% of y% of a number is taken, the result can be written as:

(x/100) × (y/100) × Number = Result

To find the percentage of the number, use:

(Result / Number) × 100

Calculation:

Let the number be N.

⇒ 2% of 50% of N = (2/100) × (50/100) × N

⇒ = (2 × 50) / (100 × 100) × N

⇒ = (100 / 10000) × N

⇒ = (1 / 100) × N

Now, to find what percentage this is of N:

⇒ ((1 / 100) × N / N) × 100

⇒ (1 / 100) × 100

⇒ = 1 %

∴ The correct answer is option (1).

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