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20% of A is B, then B% of 20 is same as what?4% of A10% of A20% of ANone of these

Question

20% of A is B, then B% of 20 is same as what?

  • 4% of A
  • 10% of A
  • 20% of A
  • None of these
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Solution

1. Break Down the Problem

We start by defining the relationship between A and B based on the given information. We know that:

  • B=0.2A B = 0.2A We need to find out what B% of 20 is equal to in relation to A.

2. Relevant Concepts

From the above relation, we need to express "B% of 20" in terms of A. We already have:

  • B=0.2A B = 0.2A Thus, B% of 20 can be expressed as: B% of 20=(B100)×20=(0.2A100)×20 \text{B\% of 20} = \left(\frac{B}{100}\right) \times 20 = \left(\frac{0.2A}{100}\right) \times 20

3. Analysis and Detail

Now, we can simplify the expression obtained: B%of20=(0.2A100)×20=(0.2×20100)A=(4100)A=0.04A B\% \, \text{of} \, 20 = \left(\frac{0.2A}{100}\right) \times 20 = \left(\frac{0.2 \times 20}{100}\right) A = \left(\frac{4}{100}\right) A = 0.04A

4. Verify and Summarize

We have derived that:

  • B% of 20 is equal to 0.04A 0.04A , which is the same as 4% of A.

Final Answer

B% of 20 is the same as 4% of A.

This problem has been solved

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