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A is 20% of B. Ratio of A:B=?...

A is `20%` of B.
Ratio of `A:B=?`

A

A) 1:5

B

B) 2:3

C

C)3:4

D

D) 4:5

Text Solution

AI Generated Solution

The correct Answer is:
To find the ratio of A to B given that A is 20% of B, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the relationship**: We know that A is 20% of B. This can be mathematically expressed as: \[ A = 0.20 \times B \] 2. **Express B in terms of A**: To find the ratio A:B, we can express B in terms of A. Rearranging the equation gives: \[ B = \frac{A}{0.20} \] 3. **Simplify the expression**: Since 0.20 is the same as \(\frac{1}{5}\), we can rewrite the equation: \[ B = A \times 5 \] 4. **Set up the ratio**: Now we can express the ratio A:B as follows: \[ \frac{A}{B} = \frac{A}{5A} = \frac{1}{5} \] 5. **Write the ratio**: Therefore, the ratio of A to B is: \[ A:B = 1:5 \] ### Final Answer: The ratio of A to B is \(1:5\). ---
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