A is 25% taller than B. B is what percentage shorter than A

Questions : A is 25% taller than B. B is what percentage shorter than A ?

Answer:  

 We can solve this quickly using a logical approach:

1. Let B's height be 100 units.

2. A is 25% taller than B, so A's height becomes:

   $$100 + 25 = 125 \text{ units}$$

3. Now, we calculate how much shorter B is compared to A:

   $$\frac{\text{Difference in height}}{\text{A's height}} \times 100$$ $$= \frac{125 - 100}{125} \times 100$$ $$= \frac{25}{125} \times 100$$ $$= \frac{1}{5} \times 100$$ $$= 20\%$$

Final Answer:

B is 20% shorter than A.

Alternative way

Here’s a simple logical way to think about it:

1. Suppose B’s height is 100 units (just for easy calculation).
2. A is 25% taller than B, so A’s height becomes 125 units.
3. Now, we compare B’s height with A’s:

   • The difference in height = 125 - 100 = 25 units.

   • To find how much shorter B is, we compare this difference with A’s height:

     $$\text{Fraction} = \frac{25}{125}$$

   • Converting to percentage:

     $$\frac{25}{125} \times 100 = 20\%$$

Final Answer:

B is 20% shorter than A.

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