To solve the problem, let's follow these steps:
1. Find one fifth of 200:
- Calculate [tex]\( \frac{1}{5} \times 200 \)[/tex].
- One fifth of 200 is [tex]\( \frac{200}{5} = 40 \)[/tex].
2. Relate one fifth of 200 to 80% of some number [tex]\( x \)[/tex]:
- We know that 40 is 80% of some number [tex]\( x \)[/tex].
- Mathematically, this can be written as [tex]\( 0.8 \times x = 40 \)[/tex].
3. Solve for [tex]\( x \)[/tex]:
- To find [tex]\( x \)[/tex], divide 40 by 0.8:
[tex]\( x = \frac{40}{0.8} = 50 \)[/tex].
So, 80% of 50 is equal to 40, which is one fifth of 200.
Therefore, the answer is (A) 50.
