16% of 50% is what percent of 20% of 40%1) 1%2) 100%3) 59%4) 64%.5) 75%
The Correct Answer and Explanation is:
We are given the expression:
16% of 50% is what percent of 20% of 40%?
Step 1: Convert Percentages to Decimals
- 16% = 0.16
- 50% = 0.50
- 20% = 0.20
- 40% = 0.40
Step 2: Calculate the Two Expressions
Part A: 16% of 50%
This means we multiply: 0.16×0.50=0.080.16 \times 0.50 = 0.080.16×0.50=0.08
Part B: 20% of 40%
0.20×0.40=0.080.20 \times 0.40 = 0.080.20×0.40=0.08
Step 3: Compare the Two Values
We now compare 0.08 (from Part A) to 0.08 (from Part B). The question asks:
“16% of 50% is what percent of 20% of 40%?”
This becomes: 0.080.08×100=1×100=100%\frac{0.08}{0.08} \times 100 = 1 \times 100 = 100\%0.080.08×100=1×100=100%
✅ Final Answer: 100%
Correct option: (2) 100%
Explanation
To solve this problem, we must understand how percentages work. A percentage represents a part out of 100. So when we say “16% of 50%”, we are finding 16 parts out of 100 of 50 parts out of 100.
In mathematics, the word “of” translates to multiplication. So, “16% of 50%” is calculated by multiplying the decimal equivalents:
16% becomes 0.16 and 50% becomes 0.50. Multiply them: 0.16×0.50=0.080.16 \times 0.50 = 0.080.16×0.50=0.08
We do the same for the second part: “20% of 40%”. Convert to decimals:
20% becomes 0.20 and 40% becomes 0.40. Multiply: 0.20×0.40=0.080.20 \times 0.40 = 0.080.20×0.40=0.08
Now, the question is: “0.08 is what percent of 0.08?” This becomes a ratio: 0.080.08=1\frac{0.08}{0.08} = 10.080.08=1
To convert this ratio to a percentage, multiply by 100: 1×100=100%1 \times 100 = 100\%1×100=100%
So, 16% of 50% is exactly 100% of 20% of 40%. This means the two expressions are equal.
Thus, the correct answer is option (2) 100%.
