Find the number of which when multiplied by `(0.16xx0.025)/(0.4xx0.05)` yields the product 20 ?

Options

A. 25
B. 100
C. 80
D. 200

Answer

To solve the problem, we need to find the number \( y \) such that when it is multiplied by \( \frac{0.16 \times 0.025}{0.4 \times 0.05} \), the result is 20.

### Step-by-Step Solution:

1. **Calculate the numerator**:
\[ 0.16 \times 0.025 \]
To do this, we can multiply the numbers directly:
\[ 0.16 \times 0.025 = 0.004 \]

2. **Calculate the denominator**:
\[ 0.4 \times 0.05 \]
Similarly, we multiply:
\[ 0.4 \times 0.05 = 0.02 \]

3. **Set up the fraction**:
Now we can set up the fraction:
\[ \frac{0.004}{0.02} \]

4. **Simplify the fraction**:
To simplify \( \frac{0.004}{0.02} \), we can convert both decimals to fractions:
\[ \frac{0.004}{0.02} = \frac{4}{1000} \div \frac{2}{100} = \frac{4}{1000} \times \frac{100}{2} = \frac{4 \times 100}{1000 \times 2} = \frac{400}{2000} = \frac{1}{5} \]

5. **Set up the equation**:
Now we have:
\[ y \times \frac{1}{5} = 20 \]

6. **Solve for \( y \)**:
To find \( y \), we multiply both sides by 5:
\[ y = 20 \times 5 = 100 \]

### Final Answer:
The number \( y \) is \( 100 \).