if 30% of 40% of x=60% of 12.5 % of 96. then x is `"_____"`

Answer

To solve the equation \( 30\% \) of \( 40\% \) of \( x = 60\% \) of \( 12.5\% \) of \( 96 \), we will follow these steps:

### Step 1: Convert percentages to decimals
First, we convert the percentages into decimal form:
- \( 30\% = \frac{30}{100} = 0.3 \)
- \( 40\% = \frac{40}{100} = 0.4 \)
- \( 60\% = \frac{60}{100} = 0.6 \)
- \( 12.5\% = \frac{12.5}{100} = 0.125 \)

### Step 2: Write the equation in decimal form
Now we can rewrite the equation:
\[ 0.3 \times 0.4 \times x = 0.6 \times 0.125 \times 96 \]

### Step 3: Calculate the right side of the equation
Next, we calculate the right side:
\[ 0.6 \times 0.125 = 0.075 \]
Then, multiply by \( 96 \):
\[ 0.075 \times 96 = 7.2 \]

### Step 4: Substitute back into the equation
Now we substitute back into the equation:
\[ 0.3 \times 0.4 \times x = 7.2 \]

### Step 5: Calculate \( 0.3 \times 0.4 \)
Calculate the left side:
\[ 0.3 \times 0.4 = 0.12 \]
So the equation now is:
\[ 0.12x = 7.2 \]

### Step 6: Solve for \( x \)
To find \( x \), divide both sides by \( 0.12 \):
\[ x = \frac{7.2}{0.12} \]

### Step 7: Perform the division
Now we perform the division:
\[ x = 60 \]

### Final Answer
Thus, the value of \( x \) is \( 60 \).

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