`42% "of" 12% "of" (1)/(4)th "of" 1500=?`

Options

A. 17.8
B. 17.9
C. 18.8
D. 18.9

Explanation

To solve the question `42% of 12% of (1/4)th of 1500`, we will break it down step by step.

### Step 1: Convert percentages to fractions
First, we convert the percentages into fractions:
- 42% = 42/100
- 12% = 12/100

### Step 2: Calculate (1/4)th of 1500
Next, we calculate (1/4)th of 1500:
\[ \frac{1}{4} \times 1500 = \frac{1500}{4} = 375 \]

### Step 3: Calculate 12% of 375
Now, we find 12% of 375:
\[ 12\% \text{ of } 375 = \frac{12}{100} \times 375 = \frac{12 \times 375}{100} = \frac{4500}{100} = 45 \]

### Step 4: Calculate 42% of 45
Next, we calculate 42% of 45:
\[ 42\% \text{ of } 45 = \frac{42}{100} \times 45 = \frac{42 \times 45}{100} = \frac{1890}{100} = 18.9 \]

### Final Answer
Thus, the final answer is:
\[ \boxed{18.9} \]

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