What value will come in place of question mark (?) in the questions given below?
23800 of `3/5 of 8/17 of 4/7= ?`

Options

A. 3660
B. 3840
C. 3950
D. 3870

Answer

To solve the problem, we need to find the value of the expression given:

**23800 of (3/5) of (8/17) of (4/7)**.

This can be interpreted as multiplying 23800 by the fractions in sequence. Let's break it down step by step.

### Step 1: Understand the Expression
The expression can be rewritten as:
\[ 23800 \times \frac{3}{5} \times \frac{8}{17} \times \frac{4}{7} \]

### Step 2: Multiply the Fractions
First, we will multiply the fractions together:
\[ \frac{3}{5} \times \frac{8}{17} \times \frac{4}{7} \]

Calculating this step by step:
1. Multiply the numerators:
\[ 3 \times 8 \times 4 = 96 \]
2. Multiply the denominators:
\[ 5 \times 17 \times 7 = 595 \]
So, we have:
\[ \frac{3}{5} \times \frac{8}{17} \times \frac{4}{7} = \frac{96}{595} \]

### Step 3: Multiply by 23800
Now, we will multiply 23800 by the result from the previous step:
\[ 23800 \times \frac{96}{595} \]

### Step 4: Perform the Multiplication
To simplify the calculation, we can first divide 23800 by 595:
\[ 23800 \div 595 = 40 \]
Now, we multiply this result by 96:
\[ 40 \times 96 = 3840 \]

### Final Answer
Thus, the value that comes in place of the question mark (?) is:
\[ \boxed{3840} \]

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