Find the approximate value which should replace the question mark (?) in each of the following question .
Four - fifth of three - eight of a number is 24 .What is 250 percent of that number ?

Options

A. 100
B. 160
C. 120
D. 200

Answer

To solve the problem step by step, we will follow the instructions given in the question.

### Step 1: Understand the problem
We need to find a number \( x \) such that four-fifths of three-eighths of \( x \) equals 24. After finding \( x \), we will calculate 250 percent of that number.

### Step 2: Set up the equation
We can express the given information mathematically:
\[ \frac{4}{5} \times \frac{3}{8} \times x = 24 \]

### Step 3: Simplify the equation
First, we can simplify the left side:
\[ \frac{4 \times 3}{5 \times 8} \times x = 24 \]
This simplifies to:
\[ \frac{12}{40} \times x = 24 \]
Further simplifying \( \frac{12}{40} \):
\[ \frac{12}{40} = \frac{3}{10} \]
So, we have:
\[ \frac{3}{10} \times x = 24 \]

### Step 4: Solve for \( x \)
To isolate \( x \), we can multiply both sides by the reciprocal of \( \frac{3}{10} \), which is \( \frac{10}{3} \):
\[ x = 24 \times \frac{10}{3} \]
Calculating this gives:
\[ x = \frac{240}{3} = 80 \]

### Step 5: Calculate 250 percent of \( x \)
Now that we have \( x = 80 \), we need to find 250 percent of \( x \):
\[ 250\% \text{ of } x = \frac{250}{100} \times 80 \]
This simplifies to:
\[ 2.5 \times 80 = 200 \]

### Final Answer
Thus, the approximate value that should replace the question mark (?) is:
\[ \boxed{200} \]