Simplify:- 50% of 24% of ? =6

Options

A. a. 25
B. b. 35
C. c. 40
D. d. 50

Answer

To solve the equation \( 50\% \) of \( 24\% \) of \( ? = 6 \), we can follow these steps:

### Step 1: Convert percentages to fractions
First, we convert the percentages into fractions:
- \( 50\% = \frac{50}{100} = \frac{1}{2} \)
- \( 24\% = \frac{24}{100} = \frac{24}{100} \)

### Step 2: Set up the equation
Now we can express the equation using these fractions:
\[ \frac{1}{2} \times \frac{24}{100} \times ? = 6 \]

### Step 3: Simplify the left side
Multiplying the fractions:
\[ \frac{1 \times 24}{2 \times 100} \times ? = 6 \]
This simplifies to:
\[ \frac{24}{200} \times ? = 6 \]

### Step 4: Further simplify the fraction
Now simplify \( \frac{24}{200} \):
\[ \frac{24 \div 8}{200 \div 8} = \frac{3}{25} \]
So the equation now looks like:
\[ \frac{3}{25} \times ? = 6 \]

### Step 5: Isolate the variable
To isolate \( ? \), multiply both sides by the reciprocal of \( \frac{3}{25} \):
\[ ? = 6 \times \frac{25}{3} \]

### Step 6: Calculate the right side
Now calculate \( 6 \times \frac{25}{3} \):
\[ ? = \frac{150}{3} = 50 \]

### Final Answer
Thus, the value of \( ? \) is \( 50 \).

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