860% of 50 + 50% of 860 = ?

Options

A. a. 430
B. b. 516
C. c. 860
D. d. 960

Answer

To solve the question "860% of 50 + 50% of 860", we can break it down step by step.

### Step 1: Convert percentages to fractions
First, we need to convert the percentages into fractions:
- 860% can be written as \( \frac{860}{100} \)
- 50% can be written as \( \frac{50}{100} \)

### Step 2: Calculate 860% of 50
Now, we calculate \( 860\% \) of \( 50 \):
\[ 860\% \text{ of } 50 = \frac{860}{100} \times 50 \]
This simplifies to:
\[ = \frac{860 \times 50}{100} \]
Canceling the zeros:
\[ = \frac{86 \times 50}{10} = 86 \times 5 = 430 \]

### Step 3: Calculate 50% of 860
Next, we calculate \( 50\% \) of \( 860 \):
\[ 50\% \text{ of } 860 = \frac{50}{100} \times 860 \]
This simplifies to:
\[ = \frac{50 \times 860}{100} \]
Again, canceling the zeros:
\[ = \frac{5 \times 860}{10} = 5 \times 86 = 430 \]

### Step 4: Add the two results
Now, we add the results from Step 2 and Step 3:
\[ 430 + 430 = 860 \]

### Final Answer
Thus, the final answer is:
\[ \boxed{860} \]

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