Think about this question: If $$ 100 \% $$ represents ' something', then what does $$ 200 \% $$ represent? (Hint: Work out a $$ 100 \% $$ increase in the number 5 . Then work out a $$ 200 \% $$ increase in 5.)

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To solve the problem, we need to understand what a percentage increase means.

1. **Understanding 100% Increase:**
   - A $$ 100\% $$ increase means that we are adding the entire original amount to itself.
   - If we take the number $$ 5 $$:
     $$
     \text{100\% increase} = 5 + (100\% \text{ of } 5) = 5 + 5 = 10
     $$

2. **Understanding 200% Increase:**
   - A $$ 200\% $$ increase means that we are adding twice the original amount to itself.
   - For the number $$ 5 $$:
     $$
     \text{200\% increase} = 5 + (200\% \text{ of } 5) = 5 + (2 \times 5) = 5 + 10 = 15
     $$

Now, we can summarize the findings:
- A $$ 100\% $$ increase in $$ 5 $$ results in $$ 10 $$.
- A $$ 200\% $$ increase in $$ 5 $$ results in $$ 15 $$.

Thus, if $$ 100\% $$ represents the original amount plus the same amount again, then $$ 200\% $$ represents the original amount plus double that amount.

In conclusion, $$ 200\% $$ represents $$ 15 $$ when starting from $$ 5 $$.
A $$ 200\% $$ increase in $$ 5 $$ is $$ 15 $$.

Think about this question: If \( 100 \% \) represents ' something', then what does \( 200 \% \) represent? (Hint: Work out a \( 100 \% \) increase in the number 5 . Then work out a \( 200 \% \) increase in 5.)

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