To find the percentage of trading cards Rishi gave away, we first need to calculate the total number of cards he gave away and then find what percentage that is of his total number of cards.
Rishi gives away:
- 15 cards to his brother
- 25 cards to his sister
Total cards given away: \[ 15 + 25 = 40 \text{ cards} \]
Rishi initially has 160 trading cards. Now, we can calculate the percentage of cards given away using the formula:
\[ \text{Percentage given away} = \left( \frac{\text{Total cards given away}}{\text{Total cards}} \right) \times 100 \]
Substituting the known values into the formula:
\[ \text{Percentage given away} = \left( \frac{40}{160} \right) \times 100 \]
Calculating the fraction: \[ \frac{40}{160} = 0.25 \]
Now, multiply by 100 to get the percentage: \[ 0.25 \times 100 = 25% \]
Thus, Rishi gave away \( \boxed{25%} \) of his trading cards.