**If 20\% of (A + B) = 30\% of (A - B), then what percentage of B is equal to A?**

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**Solution:**

1. Given the equation:
   $$0.20(A + B) = 0.30(A - B)$$

2. Divide both sides by 0.10 to simplify:
   $$2(A + B) = 3(A - B)$$

3. Expand both sides:
   $$2A + 2B = 3A - 3B$$

4. Rearrange terms to isolate *A*:
   - Subtract $2A$ from both sides:
     $$2B = A - 3B$$
   - Add $3B$ to both sides:
     $$2B + 3B = A$$
     $$5B = A$$

5. Express *A* as a percentage of *B*:
   $$\frac{A}{B} = 5$$
   Multiply by 100 to get percentage:
   $$5 	imes 100 = 500\%$$

**Answer:** $500\%$

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