Concept:
Different garden styles are known for different design principles. Symmetry and asymmetry are important principles of garden design.
Step 1: Understand asymmetrical balance.
Asymmetrical balance means the two sides of the design are not exactly identical, but still appear visually balanced.
\[
\text{Unequal arrangement}+\text{visual balance}=\text{asymmetrical balance}
\]
Step 2: Identify the garden style.
Japanese gardens are famous for naturalistic design, irregular arrangement, symbolic elements and asymmetrical balance.
\[
\text{Japanese garden} \rightarrow \text{asymmetrical balance}
\]
Step 3: Compare with formal gardens.
Persian, Italian and Mughal gardens generally show formal layout, symmetry, axial planning and geometric arrangement.
Therefore, asymmetrical balance is strongly demonstrated in Japanese gardens.
\[
\therefore \text{Correct Answer is (A)}
\]