Explanation:

- To find a single discount equivalent to three successive discounts, we use the formula:

$$ \text{Effective Discount} = 1 - (1 - d_1)(1 - d_2)(1 - d_3) $$

where \( d_1, d_2, \) and \( d_3 \) are the given successive discounts in decimal form.

- Calculate each step:

- Convert percentages: 10% = 0.10, 15% = 0.15, 18% = 0.18.

- Apply the formula:

$$ \text{Effective Discount} = 1 - (0.90 \times 0.85 \times 0.82) $$

- Plug in the values:

- \( 0.90 \times 0.85 = 0.765 \)

- \( 0.765 \times 0.82 = 0.6273 \)

Thus, effective discount = \( 1 - 0.6273 = 0.3727 \) or 37.27%.

- Option 3: 37.27% is the correct answer.

- Option 3: 37.27%