Explanation:

- Let's assume the cost price (CP) = ?100.

- Given: Profit = 40% on CP, so selling price (SP) = ?140.

- Three discounts given: 5%, 10%, and 15%.

Step 1: Calculate Marked Price (MP)

- Let the MP be x.

- After 5% discount: 0.95x

- After 10% discount: 0.95x × 0.90 = 0.855x

- After 15% discount: 0.855x × 0.85 = 0.72675x

- We’re told 0.72675x = ?140

? x = 140 / 0.72675 ˜ ?192.64

Step 2: If only two discounts are given (5% and 10%):

- New SP = 0.95 × 0.90 × MP

= 0.855 × ?192.64 ˜ ?164.99

Step 3: Calculate new profit %:

- Profit = 164.99 - 100 = ?64.99

- Profit % = (64.99 / 100) × 100 = 64.99%

Step 4: Match with options:

- Option 1: 59.71%

- Option 2: 66.71%

- Option 3: 64.71%

- Option 4: 74.71%

- Correct answer is Option 3: 64.71%

- Option 3 fits our calculation best.

-