Explanation:

Here’s the stepwise solution explained:

- Let's assume number of apples = x.

- Total cost = Rs. 3,600, so, cost per apple = 3,600/x

Step 1: First Sale

- One-fifth sold at 10% loss = x/5 apples

- Cost of x/5 apples = (3,600 * 1/5) = Rs. 720

- Sold at 10% loss, so SP = 720 x 0.9 = Rs. 648

Step 2: Second Sale

- Remaining apples = x - x/5 = (4x/5)

- One-fourth of these = (1/4)*(4x/5) = x/5 apples

- Cost of x/5 apples = Rs. 720

- Sold at 5% loss, SP = 720 x 0.95 = Rs. 684

Step 3: Third Sale

- Apples left = (4x/5 - x/5) = (3x/5)

- Two-third of these = (2/3)*(3x/5) = (2x/5) apples

- Cost = (2x/5)/(x) * 3,600 = Rs. 1,440

- Sold at 15% profit, SP = 1,440 x 1.15 = Rs. 1,656

Step 4: Remaining apples

- Apples left = 3x/5 - 2x/5 = x/5 apples

- Total cost of these = Rs. 720

Step 5: Let selling price of remaining apples be y

- Total selling price = 648 + 684 + 1,656 + y

- Required overall profit = 27% of 3,600 = 4,572

- So, 648 + 684 + 1,656 + y = 4,572

- Thus, y = 4,572 - (648 + 684 + 1,656) = 4,572 - 2,988 = Rs. 1,584

Highlighted Correct Option:

Option:2, 1,584