A and B entered into partnership by investing in the ratio 4:5. After 3…

To find the share of A in the profit, we need to calculate the ratio of their effective investments over the 10-month period.

Step 1: Calculate Effective Investment
Let the initial investments be 4x and 5x.

A's investment:

For the first 3 months: 4x * 3 = 12x

After 3 months, A withdraws 1/4 of his investment: 4x - (1/4 * 4x) = 3x.

For the remaining 7 months (10 - 3 = 7): 3x * 7 = 21x

Total effective investment for A = 12x + 21x = 33x

B's investment:

For the first 3 months: 5x * 3 = 15x

After 3 months, B withdraws 1/5 of his investment: 5x - (1/5 * 5x) = 4x.

For the remaining 7 months: 4x * 7 = 28x

Total effective investment for B = 15x + 28x = 43x

Step 2: Determine Profit Share
The ratio of their investments is 33:43.
Total ratio parts = 33 + 43 = 76.
Total profit = ₹6,080.

A's share = (33 / 76) * 6,080
A's share = 33 * 80 = ₹2,640

This matches Option 1.