Sell, then buy back at a loss — net effect on the first owner A owns a house worth Rs 10,000. He sells it to B at a 10% profit on this worth, and later buys it back from B at a 10% loss (on B's buying price). What is A's net result from these two transactions?

Introduction / Context:
A two-step transaction (sell at profit, then buy back at loss) often yields a nonzero net result because the loss is computed on the buyer's price, not on the original worth. We compute each step and compare A's outflow/inflow of cash.

Given Data / Assumptions:

• A sells at 10% profit on Rs 10,000 ⇒ first SP = 10,000 × 1.10 = 11,000.
• B then sells back to A at 10% loss on 11,000 ⇒ buyback price = 11,000 × 0.90 = 9,900.

Concept / Approach:
Net effect for A = (cash received on first sale) − (cash paid on buyback). Since the same asset returns to A, only the cash flows determine profit or loss.

Step-by-Step Solution:
Cash in: Rs 11,000 (from first sale).Cash out: Rs 9,900 (to buy back).Net = 11,000 − 9,900 = Rs 1,100 profit.

Verification / Alternative check:
Relative movement: +10% then −10% on the changed base leads to a net −1% on the intermediate base for B, but a +11% of 10,000 benefitting A (seen through cash difference).

Why Other Options Are Wrong:
No profit/loss is incorrect; Rs 1,000 or Rs 2,000 do not match exact arithmetic; loss is impossible here.

Common Pitfalls:
Subtracting 10% − 10% = 0% and concluding no change; percentage operations are multiplicative and base-dependent.

Final Answer:
Profit of Rs 1,100