A person sells two cows at Rs 9900 each. He gains 10% on one and loses 20% on the other. Determine the overall result.

Introduction:Selling two items at the same price with unequal gain and loss generally yields a net loss when the loss percentage exceeds the gain percentage. Compute exact CPs and compare with total SP.

Given Data / Assumptions:

• SP1 = Rs 9900 with 10% gain
• SP2 = Rs 9900 with 20% loss

Concept / Approach:Find CP1 and CP2 using SP = (1 ± rate)*CP, then compare total SP and total CP.

Step-by-Step Solution:For 10% gain: 9900 = 1.10 * CP1 ⇒ CP1 = 9000For 20% loss: 9900 = 0.80 * CP2 ⇒ CP2 = 12375Total CP = 9000 + 12375 = 21375Total SP = 9900 + 9900 = 19800Net result = 19800 − 21375 = −1575 (loss of Rs 1575)

Verification / Alternative check:Percentage analysis confirms that a 20% loss outweighs a 10% gain when prices are equalized.

Why Other Options Are Wrong:He gained Rs. 200 / lost Rs 200 / neither: All contradict the computed loss of Rs 1575.

Common Pitfalls:Assuming gains and losses cancel because selling prices are equal; ignoring the CP base effect.

Final Answer:None of the above