When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?

Given Data

• Selling price (with 15% loss) = Rs. 18,700
• Required: price to obtain 15% gain

Step 1: Recover the cost price (CP)
Loss 15% ⇒ SP_loss = 0.85 × CP18,700 = 0.85 × CP ⇒ CP = 18,700 ÷ 0.85 = Rs. 22,000

Step 2: Target selling price for 15% gain
SP_gain = 1.15 × CP = 1.15 × 22,000 = Rs. 25,300

Checks & Common Pitfalls

• Loss or gain percentages always apply to CP, not to previous SP.
• Use the reciprocal correctly: dividing by 0.85 to undo a 15% loss.

Final Answer
Sell the plot for Rs. 25,300 to realize a 15% profit.