Aarav owns a watch worth ₹10,000. He sells it to Bhavin at a profit of 15%. After some days, Bhavin sells it back to Aarav at 15% loss. Find the percentage profit or loss faced by Aarav.

The correct option is 17.25% profit.

Let us break down the transactions step-by-step to calculate Aarav's total profit percentage.

Step 1: Aarav sells the watch to Bhavin
Initial cost price of the watch for Aarav = ₹10,000.
Aarav sells it at a profit of 15%.
Profit made by Aarav on the first sale = 15% of ₹10,000

= $\frac{15}{100}\times 10000$ = ₹1,500

Selling Price for Aarav (which is the Cost Price for Bhavin) = ₹10,000 + ₹1,500 = ₹11,500.
At this point, Aarav has ₹11,500 in cash from selling the watch.

Step 2: Bhavin sells the watch back to Aarav
Cost price of the watch for Bhavin = ₹11,500.
Bhavin sells it back to Aarav at a loss of 15%.
Loss incurred by Bhavin = 15% of ₹11,500

= $\frac{15}{100}\times 11500$ = ₹1,725

Price paid by Aarav to buy back the watch = ₹11,500 - ₹1,725 = ₹9,775.

Step 3: Calculate Aarav's overall financial gain (net profit)
Aarav received ₹11,500 from the first sale and spent ₹9,775 to buy it back.
Net cash gained by Aarav = ₹11,500 - ₹9,775 = ₹1,725.
Since Aarav still has his original watch back plus an extra cash amount of ₹1,725, his total profit is ₹1,725.

Step 4: Calculate Aarav's percentage profit
Percentage profit = $\left(\frac{\text{Net Profit}}{\text{Original Cost Price}}\right)\times 100$

= $\left(\frac{1725}{10000}\right)\times 100$ = 17.25%

Therefore, Aarav faced an overall profit of 17.25%.