SSC_CPO_PYQ_27_June_2024_S2_Q133

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.

• a) 17.25% loss
• b) 18.75% loss
• c) 18.25% profit
• d) 17.25% profit

Let’s analyze Aarav’s transactions step-by-step:
1. Aarav starts with the watch worth ₹10,000.
2. Aarav sells it to Bhavin at 15% profit:
Selling Price (SP) = $10000 \times 1.15 = ₹11,500$.
Aarav now has ₹11,500 in cash, and Bhavin has the watch.
3. Bhavin sells it back to Aarav at 15% loss:
Price Aarav pays = $11500 \times (1 – 0.15) = 11500 \times 0.85 = ₹9,775$.
Aarav now has the watch (worth ₹10,000) and some cash left:
Cash remaining = $11500 – 9775 = ₹1,725$.
4. Aarav’s total value now = Watch value + Cash remaining = $10000 + 1725 = ₹11,725$.
5. Initial value Aarav had = ₹10,000.
Net Profit = $11725 – 10000 = ₹1,725$.
Profit percentage = $\frac{1725}{10000} \times 100\% = 17.25\%\text{ profit}$.
Hence, option (d) is the correct answer.