SBI PO Prelims 4 Aug 2025 Shift 1 Paper

Concept:Profit is the net gain from all transactions. Suman's total profit includes his initial profit from the first sale plus the savings from buying the earpiece back at a lower price.Explanation:Step 1: Suman's cost price (CP) = Rs. 100. He sells to Rachna at 10% profit. So selling price (SP) = $100 \times \frac{110}{100} = 110$. Profit = Rs. 10.Step 2: Rachna sells to Deepti at 20% profit. Deepti's CP = Rs. 110. SP = $110 \times \frac{120}{100} = 132$.Step 3: Deepti sells back to Suman at a loss of 36.36%. Loss% = $\frac{4}{11}$ exactly. So Suman's new CP = $132 \times \left(1 - \frac{4}{11}\right) = 132 \times \frac{7}{11} = 84$.Step 4: Suman initially had the earpiece costing Rs. 100. After selling and buying back, his net cost for the earpiece is reduced. Net cost = Original CP - (Sale price from first transaction - Buyback price) = $100 - (110 - 84) = 100 - 26 = 74$.Step 5: The total profit earned by Suman is the reduction in cost plus the first profit. Alternatively, profit = (Original CP - New CP) + First profit = $(100 - 84) + 10 = 16 + 10 = 26$.Answer:Rs. 26 (Option A).