Question
Amir sells his bike to Nitin at a profit of 30% who
sells it to Rohan at a loss of 10%. Rohan, after finding some scratches in the bike, returns it to Nitin, but Nitin deducted 1/9th of the amount he got while giving the money back to Rohan. Find Rohan’s loss (in Rs.) in the transaction if Amir bought the bike for Rs. 2,40,000.Solution
Let Amir’s C.P = Rs. 100 Amir’s S.P = Nitin’s C.P = Rs. 130 Then, Nitin’s S.P = Rohan’s C.P = 90% of 130 = Rs. 117 After deduction, Rohan’s loss = 1/9 x 117 = 13 When Amir pays Rs. 100, Rohan’s loss was Rs. 13 When Amir paid Rs. 2,40,000, Rohan’s loss = `13/100` × 2,40,000 = Rs. 31,200
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