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.

A 27,000 Correct Answer Incorrect Answer
B 31,200 Correct Answer Incorrect Answer
C 47,500 Correct Answer Incorrect Answer
D 49,300 Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

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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