Question
A profit earned by selling a bike for Rs. 12,000 is the
same as the loss incurred when it is sold for Rs. 8,000. If the cost price had been Rs. 1,200 higher and it was sold at a loss of 10%, what would have been its selling price?Solution
ATQ, Let the cost price of the bike be Rs. 'z'. Profit = Loss implies: 12000 - z = z - 8000 Or, 2z = 20000 Or, 'z' = (20000 / 2) = 10000 New cost price = 10000 + 1200 = Rs. 11,200 Required selling price at 10% loss = 0.90 × 11200 = Rs. 10,080
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