Question
A machine is sold at an 8%
profit, making its selling price Rs. 63 higher than the selling price if it were sold at a 20% loss. What would the selling price be if the machine is sold at a profit of 12%?Solution
ATQ,
Let the cost price of the machine = Rs. 100y Then, according to the question, 100y × 1.08 – 100y × 0.8 = 63 Or, 108y – 80y = 63 Or, 28y = 63 So, y = (63/28) = 2.25 So, cost price of the machine = 2.25 × 100 = Rs. 225 Required selling price of the machine = 225 × 1.12 = Rs. 252
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