Question
A machine is sold at 10% profit and its selling price is
Rs. 40 more than when sold at a 15% loss. Determine the cost price of the machine.Solution
Let the cost price of the machine = Rs. ‘100y’
According to the question,
100y × 1.10 – 100y × 0.85 = 40
Or, 110y – 85y = 40
Or, 25y = 40
So, y = 40 ÷ 25 = 1.6
So, cost price of the machine = 1.6 × 100 = Rs. 160
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