Question
An article when marked 25% above its cost price and sold
after a discount of 10% is sold for a profit of Rs. 50. If the article was instead marked 40% above its cost price and sold after a discount of Rs. 60, then what would be its selling price?Solution
Let the cost price of the article = Rs. '100y' According to the question, 100y × 1.25 × 0.9 = 100y + 50 Or, 112.5y = 100y + 50 So, 12.5y = 50 So, y = (50/12.5) = 4 So, cost price of the article = 4 × 100 = Rs. 400 So, desired selling price = 400 × 1.4 − 60 = Rs. 500
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