Question
The ratio of cost price to the marked price of an
article is 5:8. The article had been marked above its cost price by Rs. 240. If the article was sold at a discount of Rs. 180, then find the profit/loss percentage incurred.Solution
Let the cost price and marked price of the article be Rs. 5x and Rs. 8x, respectively
According to the question,
8x – 5x = 240
Or, 3x = 240
Or, x = 80
Therefore, cost price of the article = 5x = Rs. 400
Marked price of the article = 8x = Rs. 640
Selling price of the article = 640 – 180 = Rs. 460
Required profit percentage = {(460 – 400)/400} × 100 = 15%
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