a person sells an article at a profit of 12% if he had purchased it for 12% less and sold it for 9rupees less the would have gained 27% what is the original cost price of the article
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Let the CP of the article be x.
If the person sells the article of 12% Profit, then SP of the article = x × (112/100)
If the person had purchased the article for 12% less, the new CP of the article = x × (88/100)
According to the question
⇒ [(112x/100) – 9] – (88x/100) = (27/100) × (88x/100)
⇒ 1.12x – 9 – 0.88x = 0.2376x
⇒ 1.12x – 1.1176x = 9
⇒ x = 9/0.0024 = 3750
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