A man sells an article at 10% above its cost price. If he had bought it at 15% less than what he paid for it and sold it for ` 33 less, he would have gained 10%. Find the cost price of the article.
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Let the cost price of the article be 100 unit
So, SP of the article = 100 × 110/100 = 110 unit
If he had bought it at 10% less, then new CP of the article = 100 × 90/100 = 90 unit
If he had paid for the article Rs. 11 less, he would have gained 10%
According to the question
⇒ (90 × 110/100) unit = 110 unit – 11
⇒ (110 – 99) unit = 11
⇒ 11 unit = 11
⇒ 100 unit = 100
∴ Cost price of the article Rs. 100
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