A purchased an article and sold it to B at 22% profit. B marked it up by 13% above the price at which A has purchased it and then sold it after giving a discount of Rs. 250. If B suffered a loss of 10% in the transaction, then find the cost price of the article for A.

Let the cost price of the article for A be Rs. x

Therefore, cost price of the article for B = Rs. 1.22x

Marked price of the article = Rs. 1.13x

Selling price of the article for B = 0.9 × 1.22x = Rs. 1.098x

According to the question,

1.13x – 1.098x = 250

Or, x = 250/0.032 = 7812.50

Therefore, cost price of the article for A = Rs. 7812.50

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