Question
A purchased an article and sold it to B at 20% profit. B
marked it up by 24% above the price at which A has purchased it and then sold it after giving a discount of Rs. 400. If B suffered a loss of 10% in the transaction, then find the cost price of the article for A.Solution
Let the cost price of the article for A be Rs. x
Therefore, cost price of the article for B = Rs. 1.20x
Marked price of the article = Rs. 1.24x
Selling price of the article for B = 0.9 × 1.20x = Rs. 1.08x
According to the question,
1.24x – 1.08x = 400
Or, x = 400/0.16 = 2500
Therefore, cost price of the article for A = Rs. 2500
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