Thirty articles are bought at 450 each. If one-third of these articles be sold at 6% loss; at what price must each of the remaining articles be sold in order to make a profit of 10% on the whole ?
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Correct option is A Rs. 531
Given, C.P. of the each article =Rs450
C.P. of 10 articles =Rs4500
Loss on 10 articles =6 %
So, Loss % =C.P.C.P.−S.P.×100=6
=>45004500−S.P.×100=6
=>4500−S.P.=270
=>S.P.=Rs4,230
Hence, Selling price of 10 articles =Rs4,230
Now, C.P. of 30 articles = 30×450=Rs13,500
So, Profit on the whole % =C.P.S.P.−C.P.×100=10
=>13,500S.P.−13,500×100=10
=>S.P.−13,500=1,350
=>S.P of all 30 articles .=Rs14,850
Thus, selling price of the remaining 20 articles =Rs14,850−Rs4,230=Rs10620
And Selling price of each article =2010,620=Rs531
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