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Question
Thirty articles are bought at Rs. 450 each. If one-third of these articles be sold at a 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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Solution
C.P. of one article = ₹ 450
C.P. of 30 articles = ₹ 450 × 30 = ₹ 13500
C.P. of `1/3` articles = `₹450xx30/3`
= ₹ 4500
Loss of = 6%
∴ S.P. of 10 articles `=("C.P."xx(100-"Loss%"))/100`
`= ₹(4500 xx (100-6))/100`
`= ₹(4500 xx 94)/100`
= ₹ 4230
C.P. of remaining articles = ₹ 450 × 20
= ₹ 9000
Profit on the whole = 10%
∴ Total S.P. of 30 articles
`=₹(13500xx(100+10))/100`
`=₹(13500xx110)/100`
= ₹ 14850
∴ S.P. of the remaining 20 articles.
= ₹ 14850 − ₹ 4230 = ₹ 10620
∴ S.P. of 1 article = `₹10620/20` = ₹ 531
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