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Sum

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 = ₹4500 × 20

= ₹90000

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

Concept: Concept of Discount

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