1.

By selling 5 articles, a man gains the cost price of 1 article. Find his gain percentage.

Answer»

Let cost price of article be C.P. Let S.P of 1 articles be SP by selling 5 articles at SP he makes a gain of cost price of one article.

Gain on 1 article = SP – CP; 

⇒ Gain% = (SP−CP)/CP x 100

Gain on 2 articles = 2 x (SP – CP)

Gain on 5 articles = 5 x (SP – CP)

Given than gain on 5 articles is CP of 1 article

∴ 5(SP – CP) = CP

(SP−CP)/CP = 1/5

Gain percentage (SP−CP)/CP x 100 

= 1/5 x 100 % = 20%



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