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If the cost price of 21 articles is equal to the selling price of 18 articles, find the profit percentage​

Sagot :

Answer:  14.29%

Step-by-step explanation:

Let C be the cost of 1 article and S the selling price for 1 article.  The profit, P, for 1 article would be:

P = S - C

For n articles, the total profit would be

nP = nS - nC

Profit percentage would be (P/S)*100%

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We know that 21C = 18S:  This can be written as C = (18/21)S

P = S - C

P = S - (18/21)S

P = (3/21)S or P=(1/7)S

Profit percentage would therefore be

(P/S)*100%

((1/7)S/S)*100%

(1/7)*100%

= 14.29%