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let the cp be rs x. if a man gains 20% profit by selling an article for rs 816. find cp​

Answer :

SMRITIMAHARJAN7425IN

Answer:

Let, the c.p be x.

Given,

profit % = 20%

S.P = rs 816

c.p = x

We know,

profit = p% of c.p

         = [tex]\frac{20}{100}[/tex] * x

         = [tex]\frac{x}{5}[/tex]

now,

   C.p = profit + s.p.

        x = [tex]\frac{x}{5}[/tex] + 816

        x = [tex]\frac{x+ 4080}{5}[/tex]

       5x = x + 4080

       5x-x = 4080

       4x = 4080

         x = [tex]\frac{4080}{4}[/tex]

         x = Rs 1080

Hence, the c.p is Rs. 1080

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