If the cost price of 12 pens is equal to the selling price of 8 pens, the gain percent is​

1 thought on “If the cost price of 12 pens is equal to the selling price of 8 pens, the gain percent is​”

1. Solution

   Given :–

   • the cost price of 12 pens is equal to the selling price of 8 pens.

   Find :–

   • Gain in percentage

   Explanation

   We Know, for gain percentage first calculate gain.

   So, Now calculate

   Let,

   • CP of 12 pens = Rs x
   • CP of 1 pens = Rsx/12

   Therefore,

   • SP of 8 pens also = Rs. x
   • SP of 1 pens also = Rs. x/8

   Then,

   ==> Gain = x/8 – x/12

   ==> Gain = x(12 – 8)/96

   ==> Gain = 4x/96

   ==> Gain = x/24

   Now, Calculate %gain

   Formula

   [tex]\dag\boxed{\underline{\tt{\red{\:Gain\%\:=\:\dfrac{Gain\times 100}{C.P.}}}}}[/tex]

   ==> Gain% = (x/24 × 100)/(x/12)

   ==> Gain% = 100×12/24

   ==> Gain% = 100/2

   ==> Gain % = 50%

   Hence

   • Gain% will be = 50%.

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