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Vikas purchased 10 pen. He sold 5 pens at 25% profit and the remaining 5 pen at 16.7%loss .If he received rs 625 in totla.find the cost price of each pen.​

Sagot :

  • He sold 5pens(half) at 25% gain
  • He sold 5pens(half) at 16.7%loss

Total gain percentage=25-16.7=8.3%

  • SP=625

Let CP be x

[tex]\\ \sf\longmapsto 0.083x+x=625[/tex]

[tex]\\ \sf\longmapsto x(0.083+1)=625[/tex]

[tex]\\ \sf\longmapsto x(1.083)=625[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{625}{1.083}[/tex]

[tex]\\ \sf\longmapsto CP=577.1[/tex]

  • CP of 10pens=577.1

CP of 1pen

[tex]\\ \sf\longmapsto \dfrac{577.1}{10}=57.71[/tex]