The price of the pen is "12", and the cost price of 1000 pens is "12000".
Calculating the price of the pen:
Assume the number of Pens[tex]= x[/tex]
commission price of 1000 Pens[tex]=1000 x[/tex]
The selling price of Pens:
[tex]=\frac{1000\times 115x}{100}\\\\ ={10\times 115 x}{}\\\\= 1150x[/tex]
Commission price on Purchase:
[tex]= \frac{1000\times 1 x}{100}\\\\= \frac{10\times 1 x}{1}\\\\= 10x[/tex]
commission price on sales:
[tex]=\frac{1150x \times 3}{100}\\\\=\frac{115 x \times 3}{10}\\\\=\frac{345 x }{10}\\\\=34.5\ x[/tex]
Calculating the total commission:
[tex]\to 10x+34.5x=44.5x=534\\\\\to 44.5x=534\\\\\to x = \frac{534}{ 44.5}=12[/tex]
Therefore, the agent buys a pen at 12 rupees and the cost price of 1,000 pens is 12000.
Learn more about the commission price here:
brainly.com/question/2321387
