Respuesta :
Answer:
The cost price of one calculator is Rs.750.
The cost price of other calculator is Rs.500.
Step-by-step explanation:
Cost price of 1'st calculator = x
Cost price of 2'nd calculator = 1250-x
He sold one at a profit of 2%.
The selling price of one calculator is
[tex]SP_1=CP(1+\frac{P\%}{100})[/tex]
[tex]SP_1=x(1+\frac{2}{100})[/tex]
[tex]SP_1=x(1+0.02)[/tex]
[tex]SP_1=1.02x[/tex]
He sold other at a loss of 3%.
The selling price of other calculator is
[tex]SP_2=CP(1-\frac{L\%}{100})[/tex]
[tex]SP_2=(1250-x)(1-\frac{3}{100})[/tex]
[tex]SP_2=(1250-x)(1-0.03)[/tex]
[tex]SP_2=(1250-x)(0.97)[/tex]
[tex]SP_2=1212.5-0.97x[/tex]
According to given condition,
[tex]SP_1+SP_2=1250[/tex]
[tex]1.02x+1212.5-0.97x=1250[/tex]
[tex]0.05x=1250-1212.5[/tex]
[tex]0.05x=37.5[/tex]
[tex]x=\frac{37.5}{0.05}[/tex]
[tex]x=750[/tex]
The cost price of one calculator is Rs.750.
The cost price of other calculator is 1250-750=Rs.500.