Question

A shopkeeper sold an article for Rs.2700 at a profit of 20%. At what price was it purchased

Answer 1

$s.p. = 2700 \\ p\% = 20\% \\ let \: \: \: c.p. = x \\ 2700 = x + 20\%ofx \\ 2700 = x + \frac{20x}{100} \\ 2700 = \frac{120x}{100} \\ 2700 = \frac{6x}{5} \\ x = \frac{2700 \times 5}{6} \\ x = 450 \times 5 = 2250$

Answer 2

[tex]let, purchase cost is x then x+(x*(20/100))=2700 x+(x/5) =2700 6x/5=2700 6x=2700*5 x=(2700*5)/6 hence x=2250[/tex]