Question

Dinesh buy an article and sell it to ranjan at a profit of 20% .Ranjan sells it to Mukesh gaining 30% .if mukesh pays rs 1872 for it , how much did Dinesh pay

Answer 1

hey mate

lets consider the buying price of dinesh as x and buying price of rangan is y

selling price= cost price + profit

selling price of rangan = y+30/100% of y
mukesh pays rs 1872 to rangan that is selling price if rangan

.

$1872 = y + \frac{30}{100} \times y \\ 1872 = y + \frac{30y}{100} \\ 1872 = \frac{130y}{100} \\ 187200 = 130y \\ \frac{187200}{130} = y \\ 1440 = y$
buying price of rangan is rs1440
that is selling price of dinesh
$1440 = x + \frac{20}{100} \times x \\ 1440 = x + \frac{20x}{100} \\ 1440 = \frac{120x}{100} \\ 144000 = 120x \\ \frac{144000}{120} = x \\ 1200 = x$
buying price of dinesh is rs 1200
hope it helps