Question

A dealer sells a set of furniture at 20% loss,
Had he sold it for 900 more, he would have
made a 25% profit. At what price should he
sell in order to make 20% profit?
(a) 1,800 (b) 2,000
( 2,400 (d) 2,800​

Answer 1

Answer:

$\: let \: the \: cost \: of \: the \: table \: = rs \: x \\ profit = \: 20 \: percent \: \\ sp = cost + profit \: </p><p> = x + 20 \: percent \: of \: x \: = x + \frac{x}{5} = \frac{6x}{5} \\ now \: new \: cost \: price \: = x - \frac{6}{100} \times x = \frac{94x}{100} \\ now \: selling \: price \: = \frac{6x}{5} - 50 \\ new \: profit = new \: sp \: - new \: cp \: = \frac{6x}{5} - 50 - \frac{94x}{100} = \frac{26x}{100} - 50 \\ new \: profit \: = 25 \: percent \: of \: new \: cp \: = \frac{25}{100} \times \frac{94x}{100} = \frac{47x}{200} \\ \: hence \: \frac{47x}{100} = \frac{26x}{100} - 50 \\ 5x = 200 \times 50 \\ x = 2000 \: rs \: \\ thus \: cost \: price \: = rs \: 2000$