A dishonest shopkeeper defrauds to the extent of P% in buying as well as selling goods by using false weight. Find his profit percent?

2P + \(\frac{P^{2}}{100}\)% \(\frac{2P}{100-P}\)% \(\frac{200P}{100-P}\)% \(\frac{200P}{100+P}\)%

\(\frac{200P}{100-P}\)%

Let the actual weight = 100 Weight at the time of buying = (100+P) Weight at the time of selling = (100 - P) Profit % = \(\frac{(100 + P - 100 + P)}{100 - P}\) x 100             = \(\frac{200P}{100 - P}\)%