If a man were to sell his bike for Tk. 67500, he would lose 25%. To gain 25% at what price should he sell it?

Question: If a man were to sell his bike for Tk. 67500, he would lose 25%. To gain 25% at what price should he sell it?Solution: Let,the cost price of the bike be xSelling at Tk. 67,500 causes a 25% loss,ATQ,75% of cost price = 67500⇒ cost price = 67500 ÷ 75%⇒ cost price = 67500 ÷ (75/100)⇒ cost price = {67500 × (100/75)}∴ cost price = Tk. 90000∴ To gain 25% he should sell it = (125/100) × 90000= Tk. 112500