A fruit seller bought some mangoes. By selling 50% of total mangoes he got a profit of equal to 50% of his overall cost and 80% of remaining mangoes he sells at a profit at 1/4 of his previous profit, if he throw rest of the mangoes due to spoilage then find out his overall profit percent?

Let the fruit seller purchase 100 mangoes in Rs 100 Cost price of 1 mango = Rs 1 He sell 50% of mangoes = 100 × 50% = 50 mangoes At a profit of 50% of total cost. So profit = total cost × 50% = 100 × 50/100 = Rs 50 ∴ Selling price of 50 mangoes = C.P + Profit = 50 + 50 = Rs 100 So profit % = 50/50 × 100 = 100% He sells 50 mangoes at the profit of 100% He sells 80% of the remaining mangoes = 80/100 × 50 = 40 mangoes Cost price of 40 mangoes = Rs 40 Profit % = 100 × 1/4 = 25% Selling price of 40 mangoes = 125/100 × 40 = Rs 50 So overall cost price = Rs 100 of 100 mangoes Overall selling price = 100 + 50 = Rs 150 So profit = 150 – 100 = Rs 50 Profit % =  50/100 × 100 = 50%