A dishonest shopkeeper marks-up his goods by 50% and gives a discount

1.	A dishonest shopkeeper marks-up his goods by 50% and gives a discount of 20%. Besides it, being a defraud, he weighs 20% less amount while selling his goods. What is the net profit of the shopkeeper?1). 25%2). 35%3). 40%4). 50%
Answer» Let original cost price of the GOODS be Rs. 100 He marked his goods at 50% above the cost price, ∴ Marked price of the goods = Rs. 150 He gives a discount of 20% on marked price, ∴ Selling Price = 150 × (80/100) = Rs. 120 ? He weighs 20% less ∴ Actual cost price = 100 - (20% of 100) = Rs. 80 Profit = SP - CP = 120 - 80 = Rs. 40 ∴ Profit percentage = $(\FRAC{{80{\rm{\;}} - {\rm{\;}}40}}{{80}} \times 100 = 50\%)$

A dishonest shopkeeper marks-up his goods by 50% and gives a discount of 20%. Besides it, being a defraud, he weighs 20% less amount while selling his goods. What is the net profit of the shopkeeper?1). 25%2). 35%3). 40%4). 50%

Answer»

Let original cost price of the GOODS be Rs. 100

He marked his goods at 50% above the cost price,

∴ Marked price of the goods = Rs. 150

He gives a discount of 20% on marked price,

∴ Selling Price = 150 × (80/100) = Rs. 120

? He weighs 20% less

∴ Actual cost price = 100 - (20% of 100) = Rs. 80

Profit = SP - CP = 120 - 80 = Rs. 40

∴ Profit percentage = $(\FRAC{{80{\rm{\;}} - {\rm{\;}}40}}{{80}} \times 100 = 50\%)$

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A dishonest shopkeeper marks-up his goods by 50% and gives a discount of 20%. Besides it, being a defraud, he weighs 20% less amount while selling his goods. What is the net profit of the shopkeeper?1). 25%2). 35%3). 40%4). 50%

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