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Pintu is a dishonest shopkeeper who cheats both his supplier and his customers. He makes a cheating of 20% at the time of buying his goods from his supplier whereas 40% at the time of selling his goods to his customers. He promises to sell his goods at 10% loss. What is his actual profit percentage ? 

Pintu is a dishonest shopkeeper who cheats both his supplier and his customers. He makes a cheating of 20% at the time of buying his goods from his supplier whereas 40% at the time of selling his goods to his customers. He promises to sell his goods at 10% loss. What is his actual profit percentage ?  Correct Answer 80%

Given:

While buying, Pintu takes 20% more

While selling, Pintu gives 40% less

Formula Used:

Selling price = Cost price × (100 – loss%)/100

Profit = SP - CP

Profit % = (Profit/CP) × 100

Calculation:

Let the cost price of 1000 grams be Rs. 100

He cheats his supplier by 20%

Instead of 1000 grams he took 1200 grams 

Cost price of 1200 grams = Rs. 100

He cheats his customer by 40%

Instead of 1000 grams he sells only 600 grams 

Cost price of 600 grams = Rs. (600/1200) × 100

⇒ Cost price of 600 grams = Rs. 50

He sells at 10% loss

Selling price = Cost price × (100 – loss%)/100

⇒ Selling price = 100 × (100 – 10)/100 

⇒ Selling price = 90

Profit = SP - CP

⇒ Profit = 90 - 50

⇒ Profit = Rs. 40

Profit % = (Profit/CP) × 100

⇒ Profit % = (40/50) × 100

⇒ Profit % = 80

∴ The actual profit percent of Pintu is 80%.

⇒ In Rs. 1800 he sells 1200 gm goods 

Now, we can see clearly the C.P of 1200 gm goods = Rs. 1000

And the S.P of 1200 gm goods = Rs. 1800 

⇒ Profit% =  × 100 

⇒ 80%

∴ The actual profit percent of Pintu is 80%.

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