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A dishonest dealer claims to sell a product at its cost price. He uses a counterfeit weight which is 20% less that the real weight. Further greed overtook him, and he added 20% impurities to the product. Find the net profit percentage to the dealer.

A dishonest dealer claims to sell a product at its cost price. He uses a counterfeit weight which is 20% less that the real weight. Further greed overtook him, and he added 20% impurities to the product. Find the net profit percentage to the dealer. Correct Answer 56.25%

GIVEN :

A dishonest dealer claims to sell a product at its cost price.

He uses a counterfeit weight which is 20% less that the real weight.

Further greed overtook him, and he added 20% impurities to the product. 

 

ASSUMPTION :

Let the cost price of 100 kg be Rs 100.

 

CALCULATION :

Now, due to false weight = Actual quantity = 100 × 80% = 80kg

Now, due to inpurity, Actual quantity = 80 × 4/5 = 64 kg

Now selling price = Rs. 100

And, cost price of 64 kg = Rs. 64

Hence, profit = 100 - 64 = Rs. 36

∴ Profit percentage = 36/64 × 100 = 56.25%

 

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