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A shopkeeper mixes 15 kg of rice purchased @ ₹ 30/kg with 25 kg of rice purchased @ ₹ 40/kg. What…

The total cost of the mixture is \(15\times30+25\times40=450+1000=\text{₹ }1450\) for 40 kg, which is ₹ 36.25 per kg. For a 20% profit the selling price must be…

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A shopkeeper mixes 15 kg of rice purchased @ ₹ 30/kg with 25 kg of rice purchased @ ₹ 40/kg. What should be his selling price per kg in order to make a profit of 20%?

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Correct answer D

The total cost of the mixture is 15×30+25×40=450+1000=₹ 145015\times30+25\times40=450+1000=\text{₹ }1450 for 40 kg, which is ₹ 36.25 per kg. For a 20% profit the selling price must be 36.25×1.2=₹ 43.5036.25\times1.2=\text{₹ }43.50 per kg. Taking the simple average of ₹ 30 and ₹ 40 would ignore that more of the dearer rice is used.

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