Q. 353.7( 3 Votes )

The question is - A grocer purchased 200kg of rice at Rs. 25 per kg. He sold 80kg of at a gain of 10% and 40kg at a loss of 4%. At what rate per kg should he sell the remainder to gain 8% on his total investment?

Answer :

Total CP of 200kg at Rs.25 per kg = 200 × 25


The selling price of 80kg rice at 10% gain


Percentage gain per kg


Percentage gain per kg = 27.5


Percentage gain of 80kg rice = 80 × 27.5


Percentage gain of 80 kg rice = 2200


Selling price of 40kg rice at 4% loss



= Rs. 24 per kg


Loss through out 40 kg = 40 × 24


= 960


Remaining quantity


= 200 – 80 – 40


= 80kg


Total gain required = 8%


Earned Money


= 5400


Money to be earned through the sale of remaining 80kg


= 5400 – 2200 – 960


= 2240


Selling price of the remaining rice


= Rs. 28 per kg


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