Q. 244.1( 68 Votes )

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

Answer :

CP of 200kg Rice = 200 × 25


= Rs.5000


CP 0f 80 kg Rice = 80 × 25


= Rs.2000


SP of 80Kg rice sold at gain of 10%




= Rs.2200


CP of 40 kg Rice sold @4% loss = 40 × 25


= Rs.1000


SP of 40 Kg Rice sold @4% loss



= Rs.960


SP of Rice for Gaining 8% on total value




= Rs.5400


Total Wt. of Rice Sold = 80 + 40 = 120 Kg


Remaining Wt. of Rice to be Sold


= 200 - 120


= 80 Kg


Total amount obtained from Selling Rice


= 2200 + 960


= Rs.3160


Difference of Amount = 5400 – 3160


= Rs.2240


New Rate of Rice will be = Rs.2240 / 80


= Rs.28

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