Question

A trader Purchaser 2000 quintal of rice. he sells one fourth of it at a rofit of 10% , one half at a profit of 20% and remaining at a loss of 8% . if he had sold the entire rice at a profit of 12% he would have gained rs 930 more . find out the cost of rice per quintal ?

Answer 1

let cost of one quintal of rice be x.So the cost of 2000 quintals of rice =2000x. So he sells 1/4th of it at profit of 10%=> Selling Price of 500 quintals =500(x+ 10/100(x))=550x. Selling price of another half= 100(x+20/100(x))=1200x. Selling Price of last one fourth is 500(x-8/100(x))=460x. Total selling price of 2000 quintals=550x+1200x+460x=2210x.
Profit obtained in this case=2210x-2000x=210x. When he sold 2000 quintals at 12% profit he would have gained ₹930 more so Profit for 2000 quintals in second case=12/100(2000x) =240x. So 240x-210x=930=> 30x=930=> x=₹31. So cost of rice per qunital =₹31.