Question 51

A trader has 600 kgs of rice, a part of which he sells at 15% profit and the remaining quantity at 20% loss. On the whole, he incurs an overall loss of 6%. What is the quantity of rice he sold at 20% loss ?

Solution

let the cost of per kg rice be Rs y

Let the amount of rice sold at 15% profit be m kg and so the rice sold at 20% loss be (600-m)kg

selling price of m kg rice which is sold at profit = 1.15y per kg × m

Selling price of (600-m) kg rice at 20% loss = 0.8y × (600-m)

Over all loss is = 6%

So,1.15my + 480y - 0.8my = 0.94×600y= 564y

84y = 0.35my

m = 240 kg

So amount of rice sold at 20% loss = 600-240 = 360 kg

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