Question 68

A trader bought 640 kg of rice. He sold a part of rice at 20% profit and the rest at 5% loss. He earned a profit of 15% in the entire transaction. What is the quantity (in kg) of rice that he sold at 5% loss?

Solution

Using mixture and alligation method,

Ratio of the quantity of rice sold at 20% profit and 5% loss = 20 : 5

= 4 : 1

Quantity of rice sold at 5% loss = $$\frac{1}{4+1}\times$$640

= 128 kg

Hence, the correct answer is Option A

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