A trader bought 640 kg of rice. He sold a part of the rice at 20% profit and the rest at 5% loss. He earned a profit of 15% in the entire transaction. What is the ratio of the quantity of rice that he sold at a loss of 5% to that of the quantity that he sold at a profit of 20%?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 1 : 4.
By using alligations we get,
\frac{Quantity \ of \ the \ Rice \ sold \ at \ 20% \ profit }{Quantity \ of \ the \ rice \ sold \ at \ the \ loss \ of \ 5 \% } = \frac{115-95}{120-115} = \frac{4}{1}
The ratio of the quantity of rice that he sold at a loss of 5% to that of the quantity that he sold at a profit of 20% = 1: 4.