A trader bought 640 kg of rice. He sold a part of rice at a 20% profit and the rest at a 5% loss. He earned a profit of 15% in the entire transaction. What is the quantity (in kg) of rice that he sold at a 5% loss?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 128
Let the trader sells the quantity of rice sold at 5% loss be x
Quantity of rice sold at 20% profit be 640 - x
⇒ x × 95 + (640 - x) × 120 = 640 × 115
⇒ 95x + 76800 - 120x = 73600
⇒ 25x = 3200
⇒ x = 128