Multiple choice

Mahesh is a small farmer and he recently harvested sugarcane. He has 50 kg of sugarcane left over. He sells a part of that at 10 percent profit and the rest at 5 percent loss. He gains 7% on the whole. What quantities are sold at 10 percent gain and 5 percent loss?

  1. Gain - 30 kg, Loss - 10 kg

  2. Gain - 40 kg, Loss - 15 kg

  3. Gain - 35 kg, Loss - 40 kg

  4. Gain - 40 kg, Loss - 10 kg

  5. Gain - 50 kg, Loss - 10 kg

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let x be the amount at 10% gain, 50-x at 5% loss. 0.1x - 0.05(50-x) = 0.07 * 50 = 3.5. 0.1x - 2.5 + 0.05x = 3.5. 0.15x = 6. x = 6/0.15 = 40. So 40 kg at gain, 10 kg at loss.