Question

A shopkeeper has 50 kg of mangoes. He sells some at a loss of 10% and gained 25% in the remaining mangoes. If he earned an overall profit of 18%, then how many did he sold at a loss?

• A. 10 kg
• B. 18 kg
• C. 20 kg
• D. 25 kg

Answer 1

Answer:

A. 10 kg

Let the mangoes sold at a loss be ‘x’ kg. Loss = 0.1x Mangoes sold at profit = (50 – x) kg Gain = 0.25(50 – x) = 12.5 – 0.25x 0.18 × 50 = 12.5 – 0.25x – 0.1x 9 = 12.5 – 0.35x 0.35x = 3.5 x = 3.5/0.35 = 10 kg