Question

In a market, the price of medium quality mangoes is half that of good mangoes. A shopkeeper buys 80 kg good mangoes and 40 kg medium quality mangoes from the market and then sells all these at a common price which is 10% less than the price at which he bought the good ones. His overall profit is

• A. 6%
• B. 8%
• C. 10%
• D. 12%

Answer 1

The Correct Option is B

Let the price of good mangoes be \( x \) per kg. Therefore, the price of medium quality mangoes is \( \frac{x}{2} \) per kg. The shopkeeper buys:

• 80 kg of good mangoes at \( x \) per kg, total cost = \( 80x \). 
• 40 kg of medium quality mangoes at \( \frac{x}{2} \) per kg, total cost = \( 40 \times \frac{x}{2} = 20x \).

Total cost price for the shopkeeper = \( 80x + 20x = 100x \).

The selling price per kg is 10% less than the price of good mangoes, so the selling price per kg = \( x - \frac{10}{100}x = 0.9x \).

• The shopkeeper sells 80 kg of good mangoes + 40 kg of medium quality mangoes = 120 kg at \( 0.9x \) per kg.
• Total selling price = \( 120 \times 0.9x = 108x \).

Profit = Selling Price - Cost Price = \( 108x - 100x = 8x \).

Profit Percentage = \( \frac{\text{Profit}}{\text{Cost Price}} \times 100 = \frac{8x}{100x} \times 100 = 8\% \).

Therefore, the overall profit is 8%.