In a market, the price of medium quality mangoes is half that of good mangoes. A shopkeeper buys good mangoes and medium quality mangoes from the market and then sells all these at a common price which is less than the price at which he bought the good ones. His overall profit is
In a market, the price of medium quality mangoes is half that of good mangoes. A shopkeeper buys good mangoes and medium quality mangoes from the market and then sells all these at a common price which is less than the price at which he bought the good ones. His overall profit is
Solution
We need to set up the costs and selling prices clearly.
Let the price of good quality mangoes = rupees per kg
Since medium quality mangoes cost half of good mangoes:
Price of medium quality mangoes = rupees per kg
The shopkeeper buys:
80 kg good mangoes at per kg = rupees
40 kg medium mangoes at per kg = rupees
Total cost price = rupees
The shopkeeper sells ALL mangoes at a common price.
This common selling price = 10% less than the price of good mangoes
= rupees per kg
Total quantity sold = 80 + 40 = 120 kg
Why 120 kg? Because he sells all the mangoes he bought - both good and medium quality together.
Total selling price = 120 kg × 0.9g per kg = rupees
Profit = Selling price - Cost price = rupees
Profit percentage =
=
Therefore, his overall profit is 8%.
In mixed inventory problems like this, always:
Calculate total cost by adding individual costs
Find the common selling price per unit
Multiply by total quantity to get total selling price
Use the profit percentage formula: