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
Correct Answer :
8%
Solution :
Correct Option: B
Let the price of good quality mangoes be Rs. 2x per kg.
Then, the price of medium quality mangoes is Rs. x per kg.
The cost price (CP) for 80 kg of good mangoes and 40 kg of medium quality mangoes is:
CP = 80 * 2x + 40 * x = 160x + 40x = 200x
The selling price (SP) of each kg of mango is 10% less than the buying price of good mangoes:
SP per kg = 2x - 10% of 2x = 1.8x
The total quantity of mangoes sold is:
80 kg + 40 kg = 120 kg
Therefore, the total selling price (Total SP) is:
Total SP = 120 * 1.8x = 216x
The overall profit is:
Profit = Total SP - CP = 216x - 200x = 16x
The profit percentage is:
Profit % =
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