A shopkeeper is selling a gift packet of fruits in which he is mixing apples and mangoes. The packet contains total of 12 kg fruits at an average rate of ₹100 per kg. In the packet there are 8 kg of apples at the rate of ₹90 per kg, while there are 4 kg of mangoes at the rate of ₹X per kg. Find the value of 'X'.
Note: All other charges are to be ignored for packing.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 120.
Total cost of apples: 8 kg of apples at ₹90 per kg gives a cost of 8 × 90 = ₹720
Remaining cost: Since the total cost of 12 kg of fruits is ₹1200 with an average price of ₹100 per kg,
The cost of the remaining 4 kg (12 - 8) comes to 1200 - 720 = ₹480.
Cost of mangoes: Therefore, the 4 kg of mangoes cost ₹480.
Price per kg of mangoes: Divide the total cost by the weight to find the price per kg: X = 480/4 = ₹120.
Therefore, the value of 'X' is ₹120. This means the mangoes are being sold at ₹120 per kg.