A trader bought 300 kg of rice, part at ₹18 per kg and the rest at ₹24 per kg. He sold all at ₹27 per kg and made a total profit of ₹2,100. If the quantity bought at ₹18 was twice that bought at ₹24, find the quantity bought at ₹24 per kg.
Show answer & explanation
Correct answer: D
Explanation
Given:
Total quantity of rice = 300 kg
Selling price = ₹27/kg
Total profit = ₹2100
Quantity purchased at ₹18/kg = Twice the quantity purchased at ₹24/kg
According to the formula:
Profit = Total Selling Price − Total Cost Price
Let the quantity purchased at ₹24/kg be x kg.
Then, the quantity purchased at ₹18/kg is 2x kg.
x + 2x = 300
3x = 300
x = 100
Quantity purchased at ₹24 per kg = 100 kg