A spice merchant bought 18 kg of Turmeric at ₹320/kg and 28 kg of Coriander at ₹260/kg. He mixed them. Due to market conditions, he had to sell the mixture at ₹290/kg. Calculate the loss or gain.
Correct Answer :
Profit of ₹300
Solution :
The correct option is Profit of ₹300.
Step 1: Calculate the total cost price (CP) of the mixture
The merchant bought 18 kg of Turmeric at ₹320 per kg.
Cost price of Turmeric = 18 × 320 = ₹5,760
The merchant bought 28 kg of Coriander at ₹260 per kg.
Cost price of Coriander = 28 × 260 = ₹7,280
Total cost price of the mixture (CP) = ₹5,760 + ₹7,280 = ₹13,040
Step 2: Calculate the total selling price (SP) of the mixture
Total weight of the mixture = 18 kg + 28 kg = 46 kg
The mixture was sold at ₹290 per kg.
Total selling price of the mixture (SP) = 46 × 290 = ₹13,340
Step 3: Determine the profit or loss
Since the total selling price (₹13,340) is greater than the total cost price (₹13,040), the merchant made a profit.
Profit = SP - CP
Profit = ₹13,340 - ₹13,040 = ₹300
Thus, the merchant earned a Profit of ₹300.
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